H2 O'Yeah has designed a water purification device that is drastically different and far superior to any product currently on the market. Although consumer response was positive to the idea of the new product, management wants to find out more before committing to full-scale production. The next step H2 O'Yeah's marketing department is likely to take is to Multiple Choice locate a low-cost production site. seek a joint venture with a larger competitor. test market the product among potential users. develop an advertising campaign to persuade consumers of the value of the new water purifier system.

Answers

Answer 1

Answer:

test market the product among potential users.

Explanation:

In the context, it is given that a water purification device manufacturing company, H2 O'Yeah had designed a purification device which is far more better and efficient than any other water purification device currently present in the market.

The customer response about the design of the new purification device was also positive. But before going for mass production of the device, the company, H2 O'Yeah wanted to find out more about the customer 's response and so they are going to test market the device among the potential customers and will take their feedbacks and advices before full scale production.

It is an efficient way for a successful development of a product and knowing about the feedback about the customers.

Therefore the correct answer is "test market the product among potential users."


Related Questions

Priceline and Expedia are two online travel companies. Both are known to utilize ___________ of services such as airline flights and hotel stays to entice customers to purchase both at the same time, for a more reasonable price than what they would pay separately for each of these services. Multiple Choice last-minute fanning trade marking bundling branding

Answers

Answer:

Bundling

Explanation:

Bundling

This is simply regarded as a form pricing strategy. It is used by managers to give or offer several products or services as one package (termed a "bundle"). This is very important as it is useful if your customers' demand is very heterogeneous. Know that price discrimination is infeasible here.

Types of bundling

1. Simply bundling

2. Mixed bundling.

Managers of organizations, businesses or firms do use ths bundling method as it can;

1. It can increase the sellers profit if customers have varied tastes.

2. It is a said to find means to emulate perfect price discrimination when perfect price discrimination is not possible or it is not legal to charge multiple prices for the same product

bundling work best ehen there is big variance in consumers' price sensitivity of demand and when market conditions make it hard to price discriminate.

If a buyer's willingness to pay for a new Honda is $30,000 and she is able to actually buy it for $28,000, her consumer surplus is

Answers

Answer:

$2,000

Explanation:

Calculation to determine the consumer surplus

Consumer surplus=$30,000-$28,000

Consumer surplus=$2,000

Therefore consumer surplus is $2,000

A project is expected to generate annual revenues of $129,300, with variable costs of $72,400, and fixed costs of $18,900. The annual depreciation is $4,950 and the tax rate is 21 percent. What is the annual operating cash flow

Answers

Answer:

$42,950

Explanation:

Data and Calculations

Revenue                                            $129,300

Less variable costs                          ($72,400)

Less  fixed costs                               ($18,900)

add depreciation                                $4,950

Operating Cash flow                         $42,950

Thus

The annual operating cash flow $42,950.

Which concept deals with giving employees the power to make commitments and use resources to accomplish the assigned tasks

Answers

Answer:

The concept of organizing is that which gives employees the right to use resources and make commitments

Setting personal goals, peer evaluations, and parental involvement are all components of what type of instructions?

A.
concrete

B.
essential

C.
manipulative

D.
individualized

Answers

Concrete instructions is the term for setting personal goals, peer evaluations, and parental involvement.

What is concrete instructions?

This is type of instruction that is usually tailored by the teacher to meet the personal goals of the student.

In this type of instruction, the family of the student is usually involved and the peers of the students are all parts of the evaluation process.

Read more on concrete instructions here:https://brainly.com/question/14591988

Answer:

concrete

Explanation:

If the supply of real balances is 300, and the gross domestic product is 90, then the equilibrium interest rate is

Answers

Suppose that the demand for real balances is (M / P)d = (5Y) - (20r). If the supply of real balances is 300, and the gross domestic product is 90, then the equilibrium interest rate is

Answer:

7.5

Explanation:

Given that (M / P)d = (5Y) - (20r).

Where supply of real balances is 300

The gross domestic product is 90

Hence we have 300 = (5Y) - (20r)

Therefore, we have 300 = (5×90) - (20r)

=> 300 = 450 - 20r

=> 20r = 450 - 300

=> 20r = 150

=> r = 150 ÷ 20

=> r = 7.5

Therefore, in this case, the correct answer to the question is that the equilibrium interest rate is 7.5

An unmarried couple wants to buy a house and take title so that when one of them dies the deceased's share will go to the deceased's heirs. The form of ownership they should use when they purchase the house is

Answers

Answer:

tenancy in common

Explanation:

From the question we are given an instance, whereby An unmarried couple wants to buy a house and take title so that when one of them dies the deceased's share will go to the deceased's heirs. The form of ownership they should use when they purchase the house is tenancy in common.

Tenancy in common can be regarded as an arrangement involving two or more people sharing ownership rights as regards a property or parcel of land. This property could be be a

residential property or commercial property . In a case, whereby a tenant in common dies, there would be passing over of the property to that tenant's estate. The control of total property by independent owner may be equal or different percentage of the total property. the tenancy in common partner can decide to leave the share he or she has in the property to any beneficiary as a part of their estate.

Explain the relevance of opportunity cost for a travel firm in deciding how to use its
resources

Answers

Explanation:

Weighing opportunity costs allows the business to make the best possible decision. If, for instance, the company determines an alternative choice's opportunity cost is greater than what the company gains from its initial decision, the company can change its mind and pursue the alternative choice.

Some sellers put specific limitations in the warranty to limit the effectiveness of a warranty. Such a denial or repudiation in an express warranty is known as:

Answers

Answer:

Disclaimer

Explanation:

Express warranties could be simply be described as the agreement which binds a seller and buyer during the purchase of a certain product. Express warranties usually gives buyers the opportunity to return the product to the seller if damaged within a specified period of tine. Express warranty usually has no borders. Tbe use of disclaimer is used by sellers in other to introduce clauses into an express warranty whereby certain terms and conditions are given before the warranty can be deemed as valid. These limitations inteoduced and are capable of voiding the express warranty is called a disclaimer.

In the three-lines-of-defense model of risk management, the enterprise risk management program is responsible for controlling risk on a daily basis. True False

Answers

Answer:

False

Explanation:

The three lines of defense are Operational Management, Risk Management, and Internal Audit.

Operational Management's goal is to prepare and maintain internal controls that will help in executing risk and control procedures on a daily basis. While the purpose of risk management is to ensure that the first line of defense (i.e. operational management) is functioning properly as required.

Keeping the above points in view the statement "the enterprise risk management program is responsible for controlling risk on a daily basis" is false as it is responsible for overseeing the operational management rather than controlling risk on daily basis.

Answer the following question on the basis of the information about the hypothetical economy of Nanawaiya. All figures are in the millions. Not in the labor force 45 Unemployed 7 Total population 45 Employed 95 Discouraged Workers 3 The labor force is __________ Group of answer choices

Answers

Answer:

102 million

Explanation:

Labor force is define as the sum of employed and unemployed in an economy.

Labor force = Employed+ Unemployed

Labor force = 95 million + 7 million

Labor force = 102 million

Pat can either drive to work, which takes half an hour and uses $1.50 worth of gas, or take the bus, which takes an hour and costs $1.00. How should Pat get to work?

Answers

Answer:

pat should drive if saving half an hour is worth $0.50 or more

Explanation:

Marginal cost is the additional cost generated by producing an additional unit of output.

Marginal cost of taking the bus = 1 / 2 = 0.50

Marginal utility is the additional utility derived from consuming one more unit of a good

Marginal utility per good = marginal utility / price of the good

Pat should take the action that would yield him the highest utility given the marginal cost

So,pat should drive if saving half an hour is worth $0.50 or more

Which of the following ways is NOT
legitimate for terminating a contract?
A. Change of mind
B
Lapse
time
C. Performance
D. Breach

Answers

Answer:

A. Change of mind

Explanation:

A contract can be defined as an agreement between two or more parties (group of people) which gives rise to a mutual legal obligation or enforceable by law.

There are different types of contract in business and these includes: fixed-price contract, cost-plus contract, bilateral contract, implies contract, unilateral contract, adhesion contract, unconscionable contract, option contract, express contract, executory contract, etc.

Mutual assent is a legal term which represents an agreement by both parties to a contract. When two parties to a contract both have an understanding of the parameters, terms and conditions surrounding a contract, it ultimately implies that they are in agreement; this is generally referred to as mutual assent.

Generally, the three (3) legitimate reasons for which a contract may be terminated or discharged are;

I. Lapse of time.

II. Non-perfomance.

III. Breach of the contractual agreement.

However, a change of mind by either of the parties in a contract is not a legitimate way for terminating a contract because its duration or time period is yet to elapse.

If policymakers are concerned about the unequal distribution of income within society, then they should prefer a ________ tax system.

Answers

Answer:

Progressive income

Explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

Hence, if policymakers are concerned about the unequal distribution of income among employees or workers within their society, then they should prefer a progressive income tax system.

A motorist from State A struck and injured a pedestrian in State B. The pedestrian, a State B resident, brought an action in a State B federal court against the State A motorist, seeking $100,000 in damages. The summons and complaint were served on a receptionist at the motorist's place of business in State A. State A's rules permit service of process in this manner, while State B's rules do not. If the motorist moves to dismiss the complaint on the basis of improper service of process, is the court likely to dismiss the action

Answers

Answer: C. No, because the federal rules permit service under the rules of the state in which service will be effected.

Explanation:

The case was filed in federal court so the rules regarding the service of the summons will be according to the rules of federal courts.

Rule 4 of the Federal Rules of Civil Procedure allows for the service of a summons to be based on the service rules of the state where the service is to be made. As the service was done in State A and State A allows service to be at defendant's place of business, proper procedure was followed and so the court will not dismiss the action.

Define what liquidity means by completing the following sentence. Liquidity refers to an asset which can be readily used to pay for current

Answers

Answer:

Liabilities

Explanation:

'Liquidity' is described as the 'asset's property of being able to be sold without affecting its value or the degree to which it can be easily converted into cash.' If the liquidity ratio of a company is high, then its ability to pay off its current liabilities is high as well. Therefore, the company can pay off the debtors with immediate effect and thus, it would be able to meet its short-term financial commitments. This is the key reason for people's high investments in the companies having a higher liquidity ratio as they analyze the debt paying capability of the company first.

Third-Party Woes. Trudy owed Sam $40 for a book she purchased from him. Trudy mowed Betty's yard for $40 and agreed with Betty that Betty would pay Sam for the book. Sam is not initially aware of the agreement. Betty pays no one. Trudy also mowed Bob's yard for $40 in return for Bob's agreement to give the payment to Sally representing Trudy's birthday present to Sally. Bob later refuses to do so saying that promises to give gifts are not enforceable. He then moves out of town. Trudy tells both Sam and Sally that she is broke, that Sam needs to get his $40 for the book from Betty, and that Sally is owed $40 from Bob for her birthday present. Which of the following is the likely result if Sam sues Betty for the $40 that Trudy owes him for the book?
A. Sam will win.
B. Sam will lose because his only right of action is against Trudy.
C. Sam will lose because he was not aware of the assignment before the duties were completed.
D. Sam will win, but only if he can prove that Trudy has insufficient funds with which to pay him.
E. Sam will lose because the attempted delegation was against public policy.

Answers

Answer: B. Sam will lose because his only right of action is against Trudy.

Explanation:

Sam had no agreement with Betty to pay him for the book. His only agreement was with Trudy and so he has no right of action against Betty. Had Trudy made him a party to the transaction with Betty, then he would have had a right of action against Betty.

His only option is to go after Trudy as she will not be able to avoid paying him because she delegated the debt, especially as she didn't tell Sam about it.

Because of vast differences between different regions, multinational corporations often use ______ departmentalization.

Answers

Answer:

geographic departmentalization.

Explanation:

It is correct to say that multinational corporations tend to use geographic departmentalization due to the large differences between different regions.

The geographic departmentalization corresponds to a strategy where a company uses a form of structure oriented to a region, that is, it allows the operationalization to be more effective in a region that has greater demand or needs a physical office to better and faster service its customers.

Gillette spent $300 million in advertising to introduce the MACH3 razor to consumers. Such expenditures are often made to stimulate __________ or desire for the product class, rather than for a specific brand, when there are no competitors with the same product.

Answers

Answer:

Primary demand

Explanation:

Demand for a product may be influenced by the company's brand name or based on the demand influenced by the product category. When demand is based on a particular product category rather than for a particular brand type, then we refer to this as primary demand. In the scenario above, the Gillette MACH3 is a particular product produced by Gillette, and the $300 million spent on its advert is for the product rather than to promote the Gillette brand. Hence, this advert spending on the MACH3 which is a particular category of gillete's product is spent to stimulate primary demand of product.

If denied a loan, which of the following changes to your application process will not increase your chances of approval when you re-apply? a. Apply for a larger loan amount. b. Increase your gross monthly income. c. Have a cosigner apply for the loan with you. d. Eliminate some of your debt before you re-apply. Please select the best answer from the choices provided A

Answers

Answer:

a. Apply for a larger loan amount.

Explanation:

In the case when the loan is re-applied after rejecting so if we applying for a larger loan should be rejected even quickly. As if the financial insitution found that the smaller amount loan is been rejected so application made for larger amount of loan should not be helped out for approve. Also there is proper tracking of loans with regard to the customer names

Hence, the option a is correct

Answer:

Apply for a larger loan

Explanation:

edge and quizlet 2021

A ______ is a group of employees, selected for their expertise, who come together on a temporary basis to bring about a particular change in an organization.

Answers

The answer is

“Task Force”

what are the main functions of HR department

Answers

Answer:

Personnel administration.

Personnel recruitment and selection.

Compensation and incentive management.

Development of a positive work climate.

Employee performance evaluation.

Staff training and development.

Labour relations.

Occupational health and safety.

Explanation:

The functions of a human resources Department are numerous and diverse, as this team is responsible for managing a company's human capital to meet the established business objectives. The personnel department is key in any company, from attracting and retaining talent to guaranteeing the interests and well-being of employees.

The Fed can manipulate the reserve ratio in order to influence the ability of commercial banks to do what

Answers

Answer:

loan out money

Explanation:

Reserve ratio is the percentage of deposits that is required of commercial banks to keep as reserves. The lower the ratio, the higher the increase in money supply

If the required reserve ratio is 10% and $100 is deposited, reserves would be $10 and $90 would be lent out

A and B formed a partnership by transferring the following assets to the partnership: A transferred $20,000 in cash, and equipment which cost $27,000, had an adjusted basis of $19,800, and had a fair market value of $30,000; B transferred cash of $50,000. The partnership's basis in equipment transferred to the partnership by A is

Answers

Answer:

$19,800

Explanation:

Based on the information given we were told that they transferred an assets to the partnership of an ADJUSTED BASIS of the amount of $19,800 which therefore means that The PARTNERSHIP'S BASIS IN EQUIPMENT TRANSFERRED to the partnership by A will be $19,800 based on the fact that the basis for the property contributed will be the ADJUSTED BASIS of the property to the partner that contributed during the time of the contribution.

Therefore The PARTNERSHIP'S BASIS in equipment transferred to the partnership by A is $19,800

A cost that remains fixed over limited ranges of volumes but changes by a lump sum when volume changes occur outside these limited ranges is called a _____ cost. multiple choice fixed variable mixed step-wise curvilinear

Answers

Answer:

Variable cost

Explanation:

because sometimes companies set fixed price to other product

Answer:

Stepwise

Explanation:

The correct choice is stepwise cost.

briefly,explain why the depth of floatation of a ship changes when it sails from the Arabian sea to the lndian ocean​

Answers

Answer:

change in density of sea water

The depth of flotation of a ship changes when it sails from the Arabian Sea to the Indian Ocean​ because of the change in the density of sea seawater.

What is the ocean?

The greatest area on earth is referred to as the “ocean.” The ocean's 71% slat water has a light blue appearance. The motion of water waves is the ocean. Magnesium, calcium, and chlorine are abundant in the ocean. The ocean covers the large surface area of the Earth.

The ship captain is driving the ship off the sea and turning into the Indian Ocean changing the depth of the ocean because of changes in the density of seawater. The density of the water can change only based on the temperatures the cool means density increases and hot means decreases.

As a result, the flotation of the ship changes because of the density of the water change.

Learn more about the ocean, here:

https://brainly.com/question/16237714

#SPJ2

Prior to recording adjusting entries, the office supplies account had a $360 debit balance. A count of the supplies showed $105 of unused supplies remaining. The required adjusting entry is

Answers

Answer:

debit Office Supplies Expense, $255; credit Office Supplies, $255.

Explanation:

Based on the information given the required Appropriate adjusting journal entry is:

Debit Office Supplies Expense $255

Credit Office Supplies $255

($360-$105)

How are maquiladoras similar to sweatshops? I. Workers are paid very low wages in both systems. II. Both are prevalent in underdeveloped nations. III. Both are outlawed internationally. A. I. only B. II. only C. I. and III. D. I. and II. Please select the best answer from the choices provided. A B C D

Answers

Answer:

D.) I. and II

I. Workers are paid very low wages in both systems.

II. Both are prevalent in underdeveloped nations.

Explanation:

maquiladora can be regarded as mode of manufacturing that is associated to countries such as Mexico, which is been at up by a foreign company, and it involves export of the manufactured goods out of that country to the origin country of the company. There are some benefits for the factory such as

duty-free as well as tariff-free imports of raw materials. sweatshop can be regarded as sweat factory, it is a crowded workplace that has socially unacceptable as well as

very poor and illegal working conditions. Employees in sweatshops usually have work long hours and petty pay.

It should be noted that maquiladoras similar to sweatshops in ways such was ;

✓Workers are paid very low wages in both systems.

✓Both are prevalent in underdeveloped nations.

Answer:

d

Explanation:

According to equity theory, in order to restore equity or fairness of a work situation a worker may ______. (select all that apply)

Answers

Group of answer choices.

A. try to have the inputs of coworkers increased

B. try to increase the outputs of coworkers

C. try to increase his or her own outputs

D. try to increase his or her own inputs

Answer:

A. try to have the inputs of coworkers increased.

C. try to increase his or her own outputs.

Explanation:

Adam Smith was a Scottish political economist, social and moral philosopher, author and he is famously considered to be the father of modern economics. Smith was born on the 5th of June, 1723 in Kirkcaldy, United Kingdom and he died on the 17th of July, 1790 in Panmure House, Edinburgh, United Kingdom.

The equity theory by Adam Smith helps to measure and strike a balance between the work input and output of a worker.

An equality norm can be defined as a reward system in which the employer or human resource manager decide to compensate or pay the entire workforce the same amount of money without discrimination or favoritism.

Basically, it's paid regardless of individual productivity levels, in order to promote the ability to work effectively in groups.

According to equity theory, in order to restore equity or fairness of a work situation a worker may;

I. Try to have the inputs of coworkers increased.

II. Try to increase his or her own outputs.

Suppose that Dr. Reilly owns a medical clinic and he enters into a contract to buy 500 tablets of Gensol from Pharzime. The Gensol that he orders are 200 milligrams each. The Gensol that is delivered however are 100 milligrams each. Decide.

Answers

Answer: See explanation

Explanation:

Based on the information given, it can be infered that the goods are nonconforming due to the perfect tender rule.

According to the perfect tender rule, a buyer can reject goods that are deliveres to him or her tender of the goods from the seller isn't perfect. Since the Gensol that he orders are 200 milligrams each while the one delivered are 100 milligrams each, then they aren't perfect.

Therefore, the clinic can reject the shipment, or keep some and reject others if it wants to.

Other Questions
Which lines in this excerpt from act I, scene VII, of Macbeth imply that Macbeth considered Duncan a good man? (b) Which of the following is a mixture?A.Sodium chloride solutionB.Sodium chlorideC.SodiumD.Chlorine (2x47x36x2+23x12)(x4) preparacion para perfeccionar el desarrollo de una actividad, especialmente para la practica de deportes A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is [infinity]M = k te^kt dt. 0For the radioactive carbon isotope, 14C, used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a 14C atom. The control department of a light bulb manufacturer randomly picks light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is . When or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.Required:a. Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction.b. Find the standard deviation of p. Complete the steps to solve the equation. 3x - 6(5x + 3) = 9x + 6 1. The distributive property 3x - 30x 18 = gr + 6 2 Combine like terms. -27x - 18 = 9x + 6 3. Addition property of equality: -18 = 36x + 6 4. Subtraction property of equality: -24 = 36x 5. Division property of equality I 1. A biologist studying interactions between ananimal species and its environment is studyingbiology at which level?b. biospherec. organismd. ecosystema. cell Write a paragraph explaining how the arab spring was an expression of nationalism in the arab world. use details from the lesson and the assignment to support your answer Read the following scenario, and then answer the question.Juan assumes that the temperature of the hot tea cooling on his desk can be modeled with an exponential function like this one: T(t)=179(0.92)t. He bases his assumption on the following: The tea cools about 8% every minute. The tea's current temperature is around 179 degrees Fahrenheit.Which explanation correctly addresses Juan's assumption?He is incorrect. The tea will cool linearly since it cools at the same number of degrees every minute.He is correct. The tea will cool exponentially since it cools at a percentage rate every minute.He is incorrect. The tea will cool along the curve of a parabola since it cools at an increasing percentage rate every minute. All rocks follow the same pathway through the rock cycle is a false statement.Why? 3Select the correct text in the passage.Which two sentences contribute to a sense a of hope in this excerpt from "The Story of an Hour" by Kate Chopin?She wept at once, with sudden. wild abandonment, in her sister's arms. When the storm of grief had spent itself she went away to herroom alone. She would have no one follow her.There stood, facing the open window, a comfortable, roomy armchair. Into this she sank, pressed down by a physical exhaustion thathaunted her body and seemed to reach into her soul.She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath ofrain was in the air. In the street below peddler was crying his wares. The notes of a distant song which someone was singing reachedher faintly, and countless sparrows were twittering in the eaves.There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facingher window.She sat with her head thrown back upon the cushion of the chair, quite motionless, except when a sob came up into her throat and shooka her, as a child who has cried itself to sleep continues to sob in its dreams. They call that govment! A man cant get his rights in a govment like that! This manner of speaking is characteristic of which character in The Adventures of Huckleberry Finn? Which of the following is equal to 5^1/3? A. ^35 B. 5^3 C. 53 D. 5 Help!!Quickk!!!!!!!!!!!! An electron has an initial speed of 8.06 x10^6 m/s in a uniform 5.60 x 10^5 N/C strength electic field.The field accelerates the electron in the direction opposite to its initial velocity.(a) What is the direction of the electric field?i. opposite ii. direction to the electron's initial velocityiii. same direction as the electron's initial velocity iv. not enough information to decide(b) How far does the electron travel before coming to rest? m(c) How long does it take the electron to come to rest? s(d) What is the electron's speed when it returns to its starting point? Complete1) what_____you______(do) if a tsunami________(come out) in bs as ( is conditional 0)2) where________you________(live) If you________(win) to much money? (is conditional 2)3)___________you_________(study) the secondary if it_________(not be) obligatory? (is conditional 2)4) I_________(not work) to hard if Money_______(not necessary) to pay things.(is conditional 3)5) if I__________(not get) up earty to work i__________(not finish) with my things.(is conditional 1)6) tania________(not have) breakfast if her mother________(not prepare) the mealfor her(is conditional 3)7) my plants_________(not survive) if the cold winter_________(fall) down over them. (is conditional 0)8) my sister annie_________(tidy) her room if she_______(see) my mother very angry.(is conditional 1)help me please What is the main function of these organs? How did French support of the American Revolution increase problems for King Louis XVI? Find the graph of the solution set of the following system of linear inequalities