A surfboard manufacturer makes small and large surfboards. The production process has three stages: assembly, finish, and inspection. Each small surfboard requires 3 hours to assemble, 2 hours to finish, and 1 hour for inspection. Each large surfboard requires 4 hours to assemble, 3 hours to finish, and 1.5 hours for inspection. There are 140 hours available for assembly, 100 hours to finish, and 50 hours for inspection. The large surfboard makes $150 profit per board. The small surfboard makes $100 profit per board.Linear programming will be used to create the weekly production schedule.What would be a constraint for this problem if S

Answers

Answer 1

Answer:

z(max)  =  5000

x₁  =  2

x₂  = 32

Step-by-step explanation:

Time               Assemble       Finish       Inspection       Profit

Small   x₁               3                  2                  1                   100

Large   x₂              4                  3                  1,5                150

Availablity          140              100                50

Objective function:

z  =  100*x₁   +   150*x₂   to maximize

Subject to:

First constraint assembly capacity 140 hours

3*x₁  +  4*x₂   ≤  140

Second constraint finishing capacity 100 hours

2*x₁  + 3*x₂   ≤  100

Third constraint inspection capacity   50 hours

x₁  +  1,5*x₂    ≤  50

Model:

z  =  100*x₁   +   150*x₂   to maximize

Subject to:

3*x₁  +  4*x₂   ≤  140

2*x₁  + 3*x₂   ≤  100

x₁  +  1,5*x₂    ≤  50

General constraints    x₁  ≥  0    x₂  ≥  0  and integers

With the use of AtomZmath.com (online solver)

After 6 iterations the solution is:

z(max)  =  5000

x₁  =  2

x₂  = 32


Related Questions

Sal purchases a new gaming system and games for $530. The tax is 7%. How much would he spend in taxes only ?

Answers

Answer: 37.1

Step-by-step explanation: 530 x .07

Answer:

$37.10

Step-by-step explanation:

You have to take the total price and multiply it by the decimal equivalent of the sales tax. In this case, 7% = 0.07, and so 530 x 0.07 = 37.10. If you wanted to get the total price (for future reference) then you would simply add the tax total to the original price.

What value of x satisfies this equation?

10(1.5)^3x = 80

Round your answer to the nearest hundredth.

The value of x is ___

Answers

Answer:

1.71

Step-by-step explanation:

got it right on my test

The required value of x for the given equation is about 1.71.

Equation:

Important information:

The given equation is [tex]10(1.5)^{3x}=80[/tex].

Divide both sides by 10.

[tex](1.5)^{3x}=\dfrac{80}{10}[/tex]

[tex](1.5)^{3x}=8[/tex]

Taking log on both sides, we get

[tex]\log (1.5)^{3x}=\log 2^3[/tex]

[tex]3x\log (1.5)=3\log 2[/tex]

Divide both sides by 3log(1.5).

[tex]x=\dfrac{3\log 2}{3\log 1.5}[/tex]

[tex]x=\dfrac{\log 2}{\log 1.5}[/tex]

[tex]x\approx 1.71[/tex]

Therefore, the required value of x for the given equation is about 1.71.

Find out more about 'Equation' here:

https://brainly.com/question/11162571

find the value of the ratio a:5.7=8:12​

Answers

Answer:

a = 3.8

Step-by-step explanation:

a : 5.7 = 8 : 12

It can be also written as -

[tex] \frac{a}{5.7} = \frac{8}{12} [/tex]

[tex] = > \frac{a}{5.7} = \frac{2}{3} [/tex]

Multiplying 5.7 on both the sides ,

[tex] = > \frac{a}{5.7} \times 5.7 = \frac{2}{3} \times 5.7 [/tex]

[tex] = > a = \frac{2}{3} \times 5.7 = 3.8[/tex]

Find the value of x justify a reason for your setup

Answers

Answer:

4(x+6)=(5x+11)

4x+24=5x+11

5x-4x=24-11

x=13º

angles trimmed by the vertices have the same measure

Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get

Answers

Right now, you have 3 pizzas and 12 people. That makes the fraction 3/12. You can simplify this fraction. All you have to do is divide both 3 and 12 by 3.

So, 3/3 =1
12/3 =4

The fraction is 1/4

This is due today!!! Please help!!! C. What number is 40% of 160

Answers

Answer:

64

Step-by-step explanation:

40% = .4

160*.4 = 64

64 = 40% of 160

h = 3p + 5
Find the value of h when p = 7

Answers

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

What is linear equation in two variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

What is substitution method?

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

h = 26

Hence, the value of h will be 26, when p =7.

Learn more about linear equation in two variable here:

https://brainly.com/question/24085666

#SPJ2

log5 (x) <-2
I need help fast

Answers

Answer: x < -2.861353

Step-by-step explanation:

simplify to: 0.69897x <-2

divide both sides by 0.69897

0.69897/0.69897 < -2/0.69897

so the answer is x < -2.861353

Put in Lowest Terms: 7x + 5 - 6x + 2
Helppp

Answers

Answer:

1x+7

Step-by-step explanation:

7x+5-6x+2

7x-6x =1x

5+2=7

1x+7

Answer:

1x + 7

Step-by-step explanation:

hey there!first, we put the x numbers on one and the numbers without the x on one side that will look like 7x-6x + 5 + 2 then we slove them that will look like 1x +7 now we add them but we cant not add them because one number is with x and the other number is not with x. if we can not slove we can write them as 1x + 7

have a wonderful day

For f(x) = 4x, find the value of x for which f(x) = 28
A. x = 28
B. x = 7
C. x = 112
D. x = 4

Answers

The answer is x=7 so it’s B

Solve this equation 2(a+3)=-4

Answers

Answer:

= -5

Step-by-step explanation:

Answer:

the answer is a=-5

Step-by-step explanation:

I got it right


Which one for number 1?????

Answers

Answer:

leaking out of the tank

Step-by-step explanation:theres a " - " in the back of the number

Need help as soon as possible!!!!!!

before using a microscope, should the stage be way up?



True or False. And please tell me why you got that answer....

Answers

Answer:

Move it up as far as it will go without letting the objective touch the coverslip.

Step-by-step explanation:

The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?

Answers

Answer:

r =13

Step-by-step explanation:

on the picture

If it's helpful ❤❤

THANK YOU.

reposting because nobody will help me..

Answers

Answer:

B

Step-by-step explanation:

18 = 2 * 3 * 3 = 2 *3²

[tex]18*3^{(n+2)} = 2*3^{2}*3^{n+2}\\\\[/tex]

                [tex]= 2*3^{2+n+2}\\\\= 2*3^{n+4}\\\\= 2(3)^{n+4}[/tex]

Hint:

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

Please need help on this one

Answers

Step-by-step explanation:

Since Angle DAB = 90°,

DB is the diameter of the circle.

Therefore m(Arc DA) + m(Arc AB) = 180°.

=> m(Arc AB) = 180° - 47° = 133°.

At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How lond did it take to complete each game? Use letters to represent the unknowns.

Answers

Answer: game 1  10 mins game 2 22

Step-by-step explanation:

Dustin bought 2/3 pounds of peaches for $3.00.what was the price he paid per pound of peches

Answers

Answer:

3

Step-by-step explanation:

if 2/3 was 3/3 then it would be divided into 3 there for 3

simplify equation: 6x2+7x−3x2−2x

Answers

Answer:

8x+4

Step-by-step explanation:

What percentage of 18 is 24? plss answer dis need it RIGHT NOW.

Answers

Answer:

75%

Step-by-step explanation:

Answer: 75

Step-by-step explanation: there ya go M8


Which is most likely the equation of the graph above?
Oy-5
O y=x+5
Ox=5
O y = 5x

Answers

Answer:

the answer is Y=5

hope this helps☺

Write the equation as a single logarithm.
log(x^2- 16) -log(x + 4)
a. log4
c. 108((x^2- 16)(x + 4)
b. log(x-4)
d. Iog(x + 4)

Answers

Answer:

B-log(x-4)

Step-by-step explanation:

Have a nice day lol i just know things

The equation as a single logarithm is:

[tex]log[(x^2 - 16)/(x + 4)].[/tex]

Option C is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the logarithmic identity,

log a - log b = log (a/b)

We can simplify the given expression as:

[tex]=log(x^2 - 16) - log(x + 4) \\= log[(x^2 - 16)/(x + 4)][/tex]

Therefore,

The equation as a single logarithm is:

[tex]log[(x^2 - 16)/(x + 4)].[/tex]

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

The chess club ordered 40 pizzas to be divided equally among 120 participants. How much pizza will each participant get? Pick the answer
A). 3 pizzas
B). 2 pizzas
C). 1/2 of a pizza
D). 1/3 of a pizza

Answers

The answer would be C I think

subtract 10 from w, then subtract 5 from the result
help me pleaseee

Answers

Answer:

w-10-5

Step-by-step explanation:

you are looking for the expression right??

w - 10 = -5
+ 10 +10
w = 5

Find the two numbers that have a mean of 12 and a range of 6.​

Answers

Answer:

9 and 15

Step-by-step explanation:

9 + 15 = 24/ 2 = 12

15 - 9 = 6

The two numbers are 15 and 9.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

Mean of two number is 12 and range is 6.

let the two number be a and b

So, Mean = (a + b)/ 2

12 = (a + b)/ 2

a+ b= 24.........(1)

Now, range = 6

a - b = 6........(2)

Solving equation 1 and 2 we get

2a = 24-6

2a = 18

a= 9

and, b= 24 - 9

b = 15

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

i need help for my math homework:

If we all draw a triangle using the same three side
lengths, will we all draw exactly the same triangle?

Answers

Answer: The triangles will all be the same.

Step-by-step explanation: They might be in different orientation, but they are congruent, and they can be rotated to all match up.

One proof of congruence is "sss" meaning "If the three sides of different triangles are the same, the triangles are congruent."

HELP! 85 POINTS IF RIGHT!
A person noted that the angle of elevation to the top of a silo was 65° at a distance of 9 feet from the silo. Using the diagram approximate the height of the silo. *Round to the nearest whole foot*​

Answers

Answer: Wouldnt the height be 585? Rounded would be 590?

Step-by-step explanation:

I thought you would have to multiply 65 x 9.

Answer:

24.7273 ft or 25 ft

Step-by-step explanation:

What is the answer to 2.5d + 7.5 = 20

Answers

Answer:

d=5 mark brainliest if satisfied

Step-by-step explanation:

Subtract 7.5 from both sides

2.5d=12.5

d=5

Jerry has been learning to multiply decimals by Integers.
When you multiply an Integer
by 0.01, it's the same as
dividing it by 100.
Is he correct? Prove your answer with examples!​

Answers

Answer:

Yes

Step-by-step explanation:

Multiplying an integer by 0.01 is the same as Dividing such as :

0.01 = 10^-2

100= 10

For instance :

A number, n = 5 is multiplied by 10^-2

5 * 0.01 = 0.05

Thus, divide the number, n by 100;

5 / 100 = 0.05

Hence, the proof.

Can someone one plz answer this for me !

Answers

Answer:

-7

Step-by-step explanation:

Also for the last two you gave, the answers to your questions were wrong. They gave you the wrong answer. The answer for the other 2 were A ($30) and the slope for the other answer was (1/2)

Other Questions
unscramble the words in spanish. PLEASE HELP!!! PLEASE HELP!!!! i will give brainliest. Anyas team won 5 out of every 7 games this season.If the team played 28 games this season, how many games did they win? At time=0s, the object is at the 21.0-meter position along the roadway. Where is the object at time = 10 s?A) 91 mB) 70 m C) 140 m D) 96 m Solve the inequality - 2x + 1 > 2x - 11 Which of the following functions is graphed below? Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ... You deposit $572.34 into a account that pays 4.5% interest.How much interest do you earn after 60 months Plz show work Armand is monitoring a large sealed tank by way of a sensor that records the liquid level over time on a graph. He looks at the graph and claims that the sensor indicates there are waves in the liquid in the tank.In the space provided, answer each of the following.Part A: Explain how Armand knows that there is a wave in the tank.Part B: Find the amplitude, in centimeters (cm), and frequency, in number of waves every second/cycle per second (Hz), of the wave. The picture shows the deck of a house.2 m3 m3 m3 mWhat is the total area of the deck? Enter the answer in the box. Read the recipe for making brownies.Which step in this recipe needs additional informationfor the brownies to bake correctly?1 egg1/2 cup of softened butter2 cups flourO step 1Ostep 2O step 41 cup sugarStep 51 cup of sweetened cocoa2 teaspoons baking soda1 teaspoon salt1. Preheat the oven.2. Mix the eggs and butter in a bowl until smooth.3. Add the flour, sugar, cocoa, baking soda, and salt tothe bowl.4. Mix the ingredients until thick and creamy.5. Pour the mixture into a 9x12-inch non-stick bakingdish.6. Bake for 25 minutes.Mark this and returnSave and ExitNextSubmit On a coordinate plane, triangle A B C is shifted 6 units to the right to form triangle A prime B prime C prime. The translation shown in the graph moves the figure to the right. What kind of translation is shown? Substitute each variable to determine whether the inequality statement is true or false. 1.) 9 > d , d = 3 2.) -16 > -f , f = 15 What is Two thirds of four forths-fifths of a dozen Samantha finds some nickels and pennies under the couch cushions. How much money (in dollars) does she have if she has 120 nickels and 100 pennies? How much money (in dollars) does she have if she has xx nickels and yy pennies? Total value, 120 nickels and 100 pennies (dollars): Total value, xx nickels and yy pennies (dollars): How is the earthworm beneficial to the formation of soil?A)They eat soil.B)They digest soil.C)They mix soil.D)They aerate soil.E)All of the above. Which of these functions had a greater rate of change than the function graphed below, and why? A 240 kg crate full of bricks is pushed across a surface with an acceleration of 1.3m/s2. If the crate travels a distance of 4.6 m, How much work is being done? The Crusades involved which two groups Which sugar is the storage form of glucose in plants? Karen screams at 13 employees for not putting enough cheese in her nachos, then she screams at 17 more employees for getting her drink wrong how many employees did Karen scream in total?A. 30B. 21C. 45