A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Answer 1

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0


Related Questions

help ASAP plz and Thankyou

Answers

Answer: B

Step-by-step explanation:

mass and weight math​

Answers

Answer: There is 10,000 ug in 1 cg

when is the function decreasing?

A. (15, 40)
B. (30, 55)
C. (60, -40)
D. (40, 60)​

Answers

I believe it is C. (60, -40)

A triangle has side links of 16 cm, 63 cm, and 64 cm. Classify it as acute, obtuse, or right

Answers

Answer:

acute

Step-by-step explanation:

All sides are smaller than 90 degrees

Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18

Answers

Answer:

18 would be yr answer

Step-by-step explanation:

What does round to the nearest hundredth mean?

Answers

Answer:

Step-by-step explanation:

say for example you have 105 as a answer you would round to 100 because it a closer to 100 than 200

The hundredths place is the second place after the decimal. So if you have something like 13.4667 and you have to round to the nearest hundredth, it would be 13.47

The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. ​f(x)=−5x2 The curvature function is κ​(x)=nothing.

Answers

Answer:

K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = [tex]-5x^2[/tex]

first Determine the value of F'(x)

F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]

 K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

       

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents

Answers

The expression 48s represents the cost of the scarves.

Given

Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.

Let s represent the price of the scarves.

The cost of each scarves is 48.

Therefore,

The cost of scarves = Number of scarves × cost of each scarves.

The cost of scarves = s × 48

The cost of scarves = 48s

Hence, the expression 48s represents the cost of the scarves.

To know more about Expression click the link given below.

https://brainly.com/question/18371860

Answer:In the expression 48s ,represents the number of scarves and 48 represents  the price per scarf

Step-by-step explanation:

Joshua withdrew $32.50 each week for six weeks for pitching lessons. By how much did these lessons change his savings account balance?

Answers

32.50 each week times 6 and withdraw that amount from your account would be the answer

Answer:

$195.00

Step-by-step explanation:

32.50 times 6 = 195.00

take 32.50 times 6 cause he took out money for 6 weeks of lessons then you do 32.50 times 6 and you should get 195

I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year​

Answers

Answer:

1,100

Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100

Answer:

not 1,100 its 1100

Step-by-step explanation:

PLEASE HELP FAST!!!! THIS IS URGENT!!!


For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.

1) m∠A = _____˚

2) m∠B = _____˚

3) m∠C = _____˚

4) m∠X = _____˚

5) m∠Y = _____˚

6) m∠Z = _____˚

7) Segment AB = ___ units

8) Segment BC = ___ units

9) Segment AC = ___ units

10) Segment XY = ___ units

11) Segment YZ = ___ units

12) Segment XZ = ___ units​

Answers

Answer:

a=53, b=90, c=37, x=53, y=90, z=37

segment ab=3, segment bc=4, segment ac=5

pretty sure these are the answers but sorry if not

Step-by-step explanation:

What is y = -2/9x + 2 written in standard form?

Answers

Answer:2x+9y=18

Explanation:Move the expression to the left-hand side and change its sign.(y+2/9x=2)Next,multiply both sides of the equation by 9.(9y+2x=18)Lastly,use commutative property to reorder the terms.(2x+9y=18)

Write the decimal represented by each shaded square.

Answers

that’s a 100 mode and there 53 squares shaded so it’s gonna be 0.53 :))

HELP ON #15 PLEASE GIVE ME ANSWER!

Answers

Answer: so it’s 85?

Step-by-step explanation:

Find the equation of a line that contains the points (7,3) and (−7,2). Write the equation in slope-intercept form, using fractions when required.

Answers


Answer: Y=1/14x+5/2
Explanation: find the slope of the contains point first by using the slope formula. Then use the point slope formula to find the slope intercept.

How many solutions does this system of equations have? Exactly one None Infinitely many Exactly two

Answers

None because they are parallel and not equal.

50 students were surveyed about their
favorite ice cream. Here are the results:

Chocolate- 13
Vanilla- 25
Cookie Dough- 12

What decimal represents the students who
prefer cookie dough?

Answers

Answer:

0.12

Step-by-step explan

Somebody please answer this question I’m begging you

Answers

Answer: The answer is A, the y value increases by 1.5 as the x value increases by 1. Therefore A does not describe the graph.

How do you Graph: -3x – 2y = -8

Answers

Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Answers

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].

Given,

Membership plan is [tex]\$50[/tex] per month.

We have to write a piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours.

Here, [tex]\$[/tex][tex]$50[/tex] per month fees includes 10 hours of driving each month, so the cost for a month is given as,

[tex]f(x)= 50+9(x-10)[/tex]

Here [tex]x[/tex] is the no. of additional hours for the month.

Further,

[tex]f(x)= 9x-40[/tex].

Now at,

[tex]lim _{x \to 10^+}f(x) = 9\times 10-40\\[/tex]

Or,

[tex]f(x)= 90-40\\f(x)=50[/tex]

Similarly, at left limit,

[tex]lim _{x \to 10^-}f(x) = 9\times (-10)-40[/tex]

Or,

[tex]f(x)=-90-40[/tex]

[tex]f(x)=-130[/tex]

Finally at [tex]x=10[/tex], [tex]f(x)=9\times10-40[/tex]

[tex]f(x)=90-40\\f(x)=50[/tex]

Since [tex]lim{x \to}10^+[/tex] [tex]\neq limx\to 10^-\neq f(x) (at x= 10)[/tex]

So the required function [tex]f(x)[/tex] is discontinuous at [tex]x=10[/tex]

Hence the piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].

For more details on limit follow the link below:

https://brainly.com/question/12383180

You have $150 in a savings account and you have some cash. The tape diagram represents the ratio of the amounts of money. You want to have twice the amount of money in your savings account as you have in cash. How much of your cash should you deposit into your savings account?

Answers

Answer: $200

Step-by-step explanation:

We know that:

You have $150 in a savings account.

This is represented with two tiles.

Then each tile represents:

$150/2 = $75

And in cash you have 5 tiles, then in cash you have:

5*$75 = $375.

Then the problem is:

You have $150 in the savings account

You have $375 in cash.

You want to deposit a quantity such that you have twice the amount of money in your savings account as you have in cash.

Suppose that you move a quantity X from cash to the savings account, then now we have the situation:

Sav. Acc. = $150 + X

Cash = $375 - X

And we want that:

Sav. Acc. = 2*Cash

($150 + X) = 2*($375 - X)

Let's solve this for X.

$150 + X = $750 - 2*X

3*X = $750 - $150 = $600

X = $600/3 = $200

You should deposit $200 in the Savings acount.

Tape diagrams are used to represent numbers as a ratio

$200 from the cash should be deposited into the savings account

Represent the amount in the savings account with s, and the cash with c.

So, we have the following ratio from the tape diagram

[tex]\mathbf{s : c = 2 : 5}[/tex]

You have $150 in the savings account.

So, the ratio becomes

[tex]\mathbf{150 : c = 2 : 5}[/tex]

Express as fractions

[tex]\mathbf{\frac c{150}= \frac 52}[/tex]

Multiply both sides by 150

[tex]\mathbf{c= \frac 52 \times 150}[/tex]

[tex]\mathbf{c= 375}[/tex]

Let the deposited amount be x.

Twice the amount in the savings account as cash means that:

[tex]\mathbf{150 + x = 2 \times (375 - x)}[/tex]

Open brackets

[tex]\mathbf{150 + x = 750 - 2x}[/tex]

Collect like terms

[tex]\mathbf{2x + x = 750 - 150}[/tex]

[tex]\mathbf{3x = 600}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 200}[/tex]

Hence, $200 from the cash should be deposited into the savings account

Read more about tape diagrams at:

https://brainly.com/question/22960561

HELP, ILL GIVE BRAINLIEST BUT HELP ASAP WITH THIS!!

Answers

Answer:

proportional

Step-by-step explanation:

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

Answers

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

Help plz this is due at 11:59

Answers

Answer:

A

Hope this helps ;)

A ITS A HOPE IT HELPED

Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be

Answers

Answer:

x=15ft

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

b^2+64=289

b^2=225

b=15

please help!! The picture has the question.

Answers

Answer:

B.

Step-by-step explanation:

They are used to the climate and they are harder the the rest.

Answer:

dry climate or

Step-by-step explanation:

they are in wet climate

Analyze the diagram below and answer the question that follows.​

Answers

Step-by-step explanation:

option d is the correct answer

The answer is D. Alternate exterior angles

Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 20 elderly women gathered once a week to discuss different works of art. The study also included a control group of 20 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.

Required:
a. Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?
b. Explain why you think that the researchers included a control group in this study.

Answers

Step-by-step explanation:

1. By assigning women at random. It would make these 2 groups comparable abc the result from the research or investigation would be more useful and valid. It is very important that there are two comparable groups.

2. A control group is useful in comparing both groups. It would help us to check if there's really an effect or if there is none. If all women were in in art group then all would likely make improvements and there would be no means of verifying this.

F(x)=3x+2 and g(x)=x^3 find (fog)(-5)

Answers

Answer:

Explanation:

f(x) = 3x+2
g(x) = x^3

(f • g)(x) = (3x+2)(x^3)
(f • g)(x) = 3x^4 + 2x^3
(f • g)(-5) = 3(-5)^4 + 2(-5)^3
(f • g)(-5) = 3(625) + 2(-125)
(f • g)(-5) = 1875 - 250
(f • g)(-5) = 1625

A figure is made up of four congruent right triangles and a square as displayed.

What is the area, in square inches, of the figure?

Answers

Answer:

It would be 33² in.

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