1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nezavi [6.7K]
2 years ago
5

18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cos

t him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.

Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.

Let x represent the number of book case and let y represent number of tv stand.

Total number of book case and total number of tv stand is x+y≤18     ......(1)

Total amount of book case and total amount of tv stand is 20x+40y≤600   ......(2)

minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.

Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get

x+y=18

When x=0 then

0+y=18

y=18

When y=0 then

x+0=18

x=18

Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get

20x+40y=600

When x=0 then

20(0)+40y=600

40y=600

y=15

when y=0 then

20x+40(0)=600

20x=600

x=30

Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.

From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)

Further, we will find the maximization profit for the equation Z=60x+100y

When (x,y)=(0,0) then

Z=60(0)+100(0)

Z=0

When (x,y)=(6,12) then

Z=60(6)+12(100)

Z=360+1200

Z=1560

When (x,y)=(0,15) then

Z=60(0)+12(15)

Z=0+1500

Z=1500

When (x,y)=(18,0) then

Z=60(18)+100(0)

Z=1080

Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.

Learn more about inequality from here brainly.com/question/9774970

#SPJ1

You might be interested in
Find the volume of the cylinder
Alex787 [66]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

8 0
3 years ago
Read 2 more answers
Which is the value of the expression when x=-2 and y =-3
a_sh-v [17]

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

6 0
3 years ago
Read 2 more answers
You are bidding on three items available on an online shopping site. You think that for each bid you have a 30% chance of winnin
OLEGan [10]

Answer:

a. 0.027 or 2.7%

b. 0.973 or 97.3%

Step-by-step explanation:

Please kindly check the attached file for explanation

7 0
2 years ago
Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos a
Serhud [2]
<span>I had the same question on my quiz
The answer is that The number could be 3 or any integer less than 3.</span>
7 0
3 years ago
Read 2 more answers
2x + 3y = 17<br> 5x + 6y = 32<br><br> Usibg method if elimination
lions [1.4K]

Answer:

Solution (-2, 7)

Step-by-step explanation:

2x + 3y = 17      (1)

5x + 6y = 32    (2)

Using elimination method

Multiply (-2) to the equation (1)

-4x - 6y = -34  

Now you have 2 new equations

-4x - 6y = -34

5x + 6y = 32

----------------------------Add

x = -2

Substitute x = -2 into 2x + 3y = 17

2(-2) + 3y = 17

- 4 + 3y = 17

3y = 21

 y = 7

Solution (-2, 7)

6 0
2 years ago
Other questions:
  • cashews cost 4c per packet. mandy buys 4 packets of cashews. how much change does she recieve if she paid with a $20 bill? Give
    8·1 answer
  • What the answer to estimate 8,288.4x43.
    14·1 answer
  • use the graph of y=e^x to evaluate the expression e^0. round the solution to the nearest tenth if necessary​
    15·1 answer
  • Can someone please help me
    5·1 answer
  • The formula for the volume of this rectangular prism is: V = 5x3 + 29x2 + 34x – 8 Find an expression for the missing side length
    5·1 answer
  • 25 points - Can anyone solve this pls?? ty so much
    12·1 answer
  • Solve for x. 3(5 + 4x) = 75
    5·2 answers
  • Please help me asap​
    5·1 answer
  • Alon built a sand castle that measured 15 feet by 11 feet, and dug a moat around it. Afterward. they decided to change the castl
    7·1 answer
  • √(x+9) +2012√(x+6)=2012+√(x+9)(x+6)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!