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
tigry1 [53]
2 years ago
6

Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

ed, Carrie will earn a profit if she sells chairs for more than $150 each. If material 1 is used, Carrie will earn a profit if she sells chairs for lower than $50 each. If material 3 is used, Carrie will earn a profit if she sells chairs between $45 and $160 each. If material 2 is used, Carrie will earn a profit if she sells chairs between $30 and $120 each. If material 1 is used, Carrie will earn a profit if she sells chairs between $40 and $70 each.
Mathematics
1 answer:
Serjik [45]2 years ago
6 0

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

P(x) = 5000000- 20000x - 200000x + 2000x^2

P(x) = 5000000-220000x + 2000x^2

<u>Material 2</u>

P(x) = 4000000 - 10000x - 160000x+ 1000x^2

P(x) = 4000000-170000x+ 1000x^2

<u>Material 3</u>

P(x) = 2000000 - 5000x - 54000x - 270x^2

P(x) = 2000000 -59000x - 270x^2

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(151) = 4000000-170000 * 151+ 1000* 151^2

P(151) = 1131000

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(49) = 5000000-220000 * 49 + 2000* 49^2

P(49) =-978000

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using P(x) = 2000000 -59000x - 270x^2

So, we have:

P(45) = 2000000 -59000 * 45 - 270 * 45^2

P(45) = -1201750

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(30) = 4000000-170000*30+ 1000*30^2

P(30) = -200000

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(40) = 5000000-220000*40 + 2000*40^2

P(40) = -600000

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

You might be interested in
Plz help me with number 1
BabaBlast [244]
For figure one angle 1 is 98 and for angle 2 it is 82 THEN for figure two both angles are 64 THE LAST ONE figure 3 angle 1 is 157 and angle 2 is 23
3 0
3 years ago
Whitch of the following options have the same value of 15 % of 20​
Gemiola [76]

Answer:

15% of 20 is 3

Step-by-step explanation:

because 15/100 can be reduced if you divide by 5 which will be 3/20. After you multiply 3/20 by 20/1. So 20*3 is 60 divided by 20 because 20*1 equals 20 you get 3.

6 0
3 years ago
What is the force of a 12 kg object that is accelerating at a rate of 6 m/s2?
Leviafan [203]

Answer:

force= mass × acceleration

12×6

72 N

7 0
3 years ago
Explain intersecting, perpendicular, and parallel
inessss [21]
Intersecting is where two lines cross at any angle.
Perpendicular means two lines cross at exactly a 90-degree angle
Parallel indicates that the two lines have the same slope and never cross.
5 0
3 years ago
Read 2 more answers
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160
o-na [289]
You find the area of a triangle by using 1/2*b*h where b is the base and h is the height. since we already know the area is 20 and the height is for you plus them in so the problem would be 20= 1/2 (b) (4) then you multiply what you know together to get 20= 2b and then isolate the b by dividing both sides by two so the base should be 10 m
8 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the function f(x) is shown below.
    5·2 answers
  • What is 0.5 as a percent?
    15·2 answers
  • Express this pharse using algebric symbols. <br> ten less than a number?<br><br> I need help
    15·1 answer
  • I need it quick!!!!!What is 9 plus 3 5/6
    8·1 answer
  • Please answer there is a picture
    7·1 answer
  • Solve for s.<br><br> 9s = –10 + 10s<br><br> s = __
    9·1 answer
  • 1.
    13·1 answer
  • PLEASE HELP ME. ILL OFFER MANY POINTS
    15·1 answer
  • Solve for x: √x + 3-4=7
    10·1 answer
  • Can you please help me with this?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!