Which statement is true?

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

Serjik [45]

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:

Material 1

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

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

Material 2

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

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

Material 3

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

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

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

6 0

2 years ago

Whitney contributes 13% of her $70,600 annual salary to her 401(k) plan.

Licemer1 [7]

Answer: 

option (B) $61,422

Explanation:

Given the annual salary is $70,600

Percent of Contribution made from the income = 13%

Pretax Salary/Income is calculated by the formula, Salary – 13% of salary

Pretax income =

$70600 - \frac{13}{100} \times 70600$

= 70600 – 9178 = 61422

Therefore whitney’s pretax income is $ 61422

Hence, option (B) is correct

6 0

3 years ago

Read 2 more answers

1. What is the value of f(3) and what does it represent in the context of this example?

Marysya12 [62]

Answer/step-by-step explanation:

The graph of f(x) above is said to be the quantity of liquid a cylinder holds when poured into it at a given time, x.

This means the quantity of the liquid poured in the cylinder is a function of time.

f(x) values (quantity of liquid) are plotted on the y-axis, while x values (time) are plotted on the x-axis.

f(3) is the value at the y-axis when x = 3. Thus, when x = 3, y = 6.

Therefore, the value of f(3) = 6

f(3) = 6, represents the quantity of liquid poured in the cylinder at 3 seconds.

3 0

3 years ago

What is the probability that X is between 12 and 60?

klemol [59]

X will be between 21 and 24

5 0

3 years ago

Find the sine, cosine and tangent of A. Reduce all fractions and radicals.

astra-53 [7]

Sine=opposite/hypotenuse

Cosine=adjacent/hypotenuse

Tangent=opposite/adjacent

sinA=16/20=4/5

cosA=12/20=3/5

tanA=16/12=4/3

7 0

3 years ago