Ask question

Ask question

All categories

Salsk061 [2.6K]

3 years ago

14

A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write

the cost function. C(x) = 24,000 + 100x (Type an expression using x as the variable.) b. Write the revenue function. R(x) = 200x (Type an expression using x as the variable.) c. Determine the break-even point. (Type an ordered pair. Do not use commas in large numbers.)

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where

FC=Fixed cost = 24,000

pcost=costs to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.

So, FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

You might be interested in

Find all solutions of each equation on the interval 0 ≤ x < 2π.

Korvikt [17]

Answer:

$x = 0$ or $x = \pi$ .

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

$\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2$ .

To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .

$\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2$ .

$\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2$ .

Solve this equation for $u$ :

$\displaystyle \frac{u^{2} + 1}{u^{2}} = 2$ .

$u^{2} + 1 = 2 u^{2}$ .

$u^{2} = 1$ .

Given that $0 \le u \le 1$ , $u = 1$ is the only possible solution.

$\cos^{2}{x} = 1$ ,

$x = k \pi$ , where $k\in \mathbb{Z}$ (i.e., $k$ is an integer.)

Given that $0 \le x < 2\pi$ ,

$0 \le k$ .

$k = 0$ or $k = 1$ . Accordingly,

$x = 0$ or $x = \pi$ .

8 0

2 years ago

Read 2 more answers

I am working on a statistical test problem. I have been given salaries for 2017 and 2018 years for Los Angeles County, approxima

dalvyx [7]

Answer:

I DONT KNOW THAT

Step-by-step explanation:

7 0

2 years ago

There are 55 apples in each row. There are 5000 rows. How many apples in all?

koban [17]

Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

8 0

3 years ago

A songwriter gets paid monthly at a rate of $150 for each song he completes last month he wrote 8 songs and got halfway through

Alja [10]

150 * 8 = $1,200
150 / 2 = $75

$1,200 + $75 = 1275

3 0

3 years ago

Read 2 more answers

Please help i need to pass this quiz to pass the class :(

blagie [28]

Answer:

what's in the drop-down boxes

Step-by-step explanation:

5 0

2 years ago