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anygoal [31]
4 years ago
15

The manufacturing shop is producing custom photo imprinted mouse pads for clients. The startup equipment cost $400. A mouse pad

has a production cost of $3. The retail sale is $12.
1). Write a cost function
2). Write a revenue function
3). Give the break-even point
Please help me answer all 3 questions, thanks!
Business
1 answer:
Grace [21]4 years ago
8 0

Answer:

c(x) =400 + 3x

r(x) = 12x

x = 44.44

Explanation:

Given

<u>Cost</u>

Equipment = 400

Production = 3 per mouse pad

Revenue

Sales\ Price = 12

Solving (a): The cost function

Let the number of mouse pad be x and the cost function be c(x).

c(x) =Equipment + Production * x

c(x) =400 + 3 * x

c(x) =400 + 3x

Solving (b): The revenue function

Represent this with r(x)

r(x)= Sales\ Price * x

r(x)= 12 * x

r(x)= 12 x

Solving (c): The break-even point

This is the point where r(x) = c(x)

So, we have:

12x = 400 + 3x

Collect Like Terms

-3x+12x = 400

9x = 400

Solve for x

x = \frac{400}{9}

x = 44.44

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