SOLUTION: You are starting a T-shirt business. Your fixed costs are $5,000. It costs $11 to buy each shirt. you plan to sell the shirts for $16. Write the total cost function, revenue funct

Question 156478: You are starting a T-shirt business. Your fixed costs are $5,000. It costs $11 to buy each shirt. you plan to sell the shirts for $16. Write the total cost function, revenue function, profit function. Find the break even point.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You are going to sell shirts.

It costs you $5000 plus $11 for each shirt, so the cost function is:

You are going to sell each shirt for $16, so the revenue function is:

The profit is the difference between the revenue and the cost, so:

or

You break even when your profit is zero, that is , so:

Hence, you break even when you sell shirts.
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