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## Homework Statement

Mike make shirts. He has fixed daily costs of $150. It costs an additional $3 to make each shirt. He would like to make a profit of $750 a day making shirts.

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**If he can make 24 shirts a day, how much must he charge to meet his goal? Find break even point**## Homework Equations

c(x) = 3x + 150

p = r(x) - c(x)

## The Attempt at a Solution

1) p = r(x) - c(x)

p = r(x) - c(24)

750 = r(x) - 222

750 = 972 - 222

972 = r(24)

r = 40.5

r(x) = 40.5x

**He must charge $40.50.**2)40.5x = 3x + 150

37.5x = 150

x = 4

Break even point is $4Break even point is $4

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