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A manufacturer of men’s shirts determines that her costs will be 500 dollars for overhead plus...

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Basic Math

  1. A manufacturer of men’s shirts determines that her costs willbe 500 dollars for overhead plus 9 dollars for each shirt made. Heraccountant has estimated that her selling price s(x)should be determined bysx=30-0.2x where x isthe number of shirts sold. Thus, the revenue function is theselling price of shirts times the number of shirts sold, i.e.Rx=x(30-0.2x) wherex is the number of shirts
  2. Give the formula for the profit function where x isthe number of shirts.

b. How many shirts should beproduced to maximize profit?

c. At what price will the shirtsbe sold to maximize profit?

d. What is her resulting profit?

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