Net profit: Suppose you pay R dollars per month to rent space for the production of dolls. You pay c dollars in material and labor to make each doll, which you then sell for d dollars.
a. If you produce n dolls per month, use a formula to express your net profit p per month as a function of R, c, d, and n. (Suggestion: First make a formula using the words rent, cost of a doll, selling price, and number of dolls. Then replace the words by appropriate letters.)
b. What is your net profit per month if the rent is $1280 per month, it costs $2 to make each doll, which you sell for $6.85, and you produce 826 dolls per month?
c. Solve the equation you got in part a for d. d. Your accountant tells you that you need to make a net profit of $4000 per month. Your rent is $1200 per month, it costs $2 to make each doll, and your production line can make only 700 of them in a month. Under these conditions, what price do you need to charge for each doll?