A company manufactures microprocessors for computers whose cost function is given by C = 6X + 9, where X is the number of microprocessors. The selling price per unit is P = 30 - 3X and maximum output of the plant is 5000 units per month.
a. Determine the optimum demand for this product.
b. What is the maximum profit per month?
c. At what volume does breakeven occur?
d. What is the company's range of profitable demand?