A large wood products company is negotiating a contract to sell plywood overseas. The fixed cost of the company which can be allocated to the production of the plywood is one million three hundred thousand dollars per month. The variable cost per thousand board feet is $101.50. Price charged will be determined by p equals 900 minus (0.04 )Upper D per 1000 board feet. a. For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. b. What is the range of profitable demand during a month?