A large wood products company is negotiating a contact to sell plywood overseas. The fixed cost that can be allocated to the production of the plywood is $800,000 per month. The variable cost per thousand board feet is $155.50. The price charged will be determined by p=$600 - (0.5)D per 1,000 board feet.
A) For this situation, determine the optimal montly sales volume for this product and calculate the profit (or loss) at that optimal volume.
B) What is the domain of profitable demand during a month?