10. You must solve one of the following word problems. You must verify [our answer with a rst or second derivative test, where applicable. 10 pts. a. A sporting goods store sells 140 pool tables a year. It costs $10 to store one pool table for 1 year. To reorder, there is a fixed cost of $28 per shipment, plus $18 for each pool tabled ordered. Assuming that half of an order of pool tables are in storage at any given time, find the number of orders the store should place each year to minimize the cost. How large should each order be? b. A poster is to have a total area of 240 712 with 1 inch margins at the bottom and sides, and a 2 in margin on top. Find the exact dimensions that will provide the largest printed area. c. The volume of a square based open top box is to be 256 cubic inches. Find the dimensions of the box with minimum surface area. d. Suppose the cost function for x units of a commodity is given by C(x) = 81000 + 200x + 6353/2 dollars. Suppose the average cost is given by A(x) = C(x)/x. Find the production level that will minimize the average cost, and find the minimum average cost. This is by no means the end of possibilities of the word problems