(A Production Level Problem) DaniD Boots Co. is a boot making company that produces two types of boots: their basic boot (BB) and their fancy boot (FB). The number of man hours needed to produce each pair of boots, as well as the maximum daily demand for the boots, and the profit on each pair of boots are given in the following table. Time Max Demand Profit/pair (man hours) BB t 75 30 FB 3t 90 60 Note that t is unspecified here; the first column in the table merely says that each pair of fancy boots takes three times as much man-hour to produce as each pair of basic boot. It is known that if only basic boots are produced, then DaniD Boots Co. can use up all available time to produce 150 pairs per day. (a) Formulate an integer linear programming problem to determine how many of each type of boots DaniD Boots Co. should produce so as to maximize its profit. (b) Try to solve the production level problem" that you have formulated in (a) using any methods that you know (c) Briefly indicate what a practical real-world instance of this production level problem may look like