A factory manager wishes to buy two types of machines, a large and a small one. A small machine requires 4 operators and takes up 8 sq.m of space. A large machine requires 6 operators and takes up 16 sq.m of space. The factory has an additional 112 operators and 272 sq.m of space to spare. The profit on a small machine is $40 per day and that on large machine is $70 per day. Find:
a. the number of machines of each type he should buy in order to achieve maximum profit.
b. his maximum daily profit.
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Answer: Your answer is A.
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