Question
Introduction to linear programming
(b) The Miers Company produces small engines for several manufacturers. The company receives orders from two assembly plants for their Top-flight en- gine. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 120 engines to these two assembly plants. It costs S 30 per engine to ship to plant I, and S 40 per engine to ship to 7 plant II. Plant I give Miers $ 20 in rebates toward its products for each engine they buy, while Plant II gives similar $ 15 rebates. Miers estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to
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