I have a question that has been bugging me for about a day now.
A manufacturing company receives orders for engines from two assembly plants. 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 assembly plants. It costs 35 per engine to ship to Plant I and 40 per engine to ship to plant II. Plant I gives the manufacturing company 20 in rebates towards its products for each engine they buy, while plant II gives similar 15 rebates. The manufacturer 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 minimize shipping costs? What is the minimum cost?
How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints
The number of engines to send to plant I is? The number of engines to send to plant II is? What is the minimum shipping cost?