A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant il 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 $50 per engine to ship to plant II. Plant loves the manufacturing company 820 in rebates toward is products for each engine they buy, while plant Il gives similar S15 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 __?