A manufacturing company receives orders for engines from two assembly plants. Plant needs at least 45 engines, and plant I needs at least 32 enginesThe company can send at 140 engines to these assembly plantsIt costs 535 per engine to ship to plant and 540 per engine to ship to plant Plant gives the manufacturing company in rebates toward its products for each engine they buy, while plant similar rebates The manufacturer estimates that they need at least in rebates to cover products they plan to buy from the two plants How many engines should be shipped to plant to minimize shipping costs? What is the minimum cost?