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 140 engines to these assembly plants It costs 30 per engine to ship to plant I and 50 per engine to ship to plant II Plant I gives the manufacturing company 20 in rebates toward 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 1000 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