A manufacturing company receives orders for engines from twoassembly plants. Plant I needs at least 45 ​engines, and plant IIneeds at least 32 engines. The company can send at most 140enginesto these assembly plants. It costs $30 per engine to ship to plantI and $40 per engine to ship to plant II. Plant I gives themanufacturing company $20 in rebates toward its products for eachengine they​ buy, while plant II gives similar ​$10 rebates. Themanufacturer estimates that they need at least $1500 in rebates tocover products they plan to buy from the two plants. How manyengines should be shipped to each plant to minimize shipping​costs? What is the minimum​ cost?
