The Return of Detroit City: Enpar manufactures engine parts for Ford using steel as an input. Enpar operates two plants

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The Return of Detroit City: Enpar manufactures engine parts for Ford using steel as an input. Enpar operates two plants

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The Return of Detroit City: Enpar manufacturesengine parts for Ford using steel as an input. Enpar operatestwo plants, one in Detroit, MI and one in Greenville, SC. Theproduction functions for the two Enpar plants are:Detroit:
QD= 11SD – 0.25SD2
Greenville:
QG= 41SG – 0.5SG2
where QD and QG are the outputsof engine parts (in units) from the Detroit and Greenville plants,respectively. SD and SG arethe amounts of steel for the two plants. The firm has 95units of steel available.How much steel should be sent to Detroit?
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