The Return of Detroit City:Enpar manufactures engine parts for Ford using steel as an input.Enpar operates two plants, one in Detroit, MI and one in Greenville, SC.The production functions for the two Enpar plants are:

Detroit:

QD= 16SD- 0.25 SD2

Greenville:

QG= 51SG- 0.5 SG2

where QDand QGare the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively.SDand SGare the amounts of steel for the two plants.The firm has 89 units of steel available.

How much steel should be sent to Detroit?

Enter as a value.ROUND TO THE NEAREST WHOLE NUMBER.