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 40SD -0.25 Sp² Greenville: QG=60SG-0.5 SG² where Qp and QG are the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively. Sp and SG are the amounts of steel for the two plants. The firm has 110 units of steel available. How much steel should be sent to Detroit?

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 40SD -0.25 Sp² Greenville: QG=60SG-0.5 SG² where Qp and QG are the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively. Sp and SG are the amounts of steel for the two plants. The firm has 110 units of steel available. How much steel should be sent to Detroit?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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= 18SD – 0.25 SD2 Greenville: QG= 43SG – 0.5 SG2 where QD and QG are the outputs of engine parts (in units) from the Detroit and Greenville plants, respectively. SD and SG are the amounts of steel for the two plants. The firm has 104 units of steel available.How much steel should be sent to Detroit?Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.
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