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grigory [225]
3 years ago
9

Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amou

nt of capital used (C) by the following function: S = 20 L0.30 C 0.70 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100.(a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost.b) Solve the optimization problem you formulated in part a.

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

THE AMOUNT OF LABOR TO BE USED  IS 2,244.28

THE AMOUNT OF CAPITAL TO BE USED IS 2,619.33

THE MINIMUM PRODUCTION COST IS $374,047

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION

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We are given :

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The function given inside square root is of quadratic form.

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Step 2:

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