To fill an order for 100 units of its product, a firm wishes to distribute production between its two plants, plant 1 and plant 2. The total-cost function is given by c= f (91.92) = 0.19 +9q₁ + 17q2 + 1000 where 9₁ and 92 are the numbers of units produced at plants 1 and 2, respectively. How should the output be distributed in order to minimize costs? (You may assume that the critical point obtained does correspond to the minimum cost.) To minimize costs, the firm should produce units at plant 1 and units at plant 2. …...

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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To fill an order for 100 units of its product, a firm wishes to distribute production between its two plants, plant 1 and plant 2. The total-cost function is given by
c= f (9₁₁92) = 0.19² +9q₁ + 1792 + 1000
where 9₁ and 92 are the numbers of units produced at plants 1 and 2, respectively. How should the output be distributed in order to minimize costs? (You may assume that the critical
point obtained does correspond to the minimum cost.)
To minimize costs, the firm should produce units at plant 1 and
units at plant 2.
Transcribed Image Text:To fill an order for 100 units of its product, a firm wishes to distribute production between its two plants, plant 1 and plant 2. The total-cost function is given by c= f (9₁₁92) = 0.19² +9q₁ + 1792 + 1000 where 9₁ and 92 are the numbers of units produced at plants 1 and 2, respectively. How should the output be distributed in order to minimize costs? (You may assume that the critical point obtained does correspond to the minimum cost.) To minimize costs, the firm should produce units at plant 1 and units at plant 2.
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