The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the function Q = 900L K³. Labor costs $100 per unit and capital costs $50 per unit. What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum cost? Round your answers to two decimal places. L = i K = i The minimum cost is i dollars.
The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the function Q = 900L K³. Labor costs $100 per unit and capital costs $50 per unit. What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum cost? Round your answers to two decimal places. L = i K = i The minimum cost is i dollars.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
Related questions
Question
![The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the
function
Q = 900L K³.
Labor costs $100 per unit and capital costs $50 per unit.
What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum
cost?
Round your answers to two decimal places.
L = i
K=
=
i
The minimum cost is i
dollars.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd0201f3-b1ec-4954-8ef8-ed92d6c8ee6d%2F6a261234-ccd6-423a-b5fb-2e3272ad9f42%2Fbkhviim_processed.png&w=3840&q=75)
Transcribed Image Text:The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the
function
Q = 900L K³.
Labor costs $100 per unit and capital costs $50 per unit.
What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum
cost?
Round your answers to two decimal places.
L = i
K=
=
i
The minimum cost is i
dollars.
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