conditions, site A must produce five times as many units as site B. The total cost of producing the units is given by the function C(x, y) = 0.5x²160x610y + 160000 where a represents the number of units produced at site A and y represents the number of units produced at site B. Round all answers to 2 decimal places. How many units should be produced at each site to minimize the cost? units at site A and What is the minimal cost? $ What's the value of the Lagrange multiplier? at site B

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manufacturer has two sites, A and B, at which it can produce a product, and because of certain
conditions, site A must produce five times as many units as site B. The total cost of producing the
units is given by the function
C(x, y) = 0.5x²160x610y + 160000
where a represents the number of units produced at site A and y represents the number of units
produced at site B. Round all answers to 2 decimal places.
How many units should be produced at each site to minimize the cost?
units at site A and
What is the minimal cost? $
What's the value of the Lagrange multiplier?
at site B
Transcribed Image Text:A manufacturer has two sites, A and B, at which it can produce a product, and because of certain conditions, site A must produce five times as many units as site B. The total cost of producing the units is given by the function C(x, y) = 0.5x²160x610y + 160000 where a represents the number of units produced at site A and y represents the number of units produced at site B. Round all answers to 2 decimal places. How many units should be produced at each site to minimize the cost? units at site A and What is the minimal cost? $ What's the value of the Lagrange multiplier? at site B
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