À firm manufactures a commodity at two different factories. The total cost of manufacturing depends on the quantities, q1 and q2, supplied by each factory, and is expressed by the joint cost functionf(q1,92) = 2q + q192 +q2 + 500. The company's objective is to produce 200 units, while minimizing production costs. Using Lagrange multiplier method, find how many units should be supplied by each factory? %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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estion: 10
A firm manufactures a commodity at two different factories. The total cost of manufacturing
depends on the quantities, q1 and q2, supplied by each factory, and is expressed by the joint
cost functionf(q1,92) = 2qi + q142 +q2 + 500. The company's objective is to produce 200
units, while minimizing production costs. Using Lagrange multiplier method, find how many
units should be supplied by each factory?
Transcribed Image Text:estion: 10 A firm manufactures a commodity at two different factories. The total cost of manufacturing depends on the quantities, q1 and q2, supplied by each factory, and is expressed by the joint cost functionf(q1,92) = 2qi + q142 +q2 + 500. The company's objective is to produce 200 units, while minimizing production costs. Using Lagrange multiplier method, find how many units should be supplied by each factory?
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