37. A civil engineer has two warehouses H₁ and H₂ containing 900 and 600 tons of bricks respectively. He is constructing houses at three sites P, Q and R. For this construction, he needs 500 ton of bricks at site P, 600 tons of bricks at site Q and 400 tons of bricks at site R. The transport costs (in American dollars) per ton of bricks from the warehouses H₁ and H₂ to each of the three sites P, Q and R are given in the table below P Q R Н1 600 300 400 H₂ 400 200 600 (a) How many tons of bricks should he send from each of the warehouses to each of the three construction sites in order to minimize cost? (b) What is the overall minimum cost?
37. A civil engineer has two warehouses H₁ and H₂ containing 900 and 600 tons of bricks respectively. He is constructing houses at three sites P, Q and R. For this construction, he needs 500 ton of bricks at site P, 600 tons of bricks at site Q and 400 tons of bricks at site R. The transport costs (in American dollars) per ton of bricks from the warehouses H₁ and H₂ to each of the three sites P, Q and R are given in the table below P Q R Н1 600 300 400 H₂ 400 200 600 (a) How many tons of bricks should he send from each of the warehouses to each of the three construction sites in order to minimize cost? (b) What is the overall minimum cost?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:37. A civil engineer has two warehouses H₁ and H₂ containing 900 and 600 tons of bricks respectively.
He is constructing houses at three sites P, Q and R. For this construction, he needs 500 ton of
bricks at site P, 600 tons of bricks at site Q and 400 tons of bricks at site R. The transport costs
(in American dollars) per ton of bricks from the warehouses H₁ and H₂ to each of the three sites P,
Q and R are given in the table below
P
Q R
300 400
H₂ 400 200 600
H₁ 600
(a) How many tons of bricks should he send from each of the warehouses to each of the three
construction sites in order to minimize cost?
(b) What is the overall minimum cost?
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