pplication problem A car company has two factories. Factory 1 has 400 cars in stock and Factory 2 has 300 cars in stock. Two customers order this car model. The first customer needs 200 cars, and the second customer needs 300 cars. The cost of shipping each car from the two factories to the two customers is as follows. Customer 1 Customer 2 Factory 1 $36 $30 Factory 2 $30 $25 (a) Let xij be the number of cars shipped from factory i to cutomer j. Formulate the linear programming problem. (b) Find the optimal solution that minimizes the cost. Your answer must include both the optimal values for the variables and the minimal cost.
pplication problem A car company has two factories. Factory 1 has 400 cars in stock and Factory 2 has 300 cars in stock. Two customers order this car model. The first customer needs 200 cars, and the second customer needs 300 cars. The cost of shipping each car from the two factories to the two customers is as follows. Customer 1 Customer 2 Factory 1 $36 $30 Factory 2 $30 $25 (a) Let xij be the number of cars shipped from factory i to cutomer j. Formulate the linear programming problem. (b) Find the optimal solution that minimizes the cost. Your answer must include both the optimal values for the variables and the minimal 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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Application problem
A car company has two factories. Factory 1 has 400 cars in stock and Factory 2 has 300 cars in stock. Two
customers order this car model. The first customer needs 200 cars, and the second customer needs 300 cars.
The cost of shipping each car from the two factories to the two customers is as follows.
Customer 1 Customer 2
Factory 1 $36 $30
Factory 2 $30 $25
(a) Let xij be the number of cars shipped from factory i to cutomer j. Formulate the linear
programming problem.
(b) Find the optimal solution that minimizes the cost. Your answer must include both the optimal
values for the variables and the minimal cost.
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