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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 21E
Related questions
Question
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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