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A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store 1 and $9 to store 2. The transportation costs from warehouse 2 is $24 to store 1 and $15 to store 2. Warehouse 1 has a capacity of 45 and warehouse 2 has a capacity of 40. Each store makes their order at the beginning of the period. Store 1 orders 25 units and store 2 orders 30 units. The firm is trying to minimize their transportation costs. (i) (ii) (iii) Write down the Linear Programming Problem. Use the extreme point method to solve the LP. Determine the solution to the system of equations.

A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store 1 and $9 to store 2. The transportation costs from warehouse 2 is $24 to store 1 and $15 to store 2. Warehouse 1 has a capacity of 45 and warehouse 2 has a capacity of 40. Each store makes their order at the beginning of the period. Store 1 orders 25 units and store 2 orders 30 units. The firm is trying to minimize their transportation costs. (i) (ii) (iii) Write down the Linear Programming Problem. Use the extreme point method to solve the LP. Determine the solution to the system of equations.

Advanced Engineering Mathematics
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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A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store 1 and $9 to store 2. The transportation costs from warehouse 2 is $24 to store 1 and $15 to store 2. Warehouse 1 has a capacity of 45 and warehouse 2 has a capacity of 40. Each store makes their order at the beginning of the period. Store 1 orders 25 units and store 2 orders 30 units. The firm is trying to minimize their transportation costs. (i) Write down the Linear Programming Problem. (ii) Use the extreme point method to solve the LP. (iii) Determine the solution to the system of equations.
Transcribed Image Text:A firm has two stores and two warehouses. The transportation costs from warehouse 1 is $18 to store 1 and $9 to store 2. The transportation costs from warehouse 2 is $24 to store 1 and $15 to store 2. Warehouse 1 has a capacity of 45 and warehouse 2 has a capacity of 40. Each store makes their order at the beginning of the period. Store 1 orders 25 units and store 2 orders 30 units. The firm is trying to minimize their transportation costs. (i) Write down the Linear Programming Problem. (ii) Use the extreme point method to solve the LP. (iii) Determine the solution to the system of equations.
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