Assume there are 2 factories, (KEBD Factory and LABD Factory), and 3 warehouses. KEBD Factory makes 50 widgets. LABD Factory makes 60 widgets. Warehouse A stores 25 widgets. Warehouse B stores 55 widgets. Warehouse C stores 40 widgets. It costs $90 to ship one widget from KEBD Factory to warehouse A, $85 to ship one widget from KEBD Factory to warehouse B, and $70 to ship one widget from KEBD Factory to warehouse C. It costs $75 per widget to ship from LABD Factory to warehouse A, $80 per widget to ship from LABD Factory to warehouse B, and $85 per widget to ship from LABD to warehouse C.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Set up the linear programming problem to find the shipping pattern which
minimizes the total cost.
Find a feasible (but not necessarily optimal) solution to the problem of
finding a shipping pattern using the Northwest Corner Algorithm.
• Use the Least-Cost Method to find a feasible solution to the shipping
problem.
Transcribed Image Text:Set up the linear programming problem to find the shipping pattern which minimizes the total cost. Find a feasible (but not necessarily optimal) solution to the problem of finding a shipping pattern using the Northwest Corner Algorithm. • Use the Least-Cost Method to find a feasible solution to the shipping problem.
Assume there are 2 factories, (KEBD Factory and LABD Factory), and 3
warehouses. KEBD Factory makes 50 widgets. LABD Factory makes 60 widgets.
Warehouse A stores 25 widgets. Warehouse B stores 55 widgets. Warehouse C
stores 40 widgets. It costs $90 to ship one widget from KEBD Factory to warehouse
A, $85 to ship one widget from KEBD Factory to warehouse B, and $70 to ship
one widget from KEBD Factory to warehouse C. It costs $75 per widget to ship
from LABD Factory to warehouse A, $80 per widget to ship from LABD Factory to
warehouse B, and $85 per widget to ship from LABD to warehouse C.
Transcribed Image Text:Assume there are 2 factories, (KEBD Factory and LABD Factory), and 3 warehouses. KEBD Factory makes 50 widgets. LABD Factory makes 60 widgets. Warehouse A stores 25 widgets. Warehouse B stores 55 widgets. Warehouse C stores 40 widgets. It costs $90 to ship one widget from KEBD Factory to warehouse A, $85 to ship one widget from KEBD Factory to warehouse B, and $70 to ship one widget from KEBD Factory to warehouse C. It costs $75 per widget to ship from LABD Factory to warehouse A, $80 per widget to ship from LABD Factory to warehouse B, and $85 per widget to ship from LABD to warehouse C.
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