There are 2 factories one located at P and the other at Q. From these locations a certain commodity is to be delivered to each of the 3 depots at A, B and C. The weekly requirements of the depots are 5,5 and 4 units respectively while the production capacities of the factories at P and Q are 8 and 6 units respectively. The cost of transportation per unit is given in the table below. From/ToA B P 160100 150 100120100 Let x units and y units of the commodity be transported from the factory at P to the depots at

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Write the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)

There are 2 factories one
located at P and the other at Q.
From these locations a certain
commodity is to be delivered to
each of the 3 depots at A, B and
C. The weekly requirements of
the depots are 5,5 and 4 units
respectively while the production
capacities of the factories at P
and Q are 8 and 6 units
respectively. The cost of
transportation per unit is given in
the table below.
From/ToA B C
160100150
Q
100120100
Let x units and y units of the
commodity be transported from
the factory at P to the depots at
A and B respectively.
Transcribed Image Text:There are 2 factories one located at P and the other at Q. From these locations a certain commodity is to be delivered to each of the 3 depots at A, B and C. The weekly requirements of the depots are 5,5 and 4 units respectively while the production capacities of the factories at P and Q are 8 and 6 units respectively. The cost of transportation per unit is given in the table below. From/ToA B C 160100150 Q 100120100 Let x units and y units of the commodity be transported from the factory at P to the depots at A and B respectively.
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