Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One yard length of type A cloth requires 4 oz of red wool, 5 oz of green wool and 3 oz of yellow wool. One yard length of type B cloth requires 5 oz of red wool, 2 oz of green wool and 8 oz of yellow wool. The wool available for manufacture is 1000 oz of red wool, 1000 oz of green wool and 1200 oz of yellow wool. The manufacturer can make a profit of Rs. 5 on one yard of type A cloth and Rs. 3 on one yard of type B cloth. Find the best combination of the quantities of type A and type B cloth which gives him maximum profit by solving the L.P.P. graphically.
Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One yard length of type A cloth requires 4 oz of red wool, 5 oz of green wool and 3 oz of yellow wool. One yard length of type B cloth requires 5 oz of red wool, 2 oz of green wool and 8 oz of yellow wool. The wool available for manufacture is 1000 oz of red wool, 1000 oz of green wool and 1200 oz of yellow wool. The manufacturer can make a profit of Rs. 5 on one yard of type A cloth and Rs. 3 on one yard of type B cloth. Find the best combination of the quantities of type A and type B cloth which gives him maximum profit by solving the L.P.P. graphically.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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Transcribed Image Text:Example 12.6. A company manufactures two types of cloth, using three different colours
of wool. One yard length of type A cloth requires 4 oz of red wool, 5 oz of green wool and 3 oz
of yellow wool. One yard length of type B cloth requires 5 oz of red wool, 2 oz of green wool and
8 oz of yellow wool. The wool available for manufacture is 1000 oz of red wool, 1000 oz of
green wool and 1200 oz of yellow wool. The manufacturer can make a profit of Rs. 5 on one
yard of type A cloth and Rs. 3 on one yard of type B cloth. Find the best combination of the
quantities of type A and type B cloth which gives him maximum profit by solving the L.P.P.
graphically.
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