A firm can produce 3 types of cloth say A, B and C. Three kinds of wool are required for it say red, green and blue. One unit length of type A cloth needs 2 metres of red wool and 3 metres of blue wool. One unit length of B type cloth needs 3 metres of red wool, 2 metres of green wool and 2 metres of blue wool; and 1 unit length of type C cloth needs 5 metres of green wool and 4 metres of blue wool. The firm has a stock of 8 metres of red wool, 10 metres of green wool and 15 metres of blue wool, it is assumed that the income obtained from one unit length of type A cloth is 3, of B 5 and of C` 4. Determine how the firm should use the available material so as to maximize the income from the finished cloth. Formulate the above problemas LPP.
A firm can produce 3 types of cloth say A, B and C. Three kinds of wool are required for it say red, green and blue. One unit length of type A cloth needs 2 metres of red wool and 3 metres of blue wool. One unit length of B type cloth needs 3 metres of red wool, 2 metres of green wool and 2 metres of blue wool; and 1 unit length of type C cloth needs 5 metres of green wool and 4 metres of blue wool. The firm has a stock of 8 metres of red wool, 10 metres of green wool and 15 metres of blue wool, it is assumed that the income obtained from one unit length of type A cloth is 3, of B 5 and of C` 4. Determine how the firm should use the available material so as to maximize the income from the finished cloth. Formulate the above problemas LPP.
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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Transcribed Image Text:A firm can produce 3 types of cloth say A, B and C. Three kinds of wool are
required for it say red, green and blue. One unit length of type A cloth needs 2
metres of red wool and 3 metres of blue wool. One unit length of B type cloth
needs 3 metres of red wool, 2 metres of green wool and 2 metres of blue wool;
and 1 unit length of type C cloth needs 5 metres of green wool and 4 metres of
blue wool. The firm has a stock of 8 metres of red wool, 10 metres of green wool
and 15 metres of blue wool, it is assumed that the income obtained from one unit
length of type A cloth is 3, of B'5 and of C 4. Determine how the firmshould
use the available material so as to maximize the income from the finished cloth.
Formulate the above problemas LPP.
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