.) 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 Rs 3, of B Rs 5 and of C Rs 4. Formulate the LPP.
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solution:-
there is mistake in data
Step-by-step explanation:
A = 1R + 2G + 3Bl
B = 2R + 3G + 4Bl
C = 3R + 4G + 1Bl
Stock R = 14
G = 20
Bl = 14
Let say X unit of A & Y unit of B then 14-(X + Y) units of C
14R = XR + 2YR + (14 - X - Y)3R
=> 14 = X + 2Y + 42 - 3X - 3Y
=> 2X + Y = 28
G
20 = 2X + 3Y + 4(14 - X - Y)
=> 2X + Y = 36
28 ≠ 36
Hence there is mistake in data
Bl
14 = 3X + 4Y + (14 - X - Y)
=> 2X + 3Y = 0
Sum of two units produced can not be Zero
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