Q. 93.5( 2 Votes )
A man has ₹1500 to purchase rice and wheat. A bag of rice and a bag of wheat cost ₹180 and 120 respectively. He has storage capacity of 10 bags only. He earns a profit of ₹11 and ₹8 per bag of rice and wheat respectively. How many bags of each must he buy to make maximum profit?
Let the number of wheat and rice bags be x and y.
∴According to the question,
120x + 180y, x + y,x
Maximize Z = 8x + 11y
The feasible region determined by 120x + 180y, x + y,xis given by
The corner points of feasible region are A(0,8), B(0,0), C(10,0), D(5,5) .
The value of Z at corner point is
The maximum value of Z is 95 at point (5,5).
Hence, the man should 5 bags each of wheat and rice to earn maximum profit.
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