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A firm is engaged in breeding pigs. The pigs are fed on various products grown on the firm. They need certain nutrinets, named as X,Y,Z. The pigs are fed on two products, A and B One unit of product B contains 6 units of X, 12 units of Y and 10 units of Z, while one unit of product B contains 6 units of X, 12 units of Y and 10 units of Z. The minimum requirements of X,Y,Z are 108 units, 36 unis and 100 units respectively. Product A costs Rs.20 per unit and product B costs Rs.40 per unit. How many units of each peofuct must be taken to minimize the cost? Also, find the minimum cost.

Answer»


SOLUTION :Let x UNITS of A and y units of B be taken. Then, minimize `C=20x+40y,` SUBJECT to
`x GE0,yge0,36+6yge108,3x+12yge36,20x+10yge100.`


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