Two different kinds of foods A and B are being considered to form a weekly diet. The minimum weekly requirment of fats, carbohydrates and proteins are 17,28 and 14 units respectively. One kg of food A has 5 units of fat, 12 units of carbohydrates and 7 units of protein. One kg of food B has 7 units of fat, 15 units of carbohydrates and 9 units of protein. The price of food A is Rs. 5 per kg. and that of food B is Rs. 7 per kg. Form the LPP to minimize the cost.

Options

A. Minimize `z=5x+7y` subject to `5x+7yle17,12x+15yge28,7x+9yge14,xge0,yge0`
B. Minimize `z=5x+7y` subject to `5x+7yge17,12x+15yle28,7x+9yge14,xge0,yge0`
C. Minimize `z=5x+7y` subject to `5x+7yge17,12x+15yge28,7x+9yle14,xge0,yge0`
D. Minimize `z=5x+7y` subject to `5x+7yge17,12x+15yge28,7x+9yge14,xge0,yge0`

Answer

D