The construction company uses concrete blocks made up of cement and sand. The weight of a concrete block has to be at least 5kg. Cement costs Rs. 20 per kg. while sand costs Rs. 6 per kg. Strength consideration dictate that the concrete block should contain minimum 4 kg. of cement and not more than 2 kg. of sand. Form the LPP for the cost to be minimum.

Options

A. Maximize `z=20x+6y` subject to `x+yge5,xle4,yle2,xge0,yge0`
B. Maximize `z=20x+6y` subject to `x+yge5,xle4,yge2,xge0,yge0`
C. Maximize `z=20x+6y` subject to `x+yge5,xge4,yge2,xge0,yge0`
D. Maximize `z=20x+6y` subject to `x+yge5,xge4,yle2,xge0,yge0`

Answer

D