question_answer

A factory produces two products A and B. In the manufacturing of product A, the machine and the carpenter requires 3 hour each and in manufacturing of product B, the machine and carpenter requires 5 hour and 3 hour respectively. The machine and carpenter work at most 80 hour and 50 hour per week respectively. The profit on A and B is Rs. 6 and 8 respectively. If profit is maximum by manufacturing x and y units of A and B type product respectively, then for the function \[6x+8y\] the constraints are   

A)                 \[x\ge 0,\ y\ge 0,\ 5x+3y\le 80,\ 3x+2y\le 50\]

B)                 \[x\ge 0,\ y\ge 0,\ 3x+5y\le 80,\ 3x+3y\le 50\]

C)                 \[x\ge 0,\ y\ge 0,\ 3x+5y\ge 80,\ 2x+3y\ge 50\]

D)                 \[x\ge 0,\ y\ge 0,\ 5x+3y\ge 80,\ 3x+2y\ge 50\]