question_answer

A Firm makes pents and shirts. A shirt takes 2 hour on machine and 3 hour of man labour while a pent takes 3 hour on machine and 2 hour of man labour. In a week there are 70 hour machine and 75 hour of man labour available. If the firm determine to make x shirts and y pents per week, then for this the linear constraints are 

A) \[x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\ge 75\]

B) \[x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\ge 75\]

C) \[x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\le 75\]

D) \[x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\le 75\]