• # 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)                 $x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\le 75$

Linear constraints are $2x+3y\le 70,\,3x+2y\le 75$.