question_answer

A firm produces two types of products A and B. The profit on both is Rs. 2 per item. Every product requires processing on machines \[{{M}_{1}}\] and \[{{M}_{2}}\]. For A, machines \[{{M}_{1}}\] and \[{{M}_{2}}\] takes 1 minute and 2 minute respectively and for B, machines \[{{M}_{1}}\] and \[{{M}_{2}}\] takes the time 1 minute each. The machines \[{{M}_{1}},\ {{M}_{2}}\] are not available more than 8 hours and 10 hours, any of day, respectively. If the products made x of A and y of B, then the linear constraints for the L.P.P. except \[x\ge 0,\ y\ge 0\], are    

A)                 \[x+y\le 480\,,\ 2x+y\le 600\]

B)                 \[x+y\le 8,\ 2x+y\le 10\]

C)                 \[x+y\ge 480\,,\ 2x+y\ge 600\]

D)                 \[x+y\le 8,\ 2x+y\ge 10\]