Question

What is the least number of machine hours required to produce 30 pieces of P and 25 pieces of Q respectively?

• A. 6 hr 30 min
• B. 7 hr 24 min
• C. 6 hr 48 min
• D. 4 hr 6 min

Answer 1

The correct option is A 6 hr 30 min

In order to take minimum machine hours, manufacture $Pon{M}_{2}andQon{M}_1$. Number of machine hours required to manufacture 30 units of P on $M_2=(30\times 8)=240$ min = 4 hr. Number of machine hours required to manufacture 25 units of Q on $M_1=(25\times 6)=150$ min = 2.5 hr. So total time taken = (4+2.5) = 6.5 hr or 6 hr 30 min.