Machine M1 and M2

(CAT 1995)

Machine M1 as well as machine M2 can independently produce either product P or product Q. The time taken by machines M1 and M2 (in minutes) to produce one unit of product P and product Q are given in the table below:
(Each machine works 8 hour per day).
Product                  M1                    M2
           P                 10                      8
           Q                6                        6

1. What is the maximum number of units that can be manufactured in one day?
a. 140
b. 160
c. 120
d. 180

2. If M1 works at half its normal efficiency, what is the maximum number of units produced, if at least one unit of each must be produced?
a. 96
b. 89
c. 100
d. 119

3. 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

4. If the number of units of P is to be three times that of Q, what is the maximum idle time to maximize total units manufactured?
a. 0 min
b. 24 min
c. 1 hr
d. 2 hr

5. If equal quantities of both are to be produced, then out of the four choices given below, the least efficient way would be
a. 48 of each with 3 min idle
b. 64 of each with 12 min idle
c. 53 of each with 10 min idle
d. 71 of each with 9 min idle

For Answers click here.