Study the information below and answer questions based on it.
Machine `M_(1)` as well as Machine `M_(2)` can independently produce either Product P or Product Q. The time taken by machines `M_(1) and M_(2)` (in minutes) to produce one unit of product P and Q are given in the table below : (Each machine works 8 hours per day).
`{:("Product",M_(1),M_(2)),(P,10,8),(Q,6,6):}`
What is the maximum number of units that can be manufactured in one day ?

Options

A. 140
B. 160
C. 120
D. 180

Answer

B

Explanation

According to the given information:
Time taken by each machine in a day = 8 hours `= 8 xx 60` minutes = 480 minutes
So, Total time taken `= 480 xx 2 = 960` minutes
[`because` Both machines `M_(1) and M_(2)` can independently produce either product P or product Q]
Therefore, the maximum number of units that can be manufactured in one day `= (960)/(6) = 160`
[Note : For maximum units we produce only Q]