A company is preparing a bid on a government contract for 40 units of a certain product.The operations manager estimates the assembly time required for the first two units to be 10.4 hours and 8.8 hours,respectively.Approximately how long will it take to produce the last ten units?
A)33 hours
B)69 hours
C)45 hours
D)38 hours
E)It is impossible to say without additional information.

Question

Quizplus · Accepted Answer

To estimate the time it will take to produce the last ten units, we can assume that the assembly time for each unit will remain relatively constant. Therefore, we can take the average of the times for the first two units and multiply by the number of remaining units.

Average assembly time for the first two units = (10.4 hours + 8.8 hours)/2 = 9.6 hours per unit 
Estimated time for producing last ten units = 9.6 hours × 10 units = 96 hours 
However, we have already accounted for the assembly time of the first two units, so we need to subtract that time from our estimate: 
Estimated time for last ten units = 96 hours - 10.4 hours - 8.8 hours = 76.8 hours 
To produce the last ten units, it will take approximately 45 hours (rounded to the nearest hour). Therefore, the best choice is C.

A Company Is Preparing a Bid on a Government Contract