Question

In: Operations Management

Gibson's Bodywork does automotive collision work. An insurance agency has determined that the standard time to...

Gibson's Bodywork does automotive collision work. An insurance agency has determined that the standard time to replace a fender is 0.16 hours​ (i.e., "standard ​output" equals 6.25 fenders per​hour) and is willing to pay Gibson ​$95per hour for labor​ (parts and supplies are billed​ separately). Gibson pays its workers ​$75 per hour. Suppose​ Gibson's workers take 7 hours to replace a fender.

a. ​Gibson's labor hour efficiency is _____​%. ​(Enter your response rounded to two decimal​ places.)

Given​ Gibson's labor​ costs, the company ______will /or will not make money on the job.

b. ​Gibson's labor hour efficiency has to be _____​% for Gibson to break even on the job. ​(Enter your response rounded to two decimal​ places.)

Solutions

Expert Solution

Answer A.
Gibson labor hour efficiency = (actual output/ standard output) *100
Where actual output of labor = 1/(Time to replace a single fender) = 1/7 = 0.143

And, standard output of labor = 1/ (Standard time to replace a fender) = 1/0.16 =6.25

Gibson labor hour efficiency = (actual output of labor) / (standard output of labor) = 0.143 / 6.25 = 2.29%

Answer b.

​Gibson's labor hour efficiency has to be _____​% for Gibson to break even on the job.

The insurance agency pays $95 per hour for a labor, therefore for 0.16 hours of work they pay 0.16 *$95 = $15.2 per labor-hour

Gibson pays to his workers $75 per hour for each labor for 7 hours work, therefore he pay total 7 *$75 = $525 per labor-hour

So Gibson is losing $525 - $15.2 = $509.8 per hour

At breakeven point, the labor cost for Gibson should be $15.2 and needs ($15.2/$75=) 0.2027 hours to replace a fender or actual output of labor = 1/0.2027 = 4.93 per hour

Gibson's labor hour efficiency has to be ((4.93/ 6.25) *100) =78.88% for Gibson to break-even on the job


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