Freddie and Jason have just opened the Texas Toothpick, a chain-saw sharpening a

Question

Freddie and Jason have just opened the Texas Toothpick, a chain-saw sharpening and repair service located on Elm Street. The Texas Toothpick promises same-week repair service. Freddie and Jason are concerned that a projected increase in demand as the end of October nears will cause service to deteriorate. Freddie and Jason have difficulty attracting employees, so they are the only workers available to complete the work. Safety concerns require that the each work no more than 40 hours per week. The first chain-saw sharpening and repair required 7 hours of work, and an 80 percent learning curve is anticipated. How many total hours are required to complete 64 chain saws? How many hours of work are required for the week ending on Friday the 13^th? Will Freddie and Jason be able to keep their same-week service promise during their busiest week just before Halloween?

Explanation / Answer

The first chain saw requires 7 hours including 80% of learning curve. This means 80% of the time spend on learning, and 20% is the time required the job.

This means actual time for the job is = 7 hours * 20% time = 1.4 hour per piece

For the remaining 63 chain saws , the required time = 63*1.4 = 88.2

The total time = 88.2 ( For the 63 ) +7 (for the first one) = 88.2+7 = 95.2

But one person can do a maximum of 40 hours jobs , So the number of person required = 95.2/40 =2.38 ,

2.38 Means , 3 persons

This again , makes calculation different.

Let's divide the 64 jobs equally among three

64/3 = 21.33

So, each person has to 21.33 or two persons with 21 pieces and one person with 22 pieces.

So, this will take

(1*7+20*1.4)*2+(1*7+21*1.4) = 70+36.4 = 106.4 hours

Question 2

On 13th We have to finish 27 Pieces,

The hours time required = 3*7 + (27-3)*1.4 = 21+ 24*1.4 = 21+33.6 = 54.6 hours

7 hours is the time required for the first chain saw (i.e 3*7)

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