A painting process for Philadelphia Eagles figurines includes 4 painters. Each p

Question

A painting process for Philadelphia Eagles figurines includes 4 painters. Each painter paint a complete figurine and can paint 10 figurines per hour. During each typical four-hour period of time (assume painters work all four hours), 120 figurines are painted.

a. Calculate the utilization of the painters. Show all work.

b. After winning the Super Bowl, the demand for Eagles figurines increases to 500 per four-hour period of time. How many painters are needed to achieve a 90% resource utilization? Show all work.

Explanation / Answer

Number of figures a painter can paint in an hour = 10

Number of figures a painter can paint in 4 hours = 10*4 = 40

Number of figures 4 painters can paint in 4hours = 40*4 = 160

Figures actually painted = 120

a) Utlization = 120/160 = 0.75 ==> 75%

b) Number of figures needed = 500

For a 90% utilization,

Number of figures needed/ Number of figures can be made = 0.9

Number of figures that can be made = 500/0.9 = 555.556 ==> 556(rounding off)

Number of painters needed = 556/40 = 13.9 = 14 painters

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