A company uses a variable speed honing machine to increase the smoothness of the

Question

A company uses a variable speed honing machine to increase the smoothness of the inside walls of hydraulic jacks. The hone uses acid-dipped "brushes" to perform this operation. Increasing the speed of the machine results in faster operation, but reduces brush life. A single "brush" costs $90.00 and can be refurbished several times before its useful life is over. The number of refurbishings depends on the honing speed. Each refurbishing costs $40.00. Assume a refurbished brush can smooth the same amount as a new brush, and that when purchased a new brush is ready to use. The operating cost for the hone and operator is S60.00/hr Below is the data for operating the hone at 3 different speeds. The time required for changing brushes is incorporated into the honing rates below. Which honing speed is the most economical? HINT: find the cost per jack, not per hone or per cycle! # of Jacks polished until the brush needs refurbishing # of times refurbishing is possible Honing Speed (rpm) 180 240 300 Hone Rate (jacks/hr) 7 12 7 2 The cost per jack for the honing speed of 180 rpm is Sper jack. (Round to the nearest cent)

Explanation / Answer

Cost of Jack at honing speed of 180rpm is brush cost = $90.00 refurbishing cost = $40.00 No of refurbishings = 4 No of jacks that can clean = 11+4*11 = 55 Brush and refurbishing cost = 90+4*40 = 90+160 = 250

The Cost Per Jack for 180 RPM=250/60=$5

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