Sharpening your pencil is an operation that may be divided into eight small elem
ID: 377253 • Letter: S
Question
Sharpening your pencil is an operation that may be divided into eight small elemental motions. In MTM terms, each element may be assigned a certain number of TMUs: Reach 4 inches for the pencil Grasp the pencil Move the pencil 6 inches Position the pencil Insert the pencil into the sharpener Sharpen the pencil Disengage the pencil Move the pencil 6 inches 4 TMU 2 TMU 8 TMU 20 TMU 5 TMU 120 TMU 10 TMU 12 TMU The total normal time in minutes for sharpening the pencilminutes (round your response to four decimal places).Explanation / Answer
Sam’s optimal order quantity EOQ = Square root ( 2 x Co x D/ Ch )
Where ,Total time ta
D = Annual demand = 95 bags / week x 52 weeks = 4940 bags
Co = Ordering cost = $57 / order
Ch = Annual unit holding cost = 28% of $ 12 / bag= $ 3.36 / bag
EOQ = Square root ( 2 x 57 x 4940 / 3.36)
= 409.39 ( 409 rounded to nearest whole number )
SAM’S OPTIMAL ORDER QUANTITY = 409 BAGS
1 hour = 100,000 TMU
Total time taken by 8 elements of pencil sharpening operation = 4 + 2 + 8 + 20 + 5 + 120 + 10 + 12 = 181 TMU
181 TMU = 181/100,000 hour = 181 x 60/100,000 minutes = 0.1086 minutes
TOTAL NORMAL TIME IN MINUTES FOR SHARPENING THE PENCIL = 0.1086 MINUTES
SAM’S OPTIMAL ORDER QUANTITY = 409 BAGS
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