Bryson Carpet Mills produces a variety of different carpets. Changing from produ
ID: 449792 • Letter: B
Question
Bryson Carpet Mills produces a variety of different carpets. Changing from production of one carpet to another involves a setup cost of $3,200. Annual demand for this style is 186,000 yards. Bryson Carpet Mills produces carpet 300 days per year. The production process is most efficient when 8,200 yards per day are produced at a cost of $6.50 per yard. Inventory carrying cost is estimated at 20 percent annually.
What should be the production order quantity? (Round up your answer to the next whole number.)
Production order quantity ________ yards
Explanation / Answer
Annual Demand - D = 186000
Set up Cost = Co = 3200
Holding Cost - H = 0.2
Cost per yard - C = 6.5
d = (186000 / 300) = 620
p = 8200
POQ = Sqrt((2 * D * Co)/(H * C)) * Sqrt(( p / (p – d))
POQ = Sqrt ( 2*186000*3200)/(0.2*6.5)) * Sqrt((8200/(8200 – 620))
POQ = 31473.65 = 31474 yards
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