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7. The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF supplies hot dogs to local restaur
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Answer #1

Production rate, p = 5000 per day
Demand rate, d = 250 per day
Setup cost, K = $66
Unit carrying cost, h = $0.45 per annum

1.

Annual demand, D = d * 300 = 75000 units

The optimal run size, Qp = [2.D.K.p / (h.(p - d))]1/2 = SQRT(2*75000*66*5000/(0.45*(5000-250))) = 4,812 units

2.

The number of runs per year = D / Qp = 75000 / 4812 = 15.6 runs

3.

The length of a run = Qp / p = 4812 / 5000 = 0.96 days

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