Studies on a machine that molds plastic water pipe indicate that when it is injecting 1-inch diameter pipe, the process standard
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Number of boxes price per box according to price schedule is 3.18 orders.
Given
Annual demand D = 15875 boxes per year
Carrying cost H = 0.79 cents
Ordering cost S = $97
Optimal order quantity Q
Q=
Q = 1974 units
But at Q = 1974 units we are getting less discount. So, we calculate total cost at Q = 19, Q = 2000, Q = 5000, Q = 10000
Total cost = Purchase cost + Annual Holding cost + Annual ordering cost = PD + (Q/2)H + (D/Q)S
The total cost is less at optimal order quantity Q = 5000
a) Optimal order quantity = 5000 boxes
b) Number of orders = (D/Q) = 15875/5000 = 3.18
Number of orders = 3.18 orders
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