Annual demand, D = 25000 units
Daily demand, d = 25000/250 = 100 units
Setup cost, S = $ 1000
Holding cost, H = 500*20% = $ 100
(a) Economic purchase quantity = sqrt(2DS/H)
= sqrt(2*25000*1000/100)
= 707 units
(b) Time between orders = Q/d
= 707/100
= 7.07 days
(c) Number of orders per year = D/Q
= 25000/707
= 35.4 orders
(d) Optimum shortages = 0 (it is given in the question that shortages are now allowed)
(e) Maximum inventory = Q = 707 units
(f) The time of items being held = time between orders / 2 = 7.07/2 = 3.54 days
(g) The optimum annual cost = Carrying cost + Ordering cost
= H*Q/2+S*D/Q
= 100*707/2+1000*25000/707
= $ 70710.68
Us Page 5 of 6 Question 5 (10 marks) Western Technology (WT) assembles PC's for the Australian 25...
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