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Us Page 5 of 6 Question 5 (10 marks) Western Technology (WT) assembles PCs for the Australian 250 days per year. The demand
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Answer #1

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

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