Q2)
Arrival rate, a = 25 customers per hour
Service rate, s = 30 customers per hour
Server cost, Cs = $ 15 per hour
Waiting cost, Cw = $ 12 per hour
Average number of customers waiting, Lq = a2/(s*(s-a) = 252/(30*(30-25) = 4.1667
Cost of server plus cost of waiting per hour = Cs + Lq*Cw = 15 + 4.1667*12 = $ 65
Q3) False
Producing in-house requires a fixed cost, where purchasing from external supplier does not require a fixed cost. Therefore, for lower volumes, it is cheaper to buy from external supplier than make in-house
Q6) EOQ = SQRT(2DS/H) = SQRT(2*1000*375/300) = 50
Total inventory costs per year = (D/Q)*S + (Q/2)*H = (1000/50)*375 + (50/2)*300 = $ 15,000
Q9) Average time a customer spend in entire system, W = 1/(s-a) = 1/(30-25) = 0.2 hour or 12 minutes
Q13) Optimal order quantity (EOQ) = SQRT(2*20000*25/0.25) = 2000
Q23) Number of customers in system, L = W*a = 0.2*25 = 5 customers
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I am looking to understand and see the solution to the question
2 for Chapter 16 - Case 1. Could you please help?
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