Please give me right answers.. Thank you Good View is a manufacturer of monitors
ID: 353884 • Letter: P
Question
Please give me right answers.. Thank you
Good View is a manufacturer of monitors for personal computers.Good View’s newest monitor is X-435 model. The company expects sales of this model to run at the rate of 9,000 per year for a while. The facilities for producing this model are shared with several other models. While these production facilities are devoted to the X-435 model, the production rate is 2,000 monitors per month. The cost each time the facilities are set up for production run for this model is $7,500. The annual cost of holding each of these monitors in inventory is estimated to be $120.
(a) Determine the economic production lot size.
(b) Find the corresponding annual setup cost, annual holding cost and total variable inventory cost per year.
(c) How long each production run last and how frequently should they occur? (Give your answer in month).
(d) What is the maximum inventory level? Why is this less than the production lot size?
Explanation / Answer
Annual demand rate, D = 9000
Annual production rate, P = 2000*12 = 24000
Setup cost, S = 7500
Holding cost, H = 120
(a) Economic Production lot size = SQRT(2*DS/(H*(1-D/P)))
= SQRT(2*9000*7500/(120*(1-9000/24000)))
= 1342
(b) Annual setup cost = (D/Q)*S = (9000/1342)*7500 = $ 50,298
Annual holding cost = (Q/2)*H*(1-D/P) = (1342/2)*120*(1-9000/24000) = $ 50.325
Total variable inventory cost per year = 50298+50325 = $ 100,623
(c) Production run time = Q/P = (1342/2000) = 0.67 month
Frequency of order = Q/D = (1342/9000)*12 = 1.79 months (they should order every 1.79 months)
(d) Maximum inventory level = Q*(1-D/P) = 1342*(1-9000/24000) = 839
This is less than the production lot size, because the entire lot size is not being delivered at a single point of time, but it is being produced at a steady rate (P), during which inventory depletion is also happening at a steady demand rate (D). Therefore, maximum inventory never reaches the level of production lot size.