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please solve Question 3 according to the book: Production and Operations Analysis. Steven Nahmias and Tava Lennon Oslen. 8th Ed. Waveland press. Follw the steps

please solve Question 3 according to the book: "Production and Operations Analysis. Steven Nahmias and Tava Lennon Oslen. 8th Ed. Waveland press. Follw the steps for the solved example in the screenshot

Question 3: Anticipated demands for a six-period planning horizon are 335, 200, 140, 440, 300, 200. The setup cost is $200 and the holding cost is h=$.30 per unit per period.

a) Solve the problem by dynamic programming.

b) Solve the problem using the Silver-Meal heuristic.

c) What are the costs of these two policies?

image text in transcribed

Let r=(52,87,23,56) and K=$75 and h=$1 per unit per perioc f5=0 f4=Min(c4,j+fj)=Min(c4,5+f5)=$75+0 If we release a workorder in period 4 , we would only have 4th period demand in the order and require 1 setup with no holding cost f3=Min(c3,j+fj)=Min(c34+f4c35+f5=Min(75+75(75+56)+0=Min(150131 =$131atj=5 If we release a workorder in period 3 and another one in period 4(c34), we have two setup costs and no holding cost. If we release a workorder in period 3 for periods 3 and 4 requirements, we have 1 setup and holding cost on the period 4 requirements Let r=(52,87,23,56) and K=$75 and h=$1 per unit per period Optimal path: 1-2-4 at a cost of $248 (order in periods 1, 2, 4 only) y=(52,110,0,56)

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