please solve Question 4 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

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?

question 4: You are given the following production capacities for the demand in problem 3 above:

Period	1	2	3	4	5	6
Capacity	600	600	600	400	200	200

Determine the planned order release using the lot sizing technique for capacity constraints with the improvements step and the corresponding total holding and setup cost.

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)