Please solve by using Dynamic Programming!

Question 2) A firm must deliver the following number of products during the next four weeks; in week 1, 200 products; in week 2, 300 products; in week 3, 200 products, in week 4, 400 products. During weeks 1 and 3, a $12 changing cost is incurred for produced products and during weeks 2 and 4, a $10 changing cost is incurred for produced products. The inventory cost is $1.6 for each product in stock at the end of a week. The cost of setting up for production is $200 during a week. Moreover, the products are produced in 100 batches each week. Given that the initial inventory level is o units, use dynamic programming to determine an optimal production schedule