solve by using Dynamic Programming (do not use lingo please and be clear )

A given company produces units for which the demand in each week is 2 products. The allowed regular time as well as overtime production are given in following table with production cost in regular time. There are costs associated with carrying inventory and cost associated with the production in overtime. The cost for each unit produced in overtime is 100$ more than the cost per unit produced in regular time. The unit cost of inventory is $50 per week. At the start of the first week there are two units of product in the inventory. 1 The company wants to have 0 units in its inventory after three weeks. Determine a production schedule to minimize the total cost. 1) Using Dynamic Programming