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A small retail store sells a particular product with a constant demand of 50 units per week. The store can order new items from the supplier at a cost of $20 per unit. However, there is a holding cost associated with keeping items in inventory, which is $2 per unit per week. The store has limited space in its storage area, allowing it to keep a maximum of 200 units in stock at any given time. Formulate a mathematical programming problem to help the store determine how many units of the product to order each week in order to minimize the total cost, considering both the ordering cost and the holding cost, while satisfying the demand and storage constraints