Power Pickles now wishes to determine when its pickle packages should be produced. It must deliver 50 packages in June, 100 in July, and 150 in August. For each package produced in June and July, a $1 cost is incurred. For each package produced in August, a $1.50 cost is incurred. Production each month is not limited, but packages can only be produced in groups of 50 per month. Pickles may be produced for delivery in future months, but there is an inventory cost of $1 incurred for each package, each month. The cost of setting up production in the factory during any month is $100. At the beginning of June, there are no packages in stock. Use dynamic programming to determine how many packages should be produced each month to minimize total costs (i.e., the costs of production, inventory, and factory setup costs).