During each of the next two months, you can produce as many as $50$ units$/$month of a product at a

cost of $$12/$unit during month one and $$15/$unit during month $2.$ The customer is willing to buy as

many as $60$ units$/$month during each of the next two months. The customer will pay $$\frac{20}{?}$ unit during

month one and $$\frac{16}{?}$ unit during month $2.$ It costs $$\frac{1}{?}$ unit to hold a unit in inventory for a month.

Formulate a balanced transportation problem whose solution will tell you how to maximize profit and

find the optimum solution.