Make vs. Buy Your company makes a variety of products. A large order for three products has just been received from a customer who also requested a very short due date. A quick calculation revealed that the limiting resource is the labor time; only 200 labor hours are available, and that is not enough to make all the requested units of products. Some units must be outsourced to subcontractors. Two subcontractors are available. Subcontractor A has low prices, but can only provide a maximum of 60 units of all products in total. Sub-contractor B is more expensive, but can provide any number of units of any product. Your company wants to decide how many units of each product to make and how many units to buy from each subcontractor in order to minimize the total cost. The table below summarizes all necessary information. Product 1 Product 2 Product 3 Cost of making a unit Cost of buying a unit from Subcontractor A 3 Cost of buying a unit from Subcontractor B $23 Labor hours needed to make a unit 1 2 Demand in units 100 80 7O 1. Write on paper an LP model for this problem. (Make sure your LP model includes: definitions of decision variables, an objective, constraints, and bounds on variables.) 2. Implement your model on a computer and determine the optimal solution. 3. Is the feasible region of this problem unbounded