You have now provided your company’s management with powerful tools that model the cost of production in the three factories. when you get an order for a certain number of units, you can be informed of the cost that would be incurred by each factory if chosen to fulfill the order. in reality, the decision must also consider many other factors, but in our scenario, we want to fill our orders at the lowest average cost per unit. consider each of the following questions as a separate, unrelated day of business. a. on monday, you have a single request: order a for 15,000 units. it must be fulfilled by a single factory. to which factory do you send the order? explain your decision. support your argument with numbers. (10 points) b. on tuesday, you have two orders. you may send each order to a separate factory or both to the same factory. if they are both sent to be fulfilled by a single factory, you must use the total of the two orders to find that factory’s cost per unit for production on this day. remember that the goal is to end the day with the lowest cost per unit to produce the company’s products. order b is 7,000 units, and order c is 30,000 units. (15 points, 5 points per part)