PROBLEM #1: A production manager needs to develop a production schedule to meet the following demand Period 1 2 3 4 Demand 500 1300 1600 500 perunt production costs are as follows: production cost during regular time: S4 per unit cost of subcontracting 55 Inventory carrying cost - 53 per tinit per period Back-order costs $8 per unit per period Regular production rate 900 units per period You can subcontract at the rate of 150 units per period only during the second and third periods. Develop a production schedule for this scenano and answer the following questions What is the average inventory for the first period QUESTION 12 What is the surplus or shortage in the second period? (Hint: Use the equation given above). Enter only the number without a minus in even if your answer is a negative number 61 QUESTION 13 What is the inventory at the beginning of the second period? QUESTION 14 Vhat is the average inventory for the second period