estions Problem 14-28 Algo (Using Optimization Models for Resource Management) Question 2 of 6 Hint(s) Check My Work Metal Fabricators, Inc. manufacturers gas grill tanks, Model # 1420, for four original equipment manufacturers (OEMs). Demand is forecast to be as follows: Quarter 1 - 2,800 tanks, Quarter 2 - 3,400, Quarter 3 - 3,600, and Quarter 4 - 2,900. Due to a hedging program for sheet steel and increases in international tariffs, production cost per quarter vary as follows: Quarter 1 - $23.50 per tank, Quarter 2 - $28.00, Quarter 3 - $25.90, and Quarter 4 - $29.00. Due to production contracts with the OEMs, no shortages are allowed. Beginning inventory for Quarter 1 is 300 tanks. At the end of each quarter, inventory holding costs are $4.25 per tank. Formulate this as a linear optimization model but do not solve. Round your answers for the coefficients for objective function to two decimal places and round other answers to the nearest whole number. Use a minus sign where appropriate and do not leave any fields blank. If the constant is one or minus one, enter "1" or "-1" correspondingly. Let: Pi = number of units produced in month i, Ij = inventory at the end of month i Minimal total P1 + P2 + P3 + P4 + 11 + 12 + 13 cost The constraints are as follows: Pi + + 11 -Select- I + P2 + 12 -Select- Week 1: : Week 2: Week 3: Week 4: Iz + P3 + 13 -Select- P4 + 14 -Select- 13 + Pt, It 2 0 for t = 1, 2, 3 Hint(s) Check My Work Icon Key