Metal Fabricators, Inc., manufacturers gasgrill tanks, Model 1420, for four original equipment manufacturers (OEMs). Demand is forecast to be as follows: Quarter 1 2.500 tanks, Quarter 2 - 3,100, Quarter 3 - 3,200, and Quarter 4 - 2,600. Due to a hedging program for sheet steel and increases in international tits, production cost per quarter vary as follows: Quarter 1 - $21.20 per tank, Quarter 2 - $25.20, Quarter 3 - $23.30, and Quarter 4 - $26.10. Due to production contracts with the OEMs, 10 shortages are allowed. Beginning inventory for Quarter ti 270 tanks. At the end of each quarter, inventory holding costs are $3.75 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 have any fields blank. If the constant is one or minus one, et "1" or "" correspondingly, Let - number of units produced in month i mnvertory at the end of months - 1. PE Minimal total cost P. Pa P3 The constraints are as follow Week 1 1: 12 set Select Select 15 Week 2: Week 3: Week 4 -Select- PE Pe It O fort - 1,2,3