Month Problem 2 Developing aggregate plan The master scheduler of Southern Mechanics is making the aggregate planning of the 2014 first half for skateboard. The forecasted demand is as follows Demand forecasting 23 Total Forecast 200 200 200 00 The current cost composition is as follows: Output Regular time = $2 per skateboard Overtime = $3 per skateboard Subcontract - S6 per skateboard Inventory = $1 per skateboard per month on average inventory Back orders = $5 per skateboard per month Southern Mechanics has capacity of outputing 300 skateboards per month. And the over time capacity is 80 and subcontracting capacity is 90. The initial inventory is zero and should have an ending inventory of zero in the last month. When solving every subproblem, please use the conditions described above and in the subproblem. Do not use conditions described in other subproblems. All solutions for the subproblems should be filled in the blank form given in Solution section. (if your choice is zero, please do not fill it in the form and just left blank): . Problem 2.1 please develop a new aggregate plan with less than $4640 total cost. . Problem 2.2 suppose Southern Mechanics has different demand forecast as follows: Foreca 20 Total 100 200 300 400 500 2001.00 150 150 200 200 500 200 LOG 200 150 350 400 500 200.00 150 200 35000 500 2001. OB 200 200 250 450 500 200 LOG 200f2000 2001 200 200 2500000 250.0 ISO 200 300 900 900 26.800 150 150 300 450 500 250.00 150 150 350 4000 2001.00 150 LSCESO 2000 200.00 150 LSC SC 400 500 250 1.100 uso 150 200 200 200 1.00 ISO 1300-4500 200.00 200 200 25 400 500 SL.NOG 200 200 so so so 200.00 200 200 350 400 450 200.00 200 250 300 400 450 200 1.80G 200250 400 400 500.00 2002:50 Escas socis 1.OG Please develop aggregate plan. 11 14 Is 16 17 lo LO 11 12 13 14 115 17 15 119 ZO