At the end of December, you are asked to create a production plan for next year, based on the following table. And, there is 180 beginning inventory and regular production capacity is 400 units and production cost is $10 per unit. Every change on regular production will be charged $50. Overtime costs $10 extra and is limited to 150 units per month. There is a cost of $5 per month to hold a unit in inventory. Table 1 Month Forecast Regular Overtime Ending Production Production Inventory 350 0 180 December January February March April May June July August September October November December 250 300 500 350 380 400 390 370 420 450 570 600 a) Create a level production plan for January through December, state the ending inventory, regular and overtime production of each month, as table 1. And, determine the cost in January b) Create a chase production plan for January through December, state the ending inventory, regular and overtime production of each month, as table 1. And, determine the cost in January At the end of December, you are asked to create a production plan for next year, based on the following table. And, there is 180 beginning inventory and regular production capacity is 400 units and production cost is $10 per unit. Every change on regular production will be charged $50. Overtime costs $10 extra and is limited to 150 units per month. There is a cost of $5 per month to hold a unit in inventory. Table 1 Month Forecast Regular Overtime Ending Production Production Inventory 350 0 180 December January February March April May June July August September October November December 250 300 500 350 380 400 390 370 420 450 570 600 a) Create a level production plan for January through December, state the ending inventory, regular and overtime production of each month, as table 1. And, determine the cost in January b) Create a chase production plan for January through December, state the ending inventory, regular and overtime production of each month, as table 1. And, determine the cost in January