please show the working for the question and suggest recommendation.

Quiggly Pops Demand for Quiggly Pops follows an up and down pattern over the four quarters of a year, with peaks in the spring and winter months when special promotions are held. Production is handled by a highly skilled local workforce during a regular 40 hour week (i.e. overtime and subcontracting are not used). The average output is 1.250 units per worker. The company likes to zero out inventory at the end of the year so that it can start fresh each January. Quiggly Pops currently uses a level production strategy but would like to evaluate other options. Quarter 1 2 3 4 Demand Forecast 70,000 100,000 50,000 150,000 Hiring Cost = 500.00 per worker Firing Cost = 500.00 per worker Inventory Carrying Cost = 1.00 per unit per quarter Regular Production Cost = 10.00 per unit Average Output = 1,250 units per worker Beginning Workforce: 40 Workers Assignment: Create a production plan and calculate the cost of the plan for each strategy listed below. a) Level Production b) Chase Demand c) Produce 70,000 in period 1, and 100,000 in periods 2, 3 & 4 d) Produce 90,000 in periods 1, 2 & 3, and 100,000 in period 4 Which plan would you recommend to Quiggly Pops and Why