Construct the following plan: Month Beginning Inventory Demand Required ProductionNumber of workers Actual Production January 400 1000 600 30 1320 February 720 1200 2 30 1320 March 2 1300 ? 30 1320 a) (5 pts) How many units are produced by each worker? b) (5 pts) How many units must be produced in February if no shortages are allowed? c) (5 pts) What is the beginning inventory for March for the given plan? d) (5 pts) What is the total inventory cost incurred for this plan if it costs $24 per year to hold one unit in inventory? e) (2 pts) What would you call this plan? 1) (3 pts) Is it optimal? Explain.