1. A) (15 marks) Given the following data, find the minimal cost production plan for the next 3 periods. Initial inventory is 50 units and final inventory is desired to be 75 units. Fill in the TWO TABLES below. Indicate cost in parentheses() period 2 13 Capacity 350 300 350 Demand 200 300 400 Production Cost 10 11 12 Holding cost 2 2 2 1 2 period 1 3 2 3 Production Plan: Cost: production inventory Period 1 2 3 b) (15 marks) Let us now assume that overtime is available for these 3 periods: overtime capacity is 90, 90 and 75 in period 1, 2 and 3; and, overtime costs are $13,514 and $ 12.5 for the three periods respectively. Resolve the problem using this option as well. Calculate costs for parts (a) and (b). Which one is better? Fill in the TWO TABLES BELOW. 1 3 period 1 1 2 ) ) 3 Production Plan: Cost: production inventory Period 1 2 3