A company which produces a single product has definite orders for this product over the next six months as follows: Month 1 2 3 4 5 6 Demand 350 680 475 590 460 390 The company ended the previous month (month 0) with an inventory of 200 units, and the previous month production level was 400 units. The company wishes to end this six-month planning period with an inventory of at least 50 units. It costs $3.50 per unit to increase the production level from one month to the next, and $6.00 per unit to decrease it. The cost of holding inventory from one month to the next is $4.80 per unit per month. No shortages are permitted. In each month, the company wants to produce an integer number of units. The company wishes to minimize the sum of production level change costs and inventory costs over the six-month planning horizon

a) provide an algebric solution

b) SOLVE USING EITHER LINGO OR EXCEL SOLVER AND INCLUDE REPORT

c) EXPLAIN THE SOLUTION