Question: Please answer all questions thorough. All data is provided. Inventory Level as a Function of Time Inventory (units) 2200 2000 1800 1600 1400 1200 1000

Please answer all questions thorough. All data is provided.

Inventory Level as a Function of Time Inventory (units) 2200 2000 1800 1600 1400 1200 1000 800 600 400 200 0 0 2 4 6 8 10 12 Month WIDGET-A You operate a production facility that faces the following forecasted seasonal demand pattern for Widget-A: 650 units/month for the first four months of the year, 1000 units/month for the next four, and 1500 units/month for the last four months of the year. 6. Suppose that you decide to produce at a constant rate of 1050 units per month throughout the year. You have zero inventory at the beginning of the year. Plot the resulting inventory level in your company's warehouse, as a function of time, on the graph on the next page. To simplify matters, assume that demand and production occur at a constant rate and not in discrete quantities. Please make sure that the graph is clearly visible on the final PDF that you upload at the end of this exam. What is the maximum inventory level during the year? 7. What is the average length of time Widget-As spend in your company's warehouse over the year (in Months)

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