1. The number of pizzas ordered on Friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is shown below. 58, 46, 55, 39, 43, 63, 54, 58, 62, 52 Use exponential smoothing with smoothing constants of .2 and .8 to forecast a value for week 11. Compare your forecasts using MSE. Which smoothing constant would you prefer? (Please do not just write the answer. Otherwise your will lose points.) 2. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below. Plastic Ink Assembly Molding Time Fliptop Model 3 5 2 Tiptop Model 4 4 2 Available 36 50 30 The profit for Fliptop model is $1000 per lot, and $1300 for Tiptop model per lot. Please answer the following questions: a. What is the linear programming model for this problem? b. Find the optimal solution. (You can use graphic method. Please show your detailed steps the graph if you use graphic method. You can also use software package such as Excel Solver. Please provide the Excel file if you use Solver. Please do not just write the answer. Otherwise your will lose points.) 3. Consider the following linear program: Max s.t. 3x14x2 ($ Profit) x13x2