please solve all as I can't post separately

Question 2 O points Save Answer Problem 1 (30 points) CHEM, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 0.4 tons of material I and 0.6 of material 3. A ton of solvent base is a mixture of 0.5 tons of material 1, 0.2 tons of material 2, and 0.3 tons of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of soivent base produced. CHEM's production is constrained by the limited availability of the three raw materials. For the current production period, CHEM has available the following quantities of each raw material: Raw Material Amount Available for Production Material 1 20 tons Material 2 5 tons Material 3 21 tons Assuming that CHEM is interested in maximizing the total profit contribution, answer the following: a. Define the decision variables and problem constraints. Algebraically state the objective and constraints of this problem. (10 points) b. Plot the constraints and identify the feasible region and its corner points. What is the optimal solution? Show your work. (15 points) c. Is there any unused material? If so, how much? (5 points) Question 3 O points Save Answ Problem 2 (25 points) ASU is undertaking a summer renovation of its main building. The project is scheduled to begin May 1, and a September 1 (17-week) completion date is desired. The project manager identified the following renovation activities and their estimated times: Immediate Predecessor Activity A B D E F A, B, C C D A DF E Time 3 1 2 4 5 3 6 4 H a. Draw a project network (10 points) b. Will the project be completed by September 1? (15 points) Question 4 Problem 3 (25 points) Consider the following time-series data 1 3 4 5 8 Week Value 2 13 6 14 7 15 18 16 11 17 16 a. Construct a time series plot. What type of pattern exists in the data? (3 points) b. Develop a three-week moving average for this time series. Compute MAD and a forecast for month 9 (10 points) c. Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MAD and a forecast for month 9. (10 points) d. Which of the two methods appears to provide a better forecast? Explain. (2 points) Question 5 0 points Save Answe Problem 4 (10 points) A firm produces three products in a repetitive process facility. Product A sells for $60; its variable costs are $20. Product B sells for $200; its variable costs are $80. Product C sells for $25; its variable costs are $15. The firm has annual fixed costs of $320,000. Last year, the firm sold 1000 units of A, 2000 units of B, and 10,000 units of C. a. Calculate the break-even point of the firm. (5 points) The firm has some idle capacity at these volumes and chooses to cut the selling price of A from $60 to $45, believing that its sales volume will rise from 1000 units to 2500 units. b. What is the revised break-even point? (5 points)