. . Instruction - Please read carefully! Assignments must be lepible and well-organized. Students can receive up to 5 marks for a neat and organized assignment compiled in one document. You can handwrite your assignment or use Word or Excel. If you use different applications, you can cut and paste photos or Excel tables into a Word document. To submit your assignment, scan or print your document to PDF. Students can work together, but they must submit their own assignments. Assignments cannot be accepted once the answers have been posted. To receive full marks, you need show your work (including formulas) and label graphs completely Problem 1 (10 marks) Sailmaster makes high-performance sails for competitive windsurfers. Below is information about the inputs and outputs for one model, the Windy 2000 for the years 2019 and 2020. Units sold Sales price per unit Total labour hours Wage rate Total materials Total energy 2019 1,217 $1,700 46,672 $12/hour $60,000 $4.000 2020 1,452 $1,750 48,388 $12.50 $70,000 $4500 Calculate the productivity in (0 sales revenue/labeur expense and () the multifactor productivity for 2019 and 2020. What is the percentage change in both measures of productivity? Problem 2 (16 marks) The following table provides the number of cars sold within the city of Metropolis: Month May Cars Sold 360 389 410 June July August September October 381 368 374 Forecast the demand for the months of August, September October, and November 1. using a 3-month moving average il. using a naive forecasting method ils, using exponential smoothing with a forecast for May of 300 and a=2 After calculating the forecasts, it was determined that November sales are 350. Find the MAD for each forecast method (August to November) and indicate which method provides a more accurate forecast. b) Problem 3 What is the expected output for a plant with a design capacity of 108 chairs per day, if its effective capacity is 90 chairs and its efficiency is 90%? Problem 3 (3 marks) A work centre operates 2 shifts per day, 5 days per week (8 hours per shift) and has 4 machines of equal capability. This is the effective capacity. If the work centre has a system efficiency of 95%. what is the expected output in hours per week? Problem 4 (12 marks) Janelle Hsinke the owner of Hot Pizza! is considering a new oven in which to bake the firm's signature dish, vegetarian pizza. Oven type A can handle 20 pizzas per hour. The fixed costs associated with oven A are $20,000 and the variable costs are $2.00 per pizza. Oven B is larger and can handle 40 pizzas an hour. The fixed costs associated with oven B are $30,000 and the variable costs are $1.25 per pizza. The pizzas sell for $14 each. a) What is the break-even point for each oven? b) If the owner expects to sell 9,000 pizzas, which oven should she purchase? c) If the owner expects to sell 12.000 pizzas, which oven should she purchase? d) At what volume should Janelle switch ovens? (Hint: this occurs when the profits are the same for both ovens) eese Problem 5 (17 marks) Important Use the process discussed in class and follow the examples on Moodle. Label your graphs, use arrows to indicate the direction of activities, and circle the nodes. Set up a table when you balance the line and then show your workstations on your precedence network. 7. For the following tasks: LOS a. Dewelop the precedence network. b. Determine the eyele ume (in seconds) fix a desired output rate of 500 units in a seven-hour day. e. Determine the minimum number of workstations for an output rate of 500 units per day d. Balance the line using the sign the task with the most followers" heuristic rule. Break ties with "Assign the task with the longest time heuristie rule. Use a cycle time of 50 seconds. e. Calculate the percentage idle time for the line Task Task Time (seconds) Immediate Predecessors 45 B 11 A 10 D 50 B 20 D 11 H 10 9 HG 22 103 Problem 6 (5 marks) The manager of a local medical laboratory notes/that over the past 45 cycles, the technicians spend 17 minutes with each client. The performance rating is 80% percent of industry standard and the workday allowance is 10 percent. Determine the observed time, the normal time, and the standard time. Problem 7 (5 marks) 7. A subcontractor is responsible for outfitting six ships with new electronics Four of the six ships have been completed in a total of 600 hours. If the task has a 75 percent learning curve, how long should it take to finish the last two units? LO2 Problem 8 (7 marks) 13. A clothing manufacturer produces women's clothes at four bcations. A coordinate system has been determined for these four locations as shown below. The location of a central warehouse for rolls of cloth must now be determined. Weekly quantities to be shipped to each location are shown below. Determine the covedinates of the location that will minimize total transportation cost. LO3 Location (x) Weekly Quantity 5.8 15 69 20 25 D 9.4 10