Question 1 1. Problem 1: Cans of corn are filled by a machine which can be set for any desired average amount. If the fill is normally distributed with a standard deviation of 1.5 grams, where should the quality control supervisor recommend the machine be set so that 95% of cans will contain 500 grams or more? ________________________________________ Problem 2: The normal scrap loss for four successive operations is 5%, 3%, 15% and 10% respectively. Find: a) The number of units that must be started through in order to finish with 1,200 pieces. b) The total machine time needed if the operation times are 3, 6, 4 and 5 minutes, respectively. c) The total cost if the cost per unit for each successive operation is $2, $5, $3, and $1, respectively. ________________________________________ Problem 3: The Seabrook Nuclear plant project is being planned on a PERT basis. The following information covers part of a larger PERT network diagram: Activity Expected Time Variance (wks) A-C 11 3 A-D 6 2 B-D 5 1 C-E 7 2 C-F 5 0 D-F 9 3 D-G 10 2 E-F 2 1 G-F 5 0 a) Draw a PERT diagram for the above activities. b) What is the critical path? c) How many weeks will it take to complete this work? d) How much slack exists in the path containing events C, E, and F? e) What is the probability the project will take longer than 24.92 weeks? ________________________________________ Problem 4: Sales of Cool-Man air conditioners have grown steadily during the past five years. Year Sales 1 450 2 499 3 518 4 563 5 584 6 ? Using the trend projection method, develop a forecasting model for the sales of Cool-Man air conditioners. ________________________________________ Problem 5: Consider the following data: Period Actual Demand Jan 20 units Feb 33 Mar 28 Apr 35 May 37 June 25 The sales department is planning for July and wants to estimate the demand. Using the exponential smoothing forecast model, compute the demand forecast for July.

Subject | Business |

Due By (Pacific Time) | 03/10/2015 12:00 am |

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