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The AOA network for a certain project is given in the graph below with the task durations (in days) in the table beneath it. The activities d1 and d2 are dummy activities. What is the slack for activity g? Activity a b c d e f g h Duration 6 15 10 5 3 1 9 8 Capture(1)(2).GIF

A manager has been using a certain technique to forecast demand for gallons of ice cream for the past six periods. Actual and forecasted amounts are shown below. Period Demand Forecast 1 85 75 2 96 100 3 102 105 4 85 87 5 74 68 6 69 65 What is the MSE for this forecasting technique?

A manager uses the following linear regression equation to predict monthly sales of books: Y = 50,000 + 125t Where t and Y refers to the time period and sales respectively. What is the forecast for July of next year if t = 0 is April of this year?

A former White House aide, who is now the owner of a Washington lobbying firm, is trying to decide whether to hire one, two, or three assistant lobbyists. He estimates that profits next year (in thousands of dollars) will vary with demand for his lobbying services as follows:                                                                  DemandDemandDemand # of Assistants Low Medium High One 620 100 620 Two -300 250 555 Three 0 0 615If he feels the chances of low, medium, and high demand are 50%, 20%, and 30% respectively, what are the expected annual profits for the number of assistants he will decide to hire?

The business analyst for Movie Sales, Inc. wants to forecast this year’s demand for Movies based on the following historical data: Time Period Demand 5 years ago 200 4 years ago 600 3 years ago 300 2 years ago 500 Last year 700 What is the forecast for this year using the naive approach?

The operations manager for the Amazing Juice Co. produces two juices: Regular (R) and Lite (L). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes) per day; and sugar (one of his ingredients), of which he can get only 900 lb each day. To produce a container of Regular juice requires 1 minute of time and 3 lb of sugar, while each container of Lite juice needs 2 minutes of time and 1 lb of sugar. Profits for Regular juice are $2 per container, and profits for Lite juice are $5 per container. Assume R and L are the number of regular and lite containers of juice to produce respectively. Answer the following based on a Linear Programming (LP) formulation of the problem. What is the time constraint?

A location analysis has been narrowed down to three locations. The critical factors, their weights, and the ratings for each location are shown below: Factor Wt. Location A B C Labor Cost 0.4 75 55 100 Transportation Cost 0.2 85 45 70 Market Access 0.2 70 60 45 Raw Material Access 0.1 55 75 75 Utility Cost 0.1 95 65 35 If the selection criterion is to be the greatest composite score, management should choose:

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product: Task Predecessor Time (seconds) w – 30 x w 30 u w 6 v u 12 z v 38 y x, z 30 The company uses the following primary and secondary rules to balance the line: Primary rule: the largest number of followers Secondary rule: the largest processing time to balance the line What tasks will be in the last workstation?

A location analysis has been narrowed down to three locations. The critical factors, their weights, and the ratings for each location are shown below: Factor Wt. Location A B C Labor Cost 0.4 75 55 100 Transportation Cost 0.2 85 45 70 Market Access 0.2 70 60 45 Raw Material Access 0.1 55 75 75 Utility Cost 0.1 95 65 35 If the selection criterion is to be composite score exceeding 80, management should choose

A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product: Task Predecessor Time (seconds) w – 30 x w 30 u w 6 v u 12 z v 38 y x, z 30 If the company desires that output rate equal demand, what is the minimum number of workstations needed?