Problem 3.0 - The Scott Corey accounting firm is installing a new computer system. Several things must be done to make sure the system works properly before all the accounts are put into the new system. The following table provides information about this project. How long will it take to install the system? What is the critical path? - The managing partner of the Scott Corey accounting firm has decided that the system must be up and running in 16 weeks If the project is to be finished in 16 weeks, which critical activity or activities should be crashed to do this at the least additional cost ? What is the total cost of this? \begin{tabular}{|c|c|c|c|c|c|} \hline ACTIVITY & \begin{tabular}{c} IMMEDIATE \\ PREDECESSOR \end{tabular} & \begin{tabular}{c} NORMAL \\ TIME \\ (WEEKS) \end{tabular} & \begin{tabular}{c} CRASH \\ TIME \\ (WEEKS) \end{tabular} & \begin{tabular}{c} NORMAL \\ COST \( (\$) \) \end{tabular} & \begin{tabular}{c} CRASH \\ COST \( (\$) \) \end{tabular} \\ \hline\( A \) & - & 3 & 2 & 8,000 & 9,800 \\ \hline\( B \) & - & 4 & 3 & 9,000 & 10,000 \\ \hline C & \( A \) & 6 & 4 & 12,000 & 15,000 \\ \hline\( D \) & B & 2 & 1 & 15,000 & 15,500 \\ \hline\( E \) & A & 5 & 3 & 5,000 & 8,700 \\ \hline\( F \) & C & 2 & 1 & 7,500 & 9,000 \\ \hline\( G \) & \( D, E \) & 4 & 2 & 8,000 & 9,400 \\ \hline\( H \) & \( F, G \) & 5 & 3 & 5,000 & 6,600 \\ \hline \end{tabular}
Added by Retchin B.
Close
Step 1
The critical path is the sequence of activities that must be completed on time for the entire project to be completed on time. It is the longest path through the project. Show more…
Show all steps
Your feedback will help us improve your experience
William Semus and 87 other Discrete Mathematics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
A construction company has signed a contract to build an office tower. The contract stipulates that the project will be completed in 1500 days from today and also includes a penalty on the construction company of $30,000 per day the project is late. In addition, the construction company estimates that its internal cost is $60,000 for each day the project is late. However, completing the project early is costly to the firm as well: each day the project is early costs the firm $45,000. (This includes opportunity cost of capital and idle capacity.) The firm estimates the project will take 1200 days to complete with a standard deviation of 500 days. Question: How many days should the firm wait to begin construction? Answer choices = 70 days, 80 days, 90 days, or 100 days
Charles M.
MRP Appliance is a company that produces all kinds of major appliances. Bud Banis, the president of MRP, is concerned about the production policy for the company's best-selling refrigerator. The annual demand has been about 8,000 units each year, and this demand has been constant throughout the year. The production capacity is 200 units per day. Each time production starts, it costs the company $120 to move materials into place, reset the assembly line, and clean the equipment. The holding cost of a refrigerator is $50 per year. The current production plan calls for 400 refrigerators to be produced in each production run. Assume there are 250 working days per year. a. What is the daily demand of this product? b. If the company were to continue to produce 400 units each time production starts, how many days would production continue? c. Under the current policy, how many production runs per year would be required? What would the annual setup cost be? d. If the current policy continues, how many refrigerators would be in inventory when production stops? What would the average inventory level be? e. If the company produces 400 refrigerators at a time, what would the total annual setup cost and holding cost be? f. If Bud Banis wants to minimize the total annual inventory cost, how many refrigerators should be produced in each production run? How much would this save the company in inventory costs compared to the current policy of producing 400 in each production run?
Ameer S.
Chapter 2 Problem 1 Kelson Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and profit contribution per glove are given in the following table. Production Time (hours) Model Cutting and Sewing Finishing Packaging and Shipping Profit/Glove Regular model 1 1/2 1/8 $5 Catcher's model 3/2 1/3 1/4 $8 Assuming that the company is interested in maximizing the total profit contribution, answer the following: What is the linear programming model for this problem? Find the optimal solution using the graphical solution procedure AND Excel. How many gloves of each model should Kelson manufacture? What is the total profit contribution Kelson can earn with the given production quantities? How many hours of production time will be scheduled in each department? What is the slack time in each department?
Umar Sohail Q.
Recommended Textbooks
Discrete Mathematics and its Applications
Higher Level Mathematics
Discrete Mathematics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD