Question #1 (2 Marks) Consider the network shown below. The time, in hours, between nodes is shown along each branch a Develop a mathematical model that determine the shortest route between node 1 and 6. b. Solve it using LINDO and show the results c. What is the shortest route between node 1 and 6? 4. Which route corresponding with the optimal solution in part b above should be followed? Answer: BUS 242 Assignment 2 Semester 422 2 Question #2. (3 Marks) Consider the table below showing the activities that comprise a project. Each activity's estimated completion time (in weeks) and immediate predecessors are listed as well. a. Draw the project diagram. b. Determine the expected total time to complete the project. c. Determine the slack for each activity. d. Determine all critical paths and critical activities. e. How many weeks correspond with 80% project completion? f. What is the probability that the project can be completed in 40 weeks or less? Activity Predecessors 1 Ilmia 3 4 1 1 2.3 2.3 8 12 7 8 1 5 5 1 1 3 b 17 15 10 23 1 13 9 7 1 2 11 7 . 4,5 8 6,7 7.9 MENU 6 25 1 2 8 10 11 ANSWER: BUS 242 A2S 422 3 Question #3. (3 Marks) Jubail Frozen Chicken sells frozen chicken to supermarkets and stores around the Kingdom. Demand for the frozen chicken is expected around 500,000 chickens per year and it has a production capacity of 750,000 per year. The cost of one piece of chicken is SAR 10. The holding cost is based on a 20% annual rate. The production setup costs are SAR 500 per setup. The company is working for 240 working days in a year and the lead time for a production run is 10 day. Use the production lot size model to compute the following values: a. Minimum cost production lot size [ Average inventory level b. Number of production runs per year & Annual ordering cost c. Cycle time h Annual inventory cost d. Length of a production run i. Total annual cost c. Maximum inventory level j. Reorder point ANSWER: Question 4 Marks) A food truck company wants to order a specialty coffee bean for the next three-month demand. Certainly, the food truck company does not want to carry the coffee beans for more than three months since the taste of the coffee beans will change. The coffee beans will cost the company SAR 60 per kg to purchase. But the company can generate a revenue of SAR 150 per kg of coffee beans purchased. After three months, the coffee beans can be sold to small shops at SAR 40 per kg. Based on previous experiences, the demand for coffee beans can reach up to u = 180 kg with standard deviation = 10 kg. a. What is the recommended order quantity? b. What is the probability that the company will sell all coffee beans purchased? ANSWER: Bus 242 Assignment 2 semea 422 5