Question one The following gives processing time, set up time, and due date information on eight different types of tasks. Assume All times and due dates are in days. Task Processing Time Set Up Time A 5 2 Due Date 10 B 8 15 6 2 15 20 D 3 2 E 10 3 25 F 14 40 G 7 4 45 H 3 3 50 Given this information: i. the maximum tardiness when using the First Come First Served (FCFS) scheduling approach is Blank 1. Fill in the blank, read surrounding text. days ii. the maximum tardiness when using the Shortest Processing Time (SPT) scheduling approach is Blank 2. Fill in the blank, read surrounding text. days iii. the maximum tardiness when using the Earliest Due Date (EDD) scheduling approach is Blank 3. Fill in the blank, read surrounding text. iv. the maximum tardiness when using the Minimum Slack (SLACK) scheduling approach is Blank 4. Fill in the blank, read surrounding text. days days Question 2 Consider the project described by the table below where all durations are in days and the normal and crash costs are in Ghana Cedis. In addition, there is a fixed cost of GHS1000 for cach day on site. Activity Activity Predecessor Normal Normal Crash Crash Code Time Cost (GHS) Time Cost (GHS) 1 None 6,000 2 7.000 B None 13 TO 8.500 7,000 8,000 3 C None 19 15 4 D A 6.000 15 8.100 5 E 13 11 6 F C 10 9 8,000 10,000 8.500 9,000 7 G D 18 14 8 H E 6 5 10.300 11.000 11.000 10,000 16,500 12.000 8.000 2.000 1 F 4 15.000 3 10 J G 13 12.000 K 15 6,700 12 L J.K 2.000 For the questions that follow, use the activity codes in place of the activity. For instance, activity B should be written as activity 2. That is, stands for B. Thus, a critical path of say, CBJ must be written as 3210 in the space provided Note: All answers must be in numeric form. This is why activities are given number codes 1. If activity K were to be delayed by 4 days, then the project will be delayed by Blank I. Fa in the blank, read surrounding text. days. ii. If activity K is delayed by four days as in question) above, then the project cost will be GHS Blank 2. Fill in the blank, read surrounding text. ii. The project completion time is Blank 3. Fill in the blank, read surrounding text. days. iv. The number of days for which activity Fcould be delayed without delaying the project is Blank 4. Fill in the blank, read surrounding text. days V. The total cost of the project within the normal time frame is GHS Blank S. Fill in the blank read surrounding text. vi. If the project manager would want to save cost by taking advantage of the daily indirect cost, then the carliest permissible time the project would be completed is in Blank 6. Fill in the blank, read surrounding text. days vii. The total cost of the project if the project manager undertakes the action in question (vi) is GHS Blank 7. Fill in the blank, read surrounding text. Question 3 * Tema 7 Management of ShopRite Ghana want to determine the best location for a warehouse to supply five of its shops in and around Accra. The shops are situated in Tema, Osu, East Legon, Achimota and Kasoa. The (x,y) coordinates (in kilometers) of the shops, and the daily amount of supplies (in tons) required at each shop are as follows Coordinates Shop y Daily Tonnage (1000) 11 12 85 Osu 30 110 East Legon 52 35 75 Achimota 30 45 60 Kasca 25 100 Given this information, a the best site for the warehouse using the center-of-gravity technique is X - Blank 1. Fill in the blank, read surrounding text. and Y Blank 2. Fill in the blank, read surrounding text b. Suppose it turned out that the proposed site according to the center of gravity technique turned out to be in the sea. In addition, management will want the warehouse to be located such that it is easily accessible by road from all five shops. Four potential sites selected with coordinates (in kilometers) are site 1 (32, 24), site 2 (25, 40), site 3(18,45), and site 4 (32, 44). Using the load-distance technique, i. the load-distance value for site 1 is Blank 3. F in the blank, read surrounding text. ii. the load-distance value for site 2 is Blank 4. Fa in the blank, read surrounding text. ili. the load-distance value for site 3 is Blank 5. Fa in the blank, read surrounding text. iv. the load-distance value for site 4 is Blank 6. Fa in the blank, read surrounding text. v. the best site for the warehouse is Site Blank 7. Fil in the blank, read surrounding text. since it has the smallest load-distance vi. the distance between the proposed site in question (a) and the propose site in question (b) part (v) is Blank 8. Fill in the blank, read surrounding text kilometers Question 5 Tribal Systems, Inc., is opening a new plant and has yet to decide on the type of process to employ. A labor-intensive process would cost $30,000 for tools and equipment and $10 for labor and materials per item produced. A semi-automated process costs $50,000 in plant and equipment but has a labor/material cost of $9 per item produced. A fully automated process costs $300,000 for plant and equipment and $4 per item produced. If process selection were based solely on lowest cost, the range of production that would see Tribal Systems choosing a semi-automated process is if demand is between Blank 1. Fill in the blank, read surrounding text. and Blank 2. Fill in the blank, read surrounding text. Question 6 A product design engineer must decide if a redundant component is cost-justified in a certain system. The system in question has a critical component with a probability of 0.98 of operating System failure would involve a cost of GHS20,000. For a cost of GHS100, a switch could be added that would automatically transfer the system to the backup component in the event of a failure. Given this information, the expected cost of failure if a backup is not added is GHS Blank 1. Fill in the blank, read surrounding text. Question 4 A company's final product is made up of one of Part 1 and two of Part 2, both of which can be produced with either Machine 1 or Machine 2. The table below gives information on the various cost relating the two machines under consideration for the two parts. The problem facing the company is which of the two machines to purchase. Machine 1 Machine 2 Part 1 Part 2 Part 1 Part 2 Weekly fixed cost (GH) 15,000 23,000 13,000 19,000 variable production cost per unit (GH) 4 5 6 4 raw material cost per unit (GH) 10 14 12 15 Given this information, i. the weekly demand that the company would be indifferent at purchasing either Machine l or Machine 2 is Blank 1. Fill in the blank, read surrounding text. units. ii. At this weekly demand, the total weekly cost on machine 1 is GH Blank 2. Fill in the blank, read surrounding text. iii. At this weekly demand, the total weekly cost on machine 2 is GH Blank 3. Fill in the blank, read surrounding text. iv. the machine to purchase if the company anticipates a weekly demand of 2000 units is machine Blank 4. Fill in the blank, read surrounding text. at a weekly total cost of GH Blank 5. Fill in the blank, read surrounding text. v. the machine to purchase if the company anticipates a weekly demand of 1300 units is machine Blank 6. Fill in the blank, read surrounding text. at a weekly total cost of GH Blank 7. Fill in the blank, read surrounding text