30 multiple Qs and Key

When a constraint line bounding a feasible region has the same slope as an isoprofit line: (Points : 5) there may be more than one optimum solution. the problem involves redundancy. an error has been made in the problem formulation. a condition of infeasibility exists. none of the above. 2. Assume that we are using a waiting line model to analyze the number of service technicians required to maintain machines in a factory. Our goal should be to: (Points : 5) maximize productivity of the technicians. minimize the number of machines needing repair. minimize the downtime for individual machines. minimize the percent of idle time of the technicians. minimize the total cost of maintenance plus cost of downtime. 3. Rose Arena is the production manager for a manufacturing firm that produces buggy whips and other items. The annual demand for a particular buggy whip is 1,600 units. The holding cost is $2 per unit per year. The cost of setting up the production line is $25. There are 200 working days per year. Rose decided to produce 200 units each time she started production of the buggy whips. If it took her 4 days to produce the 200 units, what was her production rate? (Points : 5) 80 units/day 60 units/day 40 units/day 100 units/day none of the above 4. A linear program has been solved and sensitivity analysis has been performed. The ranges for the objective function coefficients have been found. For the profit on, the upper bound is 100, the lower bound is 75, and the current value is 80. If the profit on is increased to 120, then: (Points : 5) the values for all of the decision variables will remain the same. other values will change, but the original corner point remains optimal. a new corner point will become optimal. none of the above. 5. A person is using the normal distribution to determine the safety stock for a product. The “z” value of 2.32 would be associated with what service level? (Points : 5) 95 percent 97.5 percent 98 percent 99 percent none of the above 6. Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what proportion of the time is the server busy? (Points : 5) 0.43 0.57 0.75 0.25 0.33 7. The annual demand for a product has been projected to be 2,000 units. This demand is assumed to be constant throughout the year. The ordering cost is $20 per order, and the holding cost is 20 percent of the purchase cost. Currently, the purchase cost is $40 per unit. There are 250 working days per year. Whenever an order is placed, it is known that the entire order will arrive on a truck in six days. If the total holding cost for the year is $2,000, how many units does the company order at a time? (Points : 5) 300 400 500 600 none of the above 8. A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What proportion of time are both clerks idle? (Points : 5) 0.643 0.250 0.750 0.143 9. Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers in the system? (Points : 5) 0.43 1.67 0.57 1.33 none of the above 10. When using Excel’s Solver to input and solve a linear programming problem, it is essential that one perform an additional task before submitting the formulation. That important additional function is: (Points : 5) guessing the values of the variables. putting in a value for the objective function. choosing the options for assuming both a linear model and non-negative variables. resetting the parameters. none of the above. 11. An arrival in a queue that reneges is one who: (Points : 5) after joining the queue, becomes impatient and leaves. refuses to join the queue because it is too long. goes through the queue, but never returns. jumps from one queue to another, trying to get through as quickly as possible. none of the above. 12. With an annual demand of 2,400 units, daily demand of 10 units, and daily production rate of 40 units, a company has determined that each production run will be for 200 units. If production starts when the inventory level is at zero, how many units would actually be in the warehouse at the end of the first day of production? (Round answer to nearest unit) (Points : 5) 12 20 30 40 none of the above 13. The most appropriate cost to be considered in making a waiting line decision is the: (Points : 5) expected service cost expected waiting cost total expected cost expected balking cost expected reneging cost 14. CPM: (Points : 5) assumes we do not know ahead of time what activities must be completed. is opposite to that of PERT, as it does not consider the network activities. is a network technique that allows three time estimates for each activity in a project is a deterministic network technique that allows for project crashing. none of the above. 15. Which of the following is not true about arrivals? (Points : 5) Arrivals that are independent of each other are random. Random arrivals cannot be predicted exactly. The Poisson distribution is often used to represent arrival pattern. The exponential distribution is often used to represent arrival patterns. 16. Given an activity’s optimistic, most likely, and pessimistic time estimates of 4, 12, and 18 days respectively, compute the PERT variance for this activity. (Points : 5) 2.33 5.44 8.00 64.00 none of the above 17. Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probability that the project is finished in 70 weeks or less (round to two decimals)? (Points : 5) 0.98 0.48 0.50 0.02 none of the above 18. The term queue discipline describes the: (Points : 5) degree to which members of the queue renege. sequence in which members of the queue arrived. degree to which members of the queue are orderly and quiet. sequence in which members of the queue are serviced. all of the above. 19. Which of the following is usually the most difficult cost to determine? (Points : 5) Service cost Facility cost Calling cost Waiting cost None of the above 20. Given an activity’s optimistic, most likely, and pessimistic time estimates of 3, 6, and 9 days respectively, compute the PERT variance for this activity. (Points : 5) 3 1 9 6 none of the above 21. For a local hardware store, the total service cost is $10 per hour per employee and the waiting cost is $8 per hour per customer. Customers arrive at a rate of 20 per hour. On average a customer waits a total of 6 minutes. If a single clerk is employed, what is the total cost of the system? (Points : 5) $26.00 $106.00 $16.00 $10.60 none of the above 22. In a PERT network, the earliest (activity) start time is the: (Points : 5) earliest time that an activity can be finished without delaying the entire project. latest time that an activity can be started without delaying the entire project. earliest time that an activity can start without violation of precedence requirements. latest time that an activity can be finished without delaying the entire project. none of the above. 23. The EOQ model without the instantaneous receipt assumption is commonly called the: (Points : 5) quantity discount model. safety stock model. planned shortage model. production run model. none of the above. 24. Which of the following is not a use of inventory? (Points : 5) the decoupling function the translucent function an inflation hedge allows for quantity discounts to avoid stockouts and shortages 25. Daniel Trumpe has computed the EOQ for a product he sells to be 400 units; however, due to recent events he has a cash flow problem. Therefore, he orders only 100 units each time he places an order. Which of the following is true for this situation? (Points : 5) Total ordering cost will be higher than total holding cost. Total ordering cost will be lower than total holding cost. Total ordering cost will equal total holding cost. Nothing can be determined without more information. None of the above. 26. Determining the most efficient allocation of resources to the production of goods, etc., is characteristic of the LP problem type known as: (Points : 5) production scheduling. labor planning. assignment. blending. none of the above. 27. Consider the following linear programming problem: Maximize 4X + 10Y Subject to: 3X + 4Y <= 480 and 4X + 2Y = 0 The feasible corner points are (48,84), (0,120), (0,0), (90,0). What is the maximum possible value for the objective function? (Points : 5) 1032 1200 360 none of the above 28. Rolf Steps is the production manager for a local manufacturing firm. This company produces staplers and other items. The annual demand for a particular stapler is 1,600 units. The holding cost is $2 per unit per year. The cost of setting up the production line is $25. There are 200 working days per year. The production rate for this product is 80 per day. If Rolf decided to produce 200 units each time he started production of the stapler, what would his maximum inventory level be? (Points : 5) 200 180 100 90 none of the above 29. At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is: (Points : 5) 4 minutes 6 minutes 8 minutes 10 minutes none of the above 30. As order size increases, total: (Points : 5) inventory costs will increase, reach a maximum and then quickly decrease. inventory cost will decrease, reach a minimum and then increase. ordering costs will initially increase while total carrying cost will continue to decrease. carrying cost decreases while the total ordering cost increases.