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project managers

Questions and Answers of Project Managers

The final production schedule and loom assignments for each fabric.
Recommendations regarding the hiring and training plan that will minimize the salary and training costs over the February through August period as well as answers to these questions: What is the
The incremental salary and training cost associated with putting a current employee through the training programme. (Don’t forget that a replacement must be hired when the current employee enters
The incremental salary and training cost associated with hiring a new employee and training him/her to be a laptop specialist.
What is your recommendation for the advertising campaign?
After reviewing HJ’s recommendation, the restaurant’s management team asked how the recommendation would change if the objective of the advertising campaign was to maximize the number of
A discussion of the ranges for the objective function coefficients. What do the ranges indicate about how sensitive the recommended solution is to HJ’s exposure rating coefficients?
How would the total exposure change if an additional R10 000 were added to the advertising budget?
A schedule showing the recommended number of television, Internet and newspaper advertisements and the budget allocation for each media. Show the total exposure and indicate the total number of
a. Because of scheduling conflicts in other markets, suppose that Leisure Air is only able to obtain one Boeing 757–200. Should the larger plane be based in Glasgow or in Edinburgh? Explain.b.
Reconsider the Leisure Air problem from Section 4.5. The demand forecasts shown in Table 4.16 represent Leisure Air’s best estimates of demand. But, because demand cannot be forecasted perfectly,
The Quick and Easy operates five fast-food restaurants in the UK. Input measures for the restaurants include weekly hours of operation, full-time equivalent staff and weekly supply expenses. Output
Western Family Restaurant offers a variety of low-cost meals and quick service. Other than management, the restaurant operates with two full-time employees who work eight hours per day. The rest of
EZ-Windows manufactures replacement windows for the home renovation business. In January, the company produced 15 000 windows and ended the month with 9000 windows in inventory. EZ-Windows management
Jansson Cabinets received a contract to produce loud speaker cabinets for a major hi-fi manufacturer. The contract calls for the production of 3300 bookshelf speakers and 4100 floor speakers over the
Filtron Corporation produces filtration containers used in water treatment systems. Although business has been growing, the demand each month varies considerably. As a result, the company utilizes a
The Silver Star Bicycle Company in India will be manufacturing both men’s and women’s models for its Easy-Pedal ten-speed bicycles during the next two months. Management wants to develop a
The Two-Rivers Oil Company near Pittsburgh transports gasoline to its distributors by truck. The company recently contracted to supply gasoline distributors in southern Ohio, and it has $600 000
Frandec Company manufactures, assembles and rebuilds material handling equipment used in warehouses and distribution centres. One product, called a Liftmaster, is assembled from four components: a
Seastrand Oil Company produces two grades of fuel: regular and high octane. Both fuels are produced by blending two types of crude oil. Although both types of crude oil contain the two important
Romans Food Market, located in Italy, carries a variety of speciality foods from around the world. Two of the store’s leading products use the Romans Food Market name: Romans Regular Coffee and
Determine the optimal buying-storing-selling strategy for ASC. What is the projected four-week profit?
The Atlantic Seafood Company (ASC) is a buyer and distributor of seafood products that are sold to restaurants and speciality seafood outlets throughout the Western Europe. ASC has a frozen storage
A local hospital purchases two types of drug from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the hospital’s needs. In addition, the suppliers
Reconsider the Welte Mutual Funds problem from Section 4.5. Define your decision variables as the fraction of funds invested in each security. Also, modify the constraints limiting investments in the
The North Somerset Police’s Department schedules police officers for eight-hour shifts. The start times for the shifts are 8:00 A.M., noon, 4:00 P.M., 8:00 P.M., midnight and 4:00 A.M. An officer
Kunz and Sons manufactures two products used in the heavy equipment industry. Both products require manufacturing operations in two departments. The following are the production time (in hours) and
Ajax Fuels is developing a new additive for aeroplane fuels. The additive is a mixture of three ingredients: A, B and C. For proper performance, the total amount of additive (amount of A + amount of
The individual ratings of the aroma and taste for coffee made from 100 per cent of each bean are as follows. Bean Aroma Rating Taste Rating 1 75 86 2 85 88 3 60 75 Assume that the aroma and taste
Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per kilo and the available kilos of each bean are as follows: Bean Cost per kilo Available kilos 1 E0.50
b. In calculating the profit contribution per unit, management doesn’t deduct labour costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be
The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labour availability, labour
The Uppsala Chamber of Commerce periodically sponsors public service seminars and programmes. Currently, promotional plans are under way for this year’s programme. Advertising alternatives include
The individual ratings of the aroma and taste for coffee made from 100 per cent of each bean are as follows. Bean Aroma Rating Taste Rating 1 75 86 2 85 88 3 60 75 Assume that the aroma and taste
Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per kilo and the available kilos of each bean are as follows: Bean Cost per kilo Available kilos 1 E0.50
b. In calculating the profit contribution per unit, management doesn’t deduct labour costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be
The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labour availability, labour
The Uppsala Chamber of Commerce periodically sponsors public service seminars and programmes. Currently, promotional plans are under way for this year’s programme. Advertising alternatives include
The investment in Pacific Oil, the high-return but high-risk investment, cannot be more than 60 per cent of the total oil industry investment.
Government bonds should be at least 25 per cent of the steel industry investments.
Neither industry (oil or steel) should receive more than E50
At least 60 per cent of the interviews for households without children must be conducted during the evening.
At least 40 per cent of the interviews for households with children must be conducted during the evening.
The total number of households interviewed during the evening must be at least as great as the number of households interviewed during the day.
Interview at least 400 households without children.
Interview at least 400 households with children.
Interpret the solutions to common LP problems
Formulate complex LP problems
Recognize common application areas for LP
The asset allocation model you developed may be useful in modifying the portfolios for all of the firm’s clients whenever the anticipated yields for the three funds are periodically revised. What
Assume that the client expressed some concern about having too much money in the growth fund. How would the original recommendation change if the amount invested in the growth fund is not allowed to
Refer again to the original situation where the client’s risk index was assessed to be 0.05. How would your investment recommendation change if the annual yield for the growth fund were revised
Assume that the client’s risk index could be increased to 0.055. How much would the yield increase and how would the investment recommendation change?
Recommend how much of the E800 000 should be invested in each of the three funds. What is the annual yield you anticipate for the investment recommendation?
Recommendations on how profit contribution could be increased (if at all) if TJ’s does not satisfy all existing orders.
A recommendation as to whether TJ’s should purchase an additional 1000 kilos of almonds for E1000 from a supplier who overbought.
Recommendations regarding how the total profit contribution can be increased if additional quantities of nuts can be purchased.
The optimal product mix and the total profit contribution.
The cost per kilo of the nuts included in the Regular, Deluxe and Holiday mixes.
The programme manager for Channel 10 would like to determine the best way to allocate the time for the 11:00-11:30 evening news broadcast. Specifically, she would like to determine the number of
Abu Dhabi Savings Bank (ADSB) has $1 million in new funds that must be allocated to home loans, personal loans and automobile loans. The annual rates of return for the three types of loans are 7 per
Round Tree Manor is a hotel that has two types of rooms with three rental classes: Super Saver, Deluxe and Business. The profit per night for each type of room and rental class is as follows: Rental
Would this help or hurt profit? Explain.
A maximum of 100 hours of overtime can be scheduled. Marketing requirements specify a minimum production of 100 suits and 75 sport coats. S = number of suits produced SC = number of sport coats
For the coming week, 200 hours of cutting time, 180 hours of sewing time and 1200 metres of fabric are available. Additional cutting and sewing time can be obtained by scheduling overtime for these
Each sport coat requires 0.8 hours of cutting time and 0.6 hours of sewing time, uses four metres of material, and provides a profit contribution of
Tucker Inc. produces high-quality suits and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours of sewing time, uses six metres of material, and provides a profit
Refer to the computer solution of Problem 15 in Figure 3.19.a. Interpret the ranges of optimality for the objective function coefficients.b. Suppose that the manufacturing cost increases to 11.20 per
Digital Controls, Inc. (DCI), manufactures two models of a radar speed device used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus one km per hour, whereas the
Refer to the computer solution of Problem 13 in Figure 3.18.a. Identify the range of optimality for each objective function coefficient.b. Suppose the profit for the economy model is increased by 6
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model and a deluxe model. The profits per unit are 63, 95 and 135, respectively. The production
Letting: W jars of Western Foods Salsa M = jars of Mexico City Salsa leads to the formulation: Max 1W+1.25M s.t 104W+ 196M 280000 Whole tomatoes 84W+28M 130000 Tomato sauce 56W+56M 100000 Tomato
Recall the Miguel's problem in Chapter 2, Problem
a. How much would the estimated per-share return for United Oil have to increase before it would be beneficial to increase the investment in this stock?b. How much would the estimated per-share
Refer to Figure 3.16, which shows the computer solution of Problem
In addition, the portfolio is limited to a maximum of 1000 shares of United Oil. The linear programming formation that will maximize the total annual return of the portfolio is as follows: Max 3U+ 5H
Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of United Oil and H shares of Huber Steel. The annual
Refer to the computer solution in Figure 3.15 (see Problem 8).a. Calculate the ranges of optimality for the objective function coefficients.b. Interpret the ranges in part (a).c. Interpret the range
Find the new optimal solution. Recall the GulfGolf glove problem (Chapter 2, Problem 13). Letting: R = number of regular gloves P= number of professional gloves leads to the following formulation:
Find the new optimal solution.b. Suppose the objective function coefficient of x, is increased to 3 and the objective function coefficient of x2 is decreased to
Ba. Suppose the objective function coefficient of x, is increased to 3 and the objective function coefficient of x2 is increased to
Calculate and interpret the dual prices for the constraints.
Refer to Problem
Consider the following linear programme: Min x1 þ x2 s:t x1 þ 2x2 7 2x1 þ x2 5 x1 þ 6x2 11 x1; x2 0a. Solve this problem using the graphical solution procedure.b. Calculate the range of
Calculate the dual prices for constraints 1 and 2 and interpret them.
Refer to Problem
What is the new optimal solution?
Explain the management implications of sensitivity analysis.leads to the formulation: Max 40F þ 30S s:t 2 /5F þ 1 /2 S 20 Material 1 1 /2 S 5 Material 2 3 /5F þ 3 /10 S 21 Material 3 F; S
Undertake graphical sensitivity analysis l Undertake sensitivity analysis using computer output.
Explain the importance of sensitivity analysis in linear programming.
Suppose that in part (1) management specified the objective of maximizing the total number of printers produced each shift rather than total profit contribution. With this objective, how many units
Management wants to limit the difference between the total time on line 1 and the total time on line 2 to 30 minutes or less. If the objective is still to maximize the total contribution to profit,
Management requested an expansion of the model in part (2) that would provide a better balance between the total time on line 1 and the total time on line.
Does the solution you developed in part (2) balance the total time spent on line 1 and the total time spent on line 2? Why might this balance or lack of it be a concern to management?
Suppose that management also states that the number of DI-910 printers produced must be at least as great as the number of DI-950 units produced. Assuming that the objective is to maximize the total
The recommended number of units of each printer to produce to maximize the total contribution to profit for an eight-hour shift. What reasons might management have for not implementing your
Consider the following linear programme: Min 2x1 + 2x2a. show the feasible region. s.t. 1x + 3x2 12 3x1 + 1x2 13 1x11x2=3 X1, X2 0b. what are the extreme points of the feasible region?c. Find the
For the linear programme Min 6x1 + 4x2 s.t. 2x1 + 1x2 12 1x1 + 1x2 10 1x2 4 X1, X2 0a. Write the linear programme in standard form.b. Find the optimal solution using the graphical solution
Management of High Tech Services (HTS) would like to develop a model that will help allocate their technicians’ time between service calls to regular contract customers and new customers. A maximum

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