MARKETING STRATEGIES Two dentists, Lydia Russell and Jerry Carlton, are planning to establish practices in a newly developed community. Both have allocated approximately the same total budget for advertising in the local newspaper and for the distribution of fliers announcing their practices. Because of the location of their offices, Russell will get
a. Construct the payoff matrix for the game, and show that it is not strictly determined.
b. Find the optimal strategy for both Russell and Carlton.
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Chapter 9 Solutions
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- A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant Il gives similar $15 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints? The number of engines to send to plant I is The number of engines to send to plant II is What is the minimum shipping cost, subject to the given constraints? $ Next ptsarrow_forwardBhavika Investments, a group of financial advisors and retirement planners, is providing advice on how to invest $200,000 for one of its clients in the stock market and in money market funds. Each dollar invested in the stock market gives a return of 10% and each dollar invested in money market funds gives a return of 5%. However, there is risk involved: the risk measure for each dollar invested in the stock market is 12, and the risk measure for each dollar invested in the money market is 5. The table below summarizes the information just presented. Risk measure per investment dollar Percentage return per investment dollar Stock Market 12 10% Money market 5 5% The client has stipulated an annual return of at least $14,000 on his investments in the stock market and money market. Formulate a linear programming model for this situation that will minimize the risk of investing and solve it to find out how much should be invested in each market. check_circlearrow_forwardAdirondack Savings Bank (ASB) 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% for home loans, 12% for personal loans, and 9% for automobile loans. The bank’s planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. Assume that ASB has the original $1 million in new funds available and that the planning committee has agreed to relax the requirement that at least 40% of the new funds must be allocated to home loans by 1%. How much would the annual return change? How much would the annual percentage return change? Discuss. *arrow_forward
- Southwest Hospital has an operating room used only for eye surgery. The annual cost of rent, heat, and electricity for the operating room and its equipment is $360,000, and the annual salaries of the people who staff this room total $540,000. Each surgery performed requires the use of $760 worth of medical supplies and drugs. To promote good will, every patient receives a bouquet of flowers the day after surgery. In addition, one-quarter of the patients require dark glasses, which the hospital provides free of charge. It costs the hospital $30 for each bouquet of flowers and $40 for each pair of glasses. The hospital receives a payment of $2000 for each eye operation performed. 1. Identify the revenue per case and the annual fixed and variable costs for running the operating room. 2. How many eye operations must the hospital perform each year in order to break even? 3. Southwest Hospital currently averages about 70 eye operations per month. One of the nurses has just learned about a…arrow_forwardAdirondack Savings Bank (ASB) 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 5% for home loans, 13% for personal loans, and 7% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. (a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let H = amount allocated to home loans P = amount allocated to personal loans A = amount allocated to automobile loans Маx H + P + s.t. H + A 2 Minimum Home Loans P + AS Personal Loan…arrow_forwardYou work for a manufacturing company that decides to introduce a new product. If your company offers retailers a 35% discount off list price, what should the list price be to ensure that your company nets $1,600?arrow_forward
- A furniture company makes TABLE and CHAIR. Each TABLE requires 3 hours for carpentry work and 2 hour for painting. Each CHAIR requires 2 hours for carpentry and 1 hour for painting. The company has a maximum of 60 hours of carpentry work and 40 hours of painting available each week, and they make a profit of $15 per TABLE and $40 per CHAIR. Read the above scenario and answer the following questions. A. Formulate an appropriate LPP for the above scenario to find the maximum profit. B. Solve the LPP using graphical method to find the optimal solution. C. How many TABLE and CHAIR should they make to get maximum profit? please i need help to study. plz do all the three subpartsarrow_forwardSTL Furniture produces three types of chairs: A, B, C. These chairs sell for A-$1.250, B $800, C-$600, The general manager wants to determine how many chairs to build of each type during the next quarter. Model A requires 5 hours to build, while model b requires 4 hours and model C requires 3 hours, the company has 8000 labor hours available, and each hour of labor costs 75 dollars. In order to sell these chairs, the company has to pay a one-time licensing fee for the design which is different for each of the models: A-$125, B-$200, C-$100. In order to guarantee that there is enough variety available for customers, the company has decided to produce a minimum of 300 units for each model. Develop a linear model with binary variables that can be used to maximize the company's profit, correctly accounting for fixed costs and staying within resource availabilities. What is the profit for the optimal solution?arrow_forwardAdirondack Savings Bank (ASB) 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 6% for home loans, 10% for personal loans, and 11% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. (a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let H = amount allocated to home loans P = amount allocated to personal loans A = amount allocated to automobile loans Max s.t. Home Personal Automobile H + H + H + % H + P + P + P + P + (b)…arrow_forward
- Tech has three health care plans for its faculty and staff to choose from, as follows: Plan 1-monthly cost of $32, with a $500 deductible; the participants pay the first $500 of medical costs for the year; the insurer pays 90% of all remaining expenses. Plan 2-monthly cost of $5 but a deductible of $1,200, with the insurer paying 90% of medical expenses after the insurer pays the first $1,200 in a year. Plan 3-monthly cost of $24, with no deductible; the participants pay 30% of all expenses, with the remainder paid by the insurer. Tracy McCoy, an administrative assistant in the management science department, estimates that her annual medical expenses are defined by the following probability distribution: Annual Medical Expenses Probability S 100 .15 500 .30 1,500 .35 3,000 .10 5,000 .05 10,000 .05 Determine which medical plan Tracy should select.arrow_forwardJoshua is president of an accounting firm that has 10 employees. The only employee benefit provided by the firm is a paid two-week vacation for employees with one or more year of service. The firm’s profits have substantially increased, and Joshua would like to provide some additional benefits to the employees. Joshua needs advice concerning the types of benefits to provide. Joshua would like to provide health insurance benefits to the employees. What are the major types of Managed Care Plans that he might consider. Tip: HMO, PPO, and POS should be explainedarrow_forwardEvery month a clothing store conducts an inventory and calculates losses from theft. The store would like to reduce these losses and is considering two methods. The first is to hire a security guard, and the second is to install cameras. To help decide which method to choose, the manager hired a security guard for 6 months. During the next 6-month period, the store installed cameras. The monthly losses were recorded and are listed here. The manager decided that because the cameras were cheaper than the guard, he would install the cameras unless there was enough evidence to infer that the guard was better. What should the manager do? Security guard Cameras 355 284 401 398 477 254 486 303 270 386 411 435arrow_forward
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