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
Finite Mathematics for the Managerial, Life, and Social Sciences
- Adirondack 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_forwardKalamazoo Blooming Nursery is a small company specializing in selling flowers. They developed a new product called Flowers of the Month in which they would send a customer a different flower arrangement every month. KBN charged $52 a month for Flowers of the Month. KBN spent $60,000 on their marketing campaign last year, including advertising, which led to $94,000 extra profit over the year. They estimate that their extra sales last year from this campaign was $80,000 on their usual (baseline}sales of $450,000. From the campaign they acquired 43 subscribers to Flowers of the Month who continued to subscribe to Flowers of the Month for an average of 4 years. What is the lift from this campaign? (Note: multiply answer by 100 to represent %) Your Answer:arrow_forwardSouthwest 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_forward
- Adirondack 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_forwardA 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_forward
- Adirondack 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_forwardIn preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $32 per doll. During the holiday selling season, FTC will sell the dolls for $40 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Determine the equation for computing FTC's profit for given values of the…arrow_forwardIn preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Create a what-if spreadsheet model using a formula that relates the…arrow_forward
- A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile Sharearrow_forwardGiapetto is thinking of buying a new cutting tool for $20 to make toy soldiers and a new clamping tool for $15 to make toy trains. If he does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and using an old clamping tool leads to 20% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left- over inventory) and productions costs are as follows: 1. Soldiers 2. Trains Demand (units/week) Production cost ($/unit) 400 300 7 17 There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above description and defined the following decision variables: • xi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively. Considering the above problem…arrow_forwardA financial manager has to invest $ 200000 in two options, one risky with a return of 20% and second less risky with a return of 10% per year. If the goal is to make $ 32000 at the end of the year what should be distribution of the money in both options.arrow_forward
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