Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Business Analytics
7th Edition
ISBN: 9781285418681
Author: Cliff Ragsdale
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 32QP
a)
Summary Introduction
To formulate: A linear programming model for the problem.
b)
Summary Introduction
To develop: A spreadsheet model and solve using solver.
c)
Summary Introduction
To identify: The optimal solution.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8 million viewers, while each episode of American Dad was typically watched by 1.5 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 30 commercial spots during episodes of WWE Entertainment and American Dad. You have been quoted a price of $4,000 per spot for WWE Entertainment and $1,000 per spot for American Dad. Gauss Jordan, Inc.'s advertising budget for TV commercials is $130,000, and it would like at least 75% of the total number of spots to appear on WWE Entertainment. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.)
WWE ______ Spots
American Dad _______ spots
GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special
aeration treatment as a low-cost extra service option, which it hopes will help attract new
customers. Management is planning to promote this new service in two media: radio and direct-mail
advertising. A media budget of $4 (in thousands)is available for this promotional campaign. Based on-
past experience in promoting its other services, GreenLawns has obtained the following estimate of
the relationship between sales and the amount spent on promotion in these two media:
S-2R2-12M2-9RM
+ 20R +37M,
Where
S = total sales
R = amount spent on radio advertising
M = amount spent on direct-mail advertising
GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to
the restriction provided by the media budget.
The problem is formulated as below:
Max
-2R2-12M²-9RM+20R+37M
s.t.
1R+1M=0
Using Excel Solver, solve the above nonlinear optimization model.
(a) What…
Digital Controis, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the
smaller model B has an accuracy of plus or minus 3 miles per hour.
For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both
models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3
minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time avallable and 1,080 minutes of assembly time availab
The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time avalable at the Newark plant, DCI occasionally…
Chapter 3 Solutions
Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Business Analytics
Ch. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QPCh. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QP
Ch. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Tuckered Outfitters plans to market a custom brand...Ch. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - A manufacturer of prefabricated homes has decided...Ch. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - A natural gas trading company wants to develop an...Ch. 3 - Prob. 45QPCh. 3 - Prob. 46QPCh. 3 - The CFO for Eagle Beach Wear and Gift Shop is in...Ch. 3 - Prob. 48QPCh. 3 - Prob. 1.1CCh. 3 - Prob. 1.2CCh. 3 - Prob. 1.3CCh. 3 - Prob. 1.4CCh. 3 - Prob. 2.1CCh. 3 - Prob. 2.2CCh. 3 - Prob. 2.3CCh. 3 - Prob. 2.4CCh. 3 - Prob. 2.5CCh. 3 - Kelly Jones is a financial analyst for Wolverine...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, management and related others by exploring similar questions and additional content below.Similar questions
- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?arrow_forwardThe Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.arrow_forwardThe Marketing Manager of Dotcom Limited has conducted a market research on the price-demand relationship for its consumer durable Product-V which has been recently launched. The price-demand pattern will be as follows: Price per unit (Rs.) 16.650 16.050 14.400 13.050 Product-V is manufactured in batches of 1.000 units. The production manager of Dotcom Limited has also researched and studies the pattern and believes that 50% of the variable manufacturing cost would have a learning effect. This learning curve effect will continue up to 4.000 units of production at constant rate But after 4.000 units of production unit variable manufacturing cost would be equal to the unit cost at the 4 batch. The manufacturing unit cost of the first batch will be Rs. 6.600 of which only 50% is subjected to learning and experience curve effect. The average unit variable of all 4 batches will be Rs 6.180 The price and maximum contribution at which Dotcom Limited should sell Product-V is: Rs.14,400, Rs.…arrow_forward
- Long-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsarrow_forwardMichael is the marketing executive of SHOPEE and he is planning to launch the 2.2.22 online SALE through price discounts, either 40% off or 20% off. He also learned that SHOPEE closest competitor LAZADA , is planning to promote also a 2.22.22 online SALE with price discounts , either 50% off or 30% off. If SHOPEE launches the 40% off, it will gain nothing. If LAZADA launches the 50% off or gain 8,000,000 if LAZADA launches the 30% off. If SHOPEE launches the 20% off, it will lose 2,000,000 if LAZADA launches the 50% off or lose 5,000,000 if LAZADA launches the 30% off. 1.Which strategy is dominated by SHOPEE depending on strategy of LAZADA? A. 50% OFF B. 40% OFF C. 20% OFF D. 30% OFF E. NONE 2.What should be the strategy of LAZADA? A. 50% OFF B. 40% OFF C. 30% OFF D. 20% OFFarrow_forwardA Las Vegas, Nevada, manufacturer has the option to make or buy one of its component parts. The annual requirement is 20,000 units. A supplier is able to supply the parts for $10 per piece. The firm estimates that it costs $600 to prepare the contract with the supplier. To make the parts in-house, the firm must invest $50,000 in capital equipment, and the firm estimates that it costs $8 per piece to make the parts in-house. Assuming that cost is the only criterion, use breakeven analysis to determine whether the firm should make or buy the item. 1. What is the breakeven quantity? 2. Should the manufacturer Make or Buy? 3. What is the cost savings using your decision in number 2 (above)? Show the total cost for each scenario then the savings amount.arrow_forward
- The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Online 100,000 16,000 35,000 Audience per advertisement Cost per advertisement $1,500 $250 $650 Maximum media usage 10 24 14 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited…arrow_forwardGreenLawns provides a lawn fertilizer and weed control service. The company is adding a special aeration treatment as a low-cost extra service option, which it hopes will help attract new customers. Management is planning to promote this new service in two media: radio and direct-mail advertising. A media budget of $2,500 is available for this promotional campaign. Based on past experience in promoting its other services, GreenLawns obtained the following estimate of the relationship between sales and the amount spent on promotion in these two media. S = −2R2 − 10M2 − 8RM + 18R + 34M where S = total sales in thousands of dollars R = thousands of dollars spent on radio advertising M = thousands of dollars spent on direct-mail advertising. GreenLawns would like to develop a promotional strategy that will lead to maximum sales subject to the restriction provided by the media budget. (a) What is the value of sales (in dollars) if $1,500 is spent on radio advertising and $1,000 is…arrow_forwardThe Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Online Audience per advertisement 100,000 18,000 40,000 Cost per advertisement $2000 $300 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. If the promotional budget is limited to $18,200, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media? Let T = number of television spot advertisements R = number of…arrow_forward
- Tropicana is a major producer of orange juice. Different consumers have different valuations for Tropicana orange juice. Twenty-five percent of consumers value a 64 oz carton of juice at $6; while the remaining seventy-five percent value the same carton at $4. In common with many producers of consumer products, Tropicana often distribute coupons. The first group of consumers (the $6 valuation group) dislike the hassle associated with coupons; their disutility from keeping track of a coupon is $1. In contrast, the second group do not greatly mind dealing with coupons, and suffer a disutility of only 15c.(Here, "disutility" is simply a fancy way of saying dislike, with dislike measured in dollar terms.)Tropicana’s marginal cost of producing and distributing the juice is $3. Part (a)What pricing strategy do you suggest that Tropicana adopt Part (b) Tropicana doesn’t distribute coupons in an electronic form that could be stored by a smart phone. Briefly explain why notarrow_forwardAs part of a campaign to promote its annual clearance sale, Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's television advertising budget is $111,000. Morning time costs $3000/min, afternoon time costs $1000/min, and evening (prime) time costs $12,000/min. Because of previous commitments, KAOS cannot offer Excelsior more than 6 min of prime time or more than a total of 25 min of advertising time over the 2 weeks in which the commercials are to be run. KAOS estimates that morning commercials are seen by 200,000 people, afternoon commercials are seen by 100,000 people, and evening commercials are seen by 600,000 people. How much morning, afternoon, and evening advertising time should Excelsior buy to maximize exposure of its commercials? morning min afternoon min evening minarrow_forwardManagement of AG Travel and Tour has identified two groups of individuals that would be interested in the vacation package consisting of room and board and/or entertainment. The maximum amount that group 1 is willing to pay for room and board is GHC 2500 and for entertainment is GHC 500. For group 2, the maximum amount they are willing to pay for room and board is GHC 1800 and for entertainment is GHC 750. Although AG Travel and Tour is not able to identify members of either group, it does know that each group values the components of the package differently. Assuming there are an equal number of members in each group and that the total membership in each group is a single individual. If the marginal cost of providing the service (room and board and/or entertainment) to each group is GHC 1000. What will be the profit for AG Travel and Tour in the case of (iii) above?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,