Demand for jelly doughnuts on Saturdays at Don’s Doughnut Shoppe is shown in the following table.Determine the optimal number of doughnuts, in dozens, to stock if labor, materials, and overhead areestimated to be $3.20 per dozen, doughnuts are sold for $4.80 per dozen, and leftover doughnuts atthe end of each day are sold the next day at half price. What is the resulting service level?Demand(dozens)RelativeFrequencyDemand(dozens)RelativeFrequency19 .01 25 .1020 .05 26 .1121 .12 27 .1022 .18 28 .0423 .13 29 .0224 .14

Demand for jelly doughnuts on Saturdays at Don’s Doughnut Shoppe is shown in the following table.Determine the optimal number of doughnuts, in dozens, to stock if labor, materials, and overhead areestimated to be $3.20 per dozen, doughnuts are sold for $4.80 per dozen, and leftover doughnuts atthe end of each day are sold the next day at half price. What is the resulting service level?Demand(dozens)RelativeFrequencyDemand(dozens)RelativeFrequency19 .01 25 .1020 .05 26 .1121 .12 27 .1022 .18 28 .0423 .13 29 .0224 .14

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Description: Demand for jelly doughnuts on Saturdays at Don’s Doughnut Shoppe is shown in the following table.Determine the optimal number of doughnuts, in dozens, to stock if labor, materials, and overhead areestimated to be $3.20 per dozen, doughnuts are sold f

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 68P

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Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 Of the four categories of variables, which one seems to be the most central to Ski Butternuts segmentation strategy, and why?
Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 What role do geographic variables play in Ski Butternuts segmentation and targeting?
Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 How is Ski Butternut applying behavioristic variables in its segmentation strategy? Explain your answer.
The Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily shipments of farm-raised trout from a nearby supplier. Each trout costs $2.45 and is sold for $3.95. To maintain its reputation for freshness, at the end of the day TFH sells any leftover trout to a local pet food manufacturer for $1.25 each. The owner of TFH wants to determine how many trout to order each day. Historically, the daily demand for trout is: Demand 10 11 12 13 14 15 16 17 18 19 20 Probability 0.02 0.06 0.09 0.11 0.13 0.15 0.18 0.11 0.07 0.05 0.03 a. Construct a payoff matrix for this problem. b. How much should the owner of TFH be willing to pay to obtain a demand forecast that is 100% accurate? give a clear explanation for (b)
HERO Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of pesos) depends on demand as follows: Demand Demand Demand Staffing Options High Medium Low Own staff 352 325 300 Outsider vendor 450 300 150 Combination 400 325 250 If the decision maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using:i. the optimistic approach and the conservative approach iii. the minimax regret approach iv. the Laplace method
Suppose the utility function for goods x and y is given by U(x,y) = xy + y4.1. Calculate the uncompensated (Marshallian) demand functions for x and y and describe how the demand curves for x and y are shifted by changes in I or the price of the other good.4.2. Calculate the expenditure function for x and y.4.3. Use the expenditure function calculated in (4.2) to compute the compensated demand functions for goods x and y. Describe how the compensated demand curves for x and y are shifted by changes in income or by changes in the price of the other good.4.4. Given money income = 6, px = 2, py = 2, calculate CV, EV, and consumer surplus when px becomes 4.
The following table lists the demand for Betty’s Deluxe Chocolate Chip Muffins. Unsold muffins are given to a food bank with a salvage value of $1.00 per muffin. The cost is $2.50 per muffin. The muffins sell for $3.50 each. Using the single-period model, what is the optimal order quantity in number of muffins the supermarket should order? Quantity Probability Cumulative Probability 5 0.2 0.2 6 0.3 0.5 7 0.4 0.9 8 0.1 1.02.5 a. 7 b. 6 c. 5 d. 8 e. None of these are correct
I need a detailed explanation and assistance to solve this problem: Wineco produces wine cooler as a blend of wine, grape juice and apple juice ingredients, which it sells for $4 per gallon. The costs of ingredients are given in the following table: Cooler Ingredient Price per Gallon ($) wines 1.20 grape juice 1.40 Apple juice 0.60 Wineco owns a blending plant with a production capacity of 200 gallons per day. Because the plant is fully automated, all other production costs are negligible by comparison to the cost of ingredients, and can be ignored. Government regulations mandate that wine cooler products must satisfy the following guidelines: At least 10% of the blend produced must be grape juice. The ratio of apple juice to grape juice in the blend produced must be 2.5:1 The blend produced must contain between 20% and 25% wine. Wineco wishes to use LP in order to determine the quantities of ingredients to buy for a day’s production of wine cooler, so…
The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows: January 1,400 May 2,200 February 1,600 June 2,300 March 1,600 July 1,700 April 1,900 August 1,300 Her operations manager is considering a new plan, which begins in January with 200 units on hand and ends with zero inventory. Stockout cost of lost sales is $125 per unit. Inventory holding cost is $25 per unit per month. Ignore any idle-time costs. The plan is called plan B. Plan B: Produce at a constant rate of 1,300 units per month, which will meet minimum demands. Then use subcontracting, with additional units at a premium price of $80 per unit. Subcontracting capacity is limited to 1,000 units per month. Evaluate this plan by computing the costs for January through August. Part 2 In order to arrive at the costs, first compute the ending inventory and subcontracting units for each month by…
The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows: January 1,400 May 2,200 February 1,600 June 2,300 March 1,600 July 1,700 April 1,900 August 1,300 Her operations manager is considering a new plan, which begins in January with 200 units on hand and ends with zero inventory. Stockout cost of lost sales is $125 per unit. Inventory holding cost is $25 per unit per month. Ignore any idle-time costs. The plan is called plan B. Plan B: Produce at a constant rate of 1,300 units per month, which will meet minimum demands. Then use subcontracting, with additional units at a premium price of $80 per unit. Subcontracting capacity is limited to 1,000 units per month. Evaluate this plan by computing the costs for January through August. Part 2 In order to arrive at the costs, first compute the ending inventory and subcontracting units for each month by…
The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows: January 1,400 May 2,100 February 1,500 June 2,300 March 1,800 July 1,900 April 1,700 August 1,400 Her operations manager is considering a new plan, which begins in January with 200 units on hand and ends with zero inventory. Stockout cost of lost sales is $125 per unit. Inventory holding cost is $20 per unit per month. Ignore any idle-time costs. The plan is called plan B. Plan B: Produce at a constant rate of 1,400 units per month, which will meet minimum demands. Then use subcontracting, with additional units at a premium price of $80 per unit. Subcontracting capacity is limited to 900 units per month. Evaluate this plan by computing the costs for January through August. In order to arrive at the costs, first compute the ending inventory and subcontracting units for each month by filling…
The Sofaworld Company purchases upholstery materialfrom Barrett Textiles. The company uses 45,000 yards ofmaterial per year to make sofas. The cost of ordering material from the textile company is $1,500 per order. It costsSofaworld $0.70 per yard annually to hold a yard of material in inventory. Determine the optimal number of yards ofmaterial Sofaworld should order, the minimum total inventory cost, the optimal number of orders per year, and theoptimal time between orders.