Open in App
Log In Start studying!

Select your language

Suggested languages for you:

Gordon Grimes, a self-employed consultant near Atlanta, received an invitation to visit a prospective client in Seattle. A few days later, he received an invitation to make a presentation to a prospective client in Denver. He decided to combine his visits, traveling from Atlanta to Seattle, Seattle to Denver, and Denver to Atlanta. Grimes received offers for his consulting services from both companies. Upon his return, he decided to accept the engagement in Denver. He is puzzled over how to allocate his travel costs between the two clients. He has collected the following data for regular round-trip fares with no stopovers: Grimes paid \(\$ 900\) for his three-leg flight (Atlanta-Seattle, Seattle- Denver, Denver-Atlanta). In addition, he paid \(\$ 45\) each way \((\$ 90\) total ) for limousines from his home to Atlanta Airport and back when he returned. 1\. How should Grimes allocate the \(\$ 900\) airfare between the clients in Seattle and Denver using (a) the stand-alone cost-allocation method, (b) the incremental cost-allocation method, and (c) the Shapley value method? 2\. Which method would you recommend Grimes use and why? 3\. How should Grimes allocate the \(\$ 90\) limousine charges between the clients in Seattle and Denver?

Short Answer

Expert verified
Using the stand-alone cost-allocation method, Grimes should allocate the airfare between the clients based on the proportion of their round-trip fares (\(x\) for Seattle and \(y\) for Denver). For the incremental cost-allocation method, the airfare should be allocated \(300\) for Seattle and \(600\) for Denver. As for the Shapley value method, it should be an average of the stand-alone and incremental methods, resulting in \(\frac{1}{2} * \left(\displaystyle \frac{x}{x + y} * \$900 + \$300 \right)\) for Seattle and \(\frac{1}{2} * \left(\displaystyle \frac{y}{x + y} * \$900 + \$600 \right)\) for Denver. We recommend Grimes use the Shapley value method as it's a fair and balanced approach. For the limousine charges, we recommend allocating the charges equally at \(45\) per client.
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Over 22 million students worldwide already upgrade their learning with Vaia!

Step 1: Calculate Round-Trip Distances

First, we need to find the round-trip distances between each pair of cities: - Atlanta (A) to Seattle (S) to Atlanta (A) - Atlanta (A) to Denver (D) to Atlanta (A) Since we are not given the actual distances, we will use the fares as a proxy for distance. - Round-trip fare from Atlanta to Seattle: \(\textrm{FA - S}\) - Round-trip fare from Atlanta to Denver: \(\textrm{FA - D}\)

Step 2: Determine Stand-Alone Method Allocation

For the stand-alone cost allocation method, we must allocate the \(900\) fare based on the round-trip fares of each client as a proportion of the total fares. Let x and y be the round-trip fares from Atlanta to Seattle and Atlanta to Denver, respectively. Allocating Costs using Stand-Alone Method: - Seattle: \(\displaystyle \frac{x}{x + y} * \$900\) - Denver: \(\displaystyle \frac{y}{x + y} * \$900\)

Step 3: Determine Incremental Method Allocation

For the incremental cost allocation method, the journey to Seattle would be considered the first leg. Allocate the \(900\) fare for the first leg, with the remainder split between the second leg from Seattle to Denver and the last leg from Denver to Atlanta. Allocating Costs using Incremental Method: - Seattle: \(\frac{1}{3} * \$900 = \$300\) - Denver: \(\frac{2}{3} * \$900 = \$600\)

Step 4: Determine Shapley Value Method Allocation

For the Shapley value method, we will average the costs allocated by the stand-alone and incremental methods. Allocating Costs using Shapley Value Method: - Seattle: \(\frac{1}{2} * \left(\displaystyle \frac{x}{x + y} * \$900 + \$300 \right)\) - Denver: \(\frac{1}{2} * \left(\displaystyle \frac{y}{x + y} * \$900 + \$600 \right)\)

Step 5: Recommendation of Allocation Method

Gordon Grimes should choose the Shapley Value method as it is a fair and balanced approach, considering the contributions of all clients in a proportional manner. This method takes into account the average of standalone and incremental methods, ensuring the fairest allocation to each client.

Step 6: Allocating Limousine Charges

The limousine charges can be allocated using the same methods described above, or Grimes can allocate the limousine charges equally, as this cost is not dependent on the distance traveled to each client and would be incurred regardless of the client visited. We recommend allocating the limousine charges equally at \(45\) per client as it works in the fairest manner for this situation.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 15

Boca Resorts (BR) operates a five-star hotel with a worldclass spa. BR has a decentralized management structure, with three divisions: Starting next month, BR will offer a two-day, two-person "getaway package" for \(\$ 1,000\). This deal includes the following: Jennifer Gibson, president of the spa division, recently asked the CE0 of BR how her division would share in the \(\$ 1,000\) revenue from the getaway package. The spa was operating at \(100 \%\) capacity. Currently, anyone booking the package was guaranteed access to a spa appointment. Gibson noted that every "getaway" booking would displace \(\$ 300\) of other spa bookings not related to the package. She emphasized that the high demand reflected the devotion of her team to keeping the spa rated one of the "Best 10 Luxury Spas in the World" by Travel Monthly. As an aside, she also noted that the lodging and food divisions had to turn away customers during only "peak-season events such as the New Year's period." 1\. Using selling prices, allocate the \(\$ 1,000\) getaway-package revenue to the three divisions using: a. The stand-alone revenue-allocation method b. The incremental revenue-allocation method (with spa first, then lodging, and then food) 2\. What are the pros and cons of the two methods in requirement \(1 ?\) 3\. Because the spa division is able to book the spa at \(100 \%\) capacity, the company CEO has decided to revise the getaway package to only include the lodging and food offerings shown previously. The new package will sell for $\$ 800$. Allocate the revenue to the lodging and food divisions using the following: a. The Shapley value method b. The weighted Shapley value method, assuming that lodging is three times as likely to sell as the food

Chapter 15

Distinguish among the three methods of allocating the costs of support departments to operating departments.

Chapter 15

What is one key way to reduce cost-allocation disputes that arise with government contracts?

Chapter 15

Distinguish between two methods of allocating common costs.

Chapter 15

Preston Department Store has a new promotional program that offers a free gift-wrapping service for its customers. Preston's customer-service department has practical capacity to wrap 5,000 gifts at a budgeted fixed cost of $\$ 4,950\( each month. The budgeted variable cost to gift-wrap an item is \)\$ 0.35$. During the most recent month, the department budgeted to wrap 4,500 gifts. Although the service is free to customers, a gift-wrapping service cost allocation is made to the department where the item was purchased. The customer-service department reported the following for the most recent month: 1\. Using the single-rate method, allocate gift-wrapping costs to different departments in these three ways: a. Calculate the budgeted rate based on the budgeted number of gifts to be wrapped and allocate costs based on the budgeted use (of gift-wrapping services). b. Calculate the budgeted rate based on the budgeted number of gifts to be wrapped and allocate costs based on actual usage. c. Calculate the budgeted rate based on the practical gift-wrapping capacity available and allocate costs based on actual usage. 2\. Using the dual-rate method, compute the amount allocated to each department when (a) the fixedcost rate is calculated using budgeted fixed costs and the practical gift-wrapping capacity, (b) fixed costs are allocated based on budgeted fixed costs and budgeted usage of gift-wrapping services, and (c) variable costs are allocated using the budgeted variable-cost rate and actual usage. 3\. Comment on your results in requirements 1 and 2. Discuss the advantages of the dual-rate method.

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks