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Relevant Costs for Decision Making

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1. Frogers Company makes 40,000 units per year of a part it uses in the products it manufactures. The unit product cost of this part is computed as follows:

Direct materials $23.40
Direct labor 22.30
Variable manufacturing overhead 1.40
Fixed manufacturing overhead 24.60
Unit product cost $71.70

An outside supplier has offered to sell the company all of these parts it needs for $59.20 a unit. If the company accepts this offer, the facilities now being used to make the part could be used to make more units of a product that is in high demand. The additional contribution margin on this other product would be $352,000 per year.

If the part were purchased from the outside supplier, all of the direct labor cost of the part would be avoided. However, $21.90 of the fixed manufacturing overhead cost being applied to the part would continue even if the part were purchased from the outside supplier. This fixed manufacturing overhead cost would be applied to the company's remaining products.

a. How much of the unit product cost of $71.70 is relevant in the decision of whether to make or buy the part? (2 points)
b. What is the net total dollar advantage (disadvantage) of purchasing the part rather than making it? (2 points)
c. What is the maximum amount the company should be willing to pay an outside supplier per unit for the part if the supplier commits to supplying all 40,000 units required each year? (2 points)

2. Pilsbury Corporation makes a range of products. The company's predetermined overhead rate is $23 per direct labor-hour, which was calculated using the following budgeted data:

Variable manufacturing overhead $200,000
Fixed manufacturing overhead $375,000
Direct labor-hours 25,000

Management is considering a special order for 800 units of product N89E at $69 each. The normal selling price of product N89E is $88 and the unit product cost is determined as follows:

Direct materials $28.00
Direct labor 22.50
Manufacturing overhead applied 34.50
Unit product cost $85.00

If the special order were accepted, normal sales of this and other products would not be affected. The company has ample excess capacity to produce the additional units. Assume that direct labor is a variable cost, variable manufacturing overhead is really driven by direct labor-hours, and total fixed manufacturing overhead would not be affected by the special order.

If the special order were accepted, what would be the impact on the company's overall profit? (5 points)

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An Illustration of Relevant Costs for Decision Making

An Illustration of Relevant Costs for Decision-Making

The concepts of incremental cost, opportunity cost, sunk cost, and cost allocation are identified and discussed in the context of early U.S. foreign policy. The case is derived from an authentic exchange of views between Thomas Jefferson and John Adams on how the United States should protect its merchant shipping against the Barbary Pirates. Both men compare the cost of waging war against the pirates with the cost of paying ransom for captured U.S. seamen and bribes to protect future shipping. Adams quantifies the opportunity cost associated with not taking any action against the pirates. Jefferson articulates an incremental costing argument, on the assumption that the U.S. should build a navy regardless of U.S. policy towards the Barbary States. The case constitutes a brief introduction to management accounting by illustrating different cost concepts, and also lends itself to a discussion of the historical origins of management accounting.

The beginning of wisdom in using accounting for decision-making is a clear understanding that the relevant costs and revenues are those which as between the alternatives being considered are expected to be different in the future. It has taken accountants a long time to grasp this essential point.
R. H. Parker (1969, 15)

The Barbary Pirates
Throughout the 17th and 18th centuries, the North African Barbary States of Morocco, Algiers, Tunis and Tripoli engaged in piracy of European merchant shipping. The Barbary pirates routinely captured and confiscated ships and cargo, and enslaved or ransomed their crews and passengers. England, France and Spain entered into treaties with the Barbary States, in effect, paying "protection money" for their merchant shipping. These powerful European nations preferred bribery to war, because they perceived an economic benefit from the threat the pirates posed to the merchant shipping of other European nations.
Until the Revolutionary War, merchant ships from the American Colonies were protected by the British Royal Navy and by the treaties between England and the Barbary States. American shipping lost this protection in 1783, and within the next two years three American ships were captured, one by Morocco and two by Algiers. Morocco soon freed the American crew in exchange for a ransom of 5,000 pounds sterling (about $25,000).1 The crews held by the Algerians were captive throughout 1786 and for some time thereafter.

Historical Background
The capture of American ships by the Barbary pirates created an early and important foreign policy crisis for the United States. The U.S. response to the Barbary crisis was strongly influenced by two factors, one military and the other financial. The military consideration was that the U.S. had no navy. The Continental Navy of the Revolutionary War was disbanded in 1784, and the navy was not reestablished until 1798. During the intervening years, the United States had minimal naval power. Disbanding the Continental Navy was primarily a cost-savings measure. However, there were also important non-financial arguments for and against the navy. Some Americans who favored reestablishing close ties with England feared that the presence of a U.S. navy on the high seas would lead to confrontations with the British Navy. Other Americans, including John Adams, viewed a strong navy as the best national defense against foreign threats. Many Americans preferred the prospect of building a navy over an army due to their general distrust of standing armies?the result of their experience with the British occupation in America during the latter part of the Colonial Era.
The financial factor that influenced the U.S. response to the Barbary pirates was that any effective response would require a significant expense relative to the government's available funds. The U.S. government found itself in a precarious financial condition in the years immediately following the Revolutionary War. The Continental Congress and individual states borrowed over $40 million to finance the war, including about $6 million from France. From 1781 to 1788, the period during which the United States operated under the Articles of Confederation, the federal government did not have the power to tax its citizens, levy tariffs, or regulate commerce. The cost of operating the government during this time was about $500,000 annually, not including funding the debt (Hicks et al. 1970, 103). Some income was generated by the post office and from sales of public lands, but the two principal revenue sources available to the government were requesting support from the states and issuing paper money. State contributions to the federal government constituted only a small fraction of what was needed, and issuing paper money was an inflationary measure that had already been used extensively during the Revolutionary War. The financial plight of the new nation was sufficiently acute that during this period, the government borrowed from foreign sources just to meet the interest obligations on existing foreign debt.
The ratification of the Constitution in 1788 greatly enhanced the powers of the Federal government, and allowed the new Congress to levy and collect duties and taxes. However, the ability of the new government to actually enact and enforce revenue-generating measures was untested, and evolved over time. In 1786, during the Confederation period, and again in 1794, during Washington's presidency, popular opposition to taxation led to civil unrest. The first incident, Shays' Rebellion, arose in Massachusetts when the State Legislature levied taxes to pay off the war debt. The second incident, the Whiskey Rebellion, occurred in Western Pennsylvania when the federal government imposed an excise tax on distilled liquor. Also, although the Federal government had more potential resources under the Constitution than under the Articles of Confederation, it soon had more obligations. In 1790, under a plan advanced by Secretary of the Treasury Alexander Hamilton, the federal government assumed the remaining war debts that were owed by the individual states.
However, despite financial tribulations at both the state and federal levels, economic conditions in the United States during this period were generally good. A short recession that occurred after the Revolutionary War was followed by a period of economic growth. The strong economy led to increased federal revenues, and that fact, combined with the success of American leaders in keeping the nation out of the growing conflict between England and France, enabled the government to become current on its obligations under the national debt during Jefferson's administration.

The Adams-Jefferson Correspondence
In 1786, John Adams was the leading U.S. diplomat in London, and Thomas Jefferson was the U.S. ambassador to France. A few years earlier, in 1784, the Continental Congress had authorized Adams and Jefferson to negotiate treaties with the Barbary States (Kitzen 1993, 10). Consequently, the responsibility to negotiate the release of the captured American seamen, and to establish U.S. foreign policy that would protect U.S. shipping in the Mediterranean, fell largely to these two men. Against this backdrop, Adams sent Jefferson a letter that included the following analysis:

Adams to Jefferson
Grosvenor Square, June 6, 1786

Dear Sir

... The first Question is, what will it cost us to make Peace with all five [Barbary States]? Set it if you will at five hundred Thousand Pounds Sterling, tho I doubt not it might be done for Three or perhaps for two.
The Second Question is, what Damage shall we suffer, if we do not treat.
Compute Six or Eight Per Cent Insurance upon all your Exports, and Imports.
Compute the total Loss of all the Mediterranean and Levant Trade.
Compute the Loss of half your Trade to Portugal and Spain.
These computations will amount to more than half a Million sterling a year.
The third Question is what will it cost to fight them? I answer, at least half a Million sterling a year without protecting your Trade, and when you leave off fighting you must pay as much Money as it would cost you now for Peace.
The Interest of half a Million Sterling is, even at Six Per Cent, Thirty Thousand Guineas a year. For an Annual Interest of 30,000 pounds sterling then and perhaps for 15,000 or 10,000, we can have Peace, when a War would sink us annually ten times as much. (Cappon 1959, 133-134)

In the last paragraph of the excerpt, Adams states interest expense in terms of guineas. A guinea was worth about one pound sterling. Jefferson responded to Adams a few weeks later:
Jefferson to Adams
Paris, July 11, 1786I need some help with the questions at the end of the case study.

(See attached file for full problem description)

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