Maximize short-run contribution margin


Question:

Providence Products Inc. consists of three decentralized divisions: Park Division, Quayside Division, and Ridge top Division. The president of Providence Products has given the managers of the three divisions the authority to decide whether to sell internally at a transfer price deter mined by the division managers, or externally. Market conditions are such that sales made internally or externally will not affect market or transfer prices. Intermediate markets will always be available for Park, Quayside, and Ridge top to purchase their manufacturing needs or sell their product. Division managers attempt to maximize their contribution margin at the current level of operating assets for the division. The Quayside Division manager is considering the following two alternative orders. The Ridge top Division needs 3,000 units of a motor that can be supplied by the Quayside Division. To manufacture these motors, Quayside would purchase components from the Park Division at a transfer price of $600 per unit; Park's variable cost for these components is $300 per unit. Quayside Division would further process these components at a variable cost of $500 per unit. If the Ridge top Division cannot obtain the motors from the Quayside Division, the motors will be purchased from Essex Company for $1,500 per unit. Essex Company would also purchase 3,000 components from Park at a price of $400 for each of these motors; Park's variable cost for these components is $200 per unit. The Saxon Company wants to buy 3,500 similar motors from the Quayside Division for $1,250 per unit. Quayside would again purchase components from the Park Division at a transfer price of $500 per unit; Park's variable cost for these components is $250 per unit. Quayside Division would further process these components at a variable cost of $400 per unit. The Quayside Division's plant capacity is limited and, as such, the company can accept either the Saxon contract or the Ridgetop order, but not both. The president of Providence Products and the manager of Quayside Division agreethat it would not be beneficial in the short or long run to increase capacity.

a. If the Quayside Division manager wants to maximize short-run contribution margin, determine whether the Quayside Division should (1) sell motors to the Ridgetop Division at the prevailing market price or (2) accept the Saxon Company contract. Support your answer with appropriate calculations.

b. Without prejudice to your answer to part (a), assume that the Quayside Division decides to accept the Saxon Company contract. Determine whether this decision is in the best interest of Providence Products Inc. Support your answer with appropriate calculations. (CMA adapted)

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Accounting Basics: Maximize short-run contribution margin
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