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Luke Corporation produces a variety of products, each within its own division. Last year, the managers at Luke developed and began marketing a new
Luke Corporation produces a variety of products, each within its own division. Last year, the managers at Luke developed and began marketing a new chewing gum, Bubbs, to sell in vending machines. The product, which sells for $5.90 per case, has not had the market success that managers expected, and the company is considering dropping Bubbs. The product-line income statement for the past 12 months follows: Revenue Costs Manufacturing costs $ 14,701,650 Allocated corporate costs (@5%) $ 14,446,895 735,083 15,181,978 $ (480,328) 96,066 Product-line margin Allowance for tax (@20%) Product-line profit (loss) $ (384,262) All products at Luke receive an allocation of corporate overhead costs, which is computed as 5 percent of product revenue. The 5 percent rate is computed based on the most recent year's corporate cost as a percentage of revenue. Data on corporate costs and revenues for the past two years follow: Most recent year Previous year Corporate Revenue $ 119,750,000 77,500,000 Corporate Overhead Costs $ 5,987,500 5,024,200 Roy O. Andre, the product manager for Bubbs, is concerned about whether the product will be dropped by the company and has employed you as a financial consultant to help with some analysis. In addition to the information given, Mr. Andre provides you with the following data on product costs for Bubbs: Month Cases Production Costs 1 220,000 $ 1,161,340 2 223,700 1,182,840 3 221,400 1,191,493 4 241,000 1,207,035 5 244,950 1,209,339 6 250,000 1,230,185 7 226,750 1,205,211 8 253,700 1,248,286 9 245,300 1,246,738 222 10 259,150 1,258,837 11 256,700 1,263,272 12 265,700 1,293,963 Required: a. Bunk Stores has requested a quote for a special order of Bubbs. This order would not be subject to any corporate allocation (and would not affect corporate costs). What is the minimum price Mr. Andre can offer Bunk without reducing profit any further? b. How many cases of Bubbs does Luke have to sell in order to break even on the product?
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