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 $5.25 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 Allocated corporate costs (@5%) Product-line margin Allowance for tax (@20%) Product-line profit (loss) $14,440,395 734,108 $14,682,150 15,174,503 $ (492,353) 98,470 $ (393,883) 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 Corporate Overhead Costs $106,750,000 76,200,000 $5,337,500 4,221,000 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, Andre provides you with the following data on product costs for Bubbs: Month Cases Production Costs 1 207,000 $1,139,828 2 217,200 1,161,328 3 214,800 1,169,981 4 228,000 1,185,523 5 224,400 1,187,827 6 237,000 1,208,673 7 220,200 1,183,699 8 247,200 1,226,774 9 238,800 1,225,226 10 252,600 1,237,325 11 250,200 1,241,760 12 259,200 1,272,451 Page 241 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 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? c. Suppose Luke has a requirement that all products have to earn 5 percent of sales (after tax and corporate allocations) or they will be dropped. How many cases of Bubbs does Andre need to sell to avoid seeing Bubbs dropped?