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Amanda King has just been appointed director of recreation programs for Highland Park, a rapidly growing community in Connecticut. In the past, the city has
Amanda King has just been appointed director of recreation programs for Highland Park, a rapidly growing community in Connecticut. In the past, the city has sponsored a number of softball leagues in the summer months. From the citys cost records, Amanda has found the following total costs associated with the softball leagues over the last five years: Number of Leagues Total Cost 6 $ 12,000 4 $ 8,000 5 $ 8,500 3 $ 7,000 7 $ 13,000 -------------------------------------------------------------------------------- Each league requires its own paid supervisor and paid umpires as well as printed schedules and other copy work. Therefore, Amanda knows that some variable costs are associated with the leagues. She would like to know the amount of variable cost per league and the total fixed cost per year associated with the softball program. This information would help her for planning purposes. Required: 1. Using the least-squares regression method, estimate the variable cost per league and the total fixed cost per year for the softball program. (Round your answers to the nearest dollar amount. Omit the "$" sign in your response.) Fixed cost $ Variable cost per league $ 2. Express the cost data derived in (1) above in the form Y = a + bX. (Round your answers to the nearest dollar amount. Omit the "$" sign in your response.) Y = $ + $ X 3. Assume that Amanda would like to expand the softball program during the coming year to involve a total of nine leagues. Compute the expected total cost for the softball program. (Round your intermediate and final answers to the nearest dollar amount. Omit the "$" sign in your response.) Total expected cost $ check my workeBook Links (2)references Worksheet Learning Objective: 02A-03 Understand cost behavior patterns including variable costs, fixed costs, and mixed costs. Difficulty: Easy Learning Objective: 02A-08 (Appendix 2A) Analyze a mixed cost using a scattergraph plot and the least-squares regression method
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