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Nations Capital Fitness, Inc. operates a chain of fitness centers in the Washington, D.C., area. The firms controller is accumulating data to be used in

Nations Capital Fitness, Inc. operates a chain of fitness centers in the Washington, D.C., area. The firms controller is accumulating data to be used in preparing its annual profit plan for the coming year. The cost behavior pattern of the firms equipment maintenance costs must be determined. The accounting staff has suggested the use of an equation, in the form of Y = a + bX, for maintenance costs. Data regarding the maintenance hours and costs for last year are as follows:

Month Hours of Maintenance Service Maintenance Costs
January 540 $ 4,800
February 460 4,240
March 290 2,800
April 470 4,290
May 310 2,970
June 460 4,140
July 340 3,010
August 440 3,500
September 480 4,000
October 350 3,270
November 350 3,190
December 340 3,120
Total 4,830 $ 43,330
Average 403 * $ 3,611 *

Using the high-low method of cost estimation, estimate the behavior of the maintenance costs incurred by Nations Capital Fitness, Inc. Express the cost behavior pattern in equation form. (Round coefficient of X to 2 decimal places and other answer to the nearest whole dollar amount.)

Monthly Maintenance Cost =

Variable Maintenance Cost per hour =

Compute the predicted maintenance cost at 620 hours of activity.

Maintenance Cost =

  1. Compute the variable cost per hour and the fixed cost per hour at 630 hours of activity. (Round your answers to 2 decimal places.)

Variable Cost per hour =

Fixed Cost per hour =

  1. Why is the fixed cost per hour possibly misleading?

multiple choice

  • Because it will change as the number of hours changes.

  • Because it will not change as the number of hours changes.

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