Problem

Rolling Hills Golf Association is a nonprofit. private organization that operates three 18...

Rolling Hills Golf Association is a nonprofit. private organization that operates three 18-hole golf courses north of Philadelphia. The organization’s financial director has just analyzed the course maintenance costs incurred by the golf association during recent summers. The courses are maintained by a full-time crew of four people, who are assisted by part-time employees. These employees are typically college students on their summer vacations. The course maintenance costs vary with the number of people using the course. Since a large part of the maintenance work is done by part-time employees, the maintenance crew size can easily be adjusted to reflect current needs. The financial director’s analysis revealed that the course maintenance cost includes two components:

1. A fixed component of $12.000 per month (when the courses are open).

2. A step-variable cost component. For each additional 1 to 10 people teeing off in one day. $20 in costs are incurred, Thus, if 101to 110 people tee off, $220 of additional cost will be incurred. If 111 to 120 people tee off, $240 of additional cost will be incurred.

Required:

1. Draw a graph of Rolling Hills Golf Association’s course maintenance costs. Show on the graph the fixed-cost component and the step-variable cost component. Label each clearly.

2. Use a semivariable-cost behavior pattern to approximate the golf association’s course maintenance cost behavior. Visually fit the semivariable cost line to your graph.

3. Using your graph, estimate the variable- and fixed-cost components included in your semivariable approximation. Express this approximate cost behavior pattern in equation form.

4. Fill in the following table of cost predictions.

Predicted Course Maintenance Costs

 

Using Fixed Cost Coupled with Step-Variable Cost Behavior Pattern

Using Semivariable Cost Approximation

150 people teeoff

?

?

158 peopletee off

?

?

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