Total Overhead Costs Physician Contact Hours Billed to Patients $ 90,000 150 105,000 200 111,000 250 125,000 300 137,000 350 150,000 400 1. Compute the linear cost function, relating total overhead costs to physician contact hours, using the representative observations of 200 and 300 hours. Plot the linear cost function. Does the constant com- ponent of the cost function represent the fixed overhead costs of Young and Associates? Why? 2. What would be the predicted total overhead costs for (a) 150 hours and (b) 400 hours using the cost function estimated in requirement 1? Plot the predicted costs and actual costs for 150 and 400 hours. 3. Dr. Young had a chance to do some school physicals that would have boosted physician contact hours billed to patients from 200 to 250 hours. Suppose Dr. Young, guided by the linear cost function, rejected this job because it would have brought a total increase in contribution margin of $9,000, before deduct- ing the predicted increase in total overhead cost, $10,000. What is the total contribution margin actually forgone? Required

Managerial Accounting: The Cornerstone of Business Decision-Making
7th Edition
ISBN:9781337115773
Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Publisher:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Chapter3: Cost Behavior And Cost Forecasting
Section: Chapter Questions
Problem 20BEA: Using Regression to Calculate Fixed Cost, Calculate the Variable Rate, Construct a Cost Formula, and...
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Linear cost approximation. Dr. Young, of Young and Associates, LLP, is examining how overhead costs behave as a function of monthly physician contact hours billed to patients. The historical data are as follows:

Total Overhead Costs
Physician Contact Hours Billed to Patients
$ 90,000
150
105,000
200
111,000
250
125,000
300
137,000
350
150,000
400
1. Compute the linear cost function, relating total overhead costs to physician contact hours, using the
representative observations of 200 and 300 hours. Plot the linear cost function. Does the constant com-
ponent of the cost function represent the fixed overhead costs of Young and Associates? Why?
2. What would be the predicted total overhead costs for (a) 150 hours and (b) 400 hours using the cost
function estimated in requirement 1? Plot the predicted costs and actual costs for 150 and 400 hours.
3. Dr. Young had a chance to do some school physicals that would have boosted physician contact hours
billed to patients from 200 to 250 hours. Suppose Dr. Young, guided by the linear cost function, rejected
this job because it would have brought a total increase in contribution margin of $9,000, before deduct-
ing the predicted increase in total overhead cost, $10,000. What is the total contribution margin actually
forgone?
Required
Transcribed Image Text:Total Overhead Costs Physician Contact Hours Billed to Patients $ 90,000 150 105,000 200 111,000 250 125,000 300 137,000 350 150,000 400 1. Compute the linear cost function, relating total overhead costs to physician contact hours, using the representative observations of 200 and 300 hours. Plot the linear cost function. Does the constant com- ponent of the cost function represent the fixed overhead costs of Young and Associates? Why? 2. What would be the predicted total overhead costs for (a) 150 hours and (b) 400 hours using the cost function estimated in requirement 1? Plot the predicted costs and actual costs for 150 and 400 hours. 3. Dr. Young had a chance to do some school physicals that would have boosted physician contact hours billed to patients from 200 to 250 hours. Suppose Dr. Young, guided by the linear cost function, rejected this job because it would have brought a total increase in contribution margin of $9,000, before deduct- ing the predicted increase in total overhead cost, $10,000. What is the total contribution margin actually forgone? Required
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