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Dr. Abbot, of Abbot and Associates, LLP, is examining how overhead costs behave as a function of monthly physician contact hours billed to patients. The

Dr. Abbot, of Abbot 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:

Requirements

1.

Compute the linear cost function, relating total overhead costs to physician contact hours, using the representative observations of

250

and

300

hours. Plot the linear cost function. Does the constant component of the cost function represent the fixed overhead costs of

Abbot

and Associates? Why?

2.

What would be the predicted total overhead costs for (a)

200

hours and (b)

450

hours using the cost function estimated in requirement 1? Plot the predicted costs and actual costs for

200

and

450

hours.

3.

Dr.

Abbot

had a chance to do some school physicals that would have boosted physician contact hours billed to patients from

250

to

300

hours. Suppose Dr.

Abbot,

guided by the linear cost function, rejected this job because it would have brought a total increase in contribution margin of

$10,000,

before deducting the predicted increase in total overhead cost,

$15,000.

What is the total contribution margin actually forgone?

Data table

Total Overhead Costs Physician Contact Hours Billed to Patients
$92,000 200
112,000 250
113,000 300
127,000 300
139,000 400
152,000 450

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Requirement 1. Compute the linear cost function, relating total overhead costs to physician contact hours, using the representative observations of 250 and 300 hours. Plot the linear cost function. Does the constant component of the cost function represent the fixed overhead costs of Abbot and Associates? Why? Select the labels for the cost function using the representative observations of 250 and 300 hours.

= +

PLEASE COMPLETE ALL REQUIREMENTS

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