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1. The facilities housekeeping department at St. Luke\'s Hospital has determined

ID: 326192 • Letter: 1

Question

1. The facilities housekeeping department at St. Luke's Hospital has determined that the appropriate cost driver for housekeeping costs is patient-days. There are 10,000 patient-days per month. The department has collected the following accounts for the past month:
Monthly Housekeeping Expenses Amount
Supervisors' Salaries Expense $10,000
Depreciation Expense—Scrubbing Machines $5,000
Cleaning Supplies Expense $7,000
Hourly Workers' Wages Expense $100,000
Insurance Expense—Scrubbing Machines $2,000
What’s the estimated cost function using the account analysis method?

Explanation / Answer

Let us first define account analysis method

Step 1: Separation of costs based on behaviour

Step 2: Determination of variable cost per unit

Step 3: Finalising the cost function

Cost Function is TC = VC + FC in the form of y = mx + c

where VC = variable cost and FC = Fixed cost

Hence variable costs are as follows:

1) Cleaning supplies expense: $7,000

2) Hourly Workers wages expense: $100,000

Total Variable costs = $7,000+ $100,000 = $107,000; Per patient-day = $107,000/10000 = $ 10.7  

Fixed costs are as follows:

1) Supervisor's salaries expense = $10,000

2) Depreciation Expense = $5,000

3) Insurance expense = $2,000

Total fixed costs = $10,000 + $5000 + $2000 = $17,000

Cost Function = VC + FC

C F = 10.7x + 17000 (Answer)