Question

In: Accounting

Assume that a radiologist group practice has the following cost structure: Fixed Costs $500,000 Variable cost...

Assume that a radiologist group practice has the following cost structure:

Fixed Costs

$500,000

Variable cost per procedure

25

Charge (revenue) per procedure

100

Furthermore, assume that the group expects to perform 7,500 procedures in the coming year.

a. Construct the group's base case projected P&L statement

Total revenues

$   750,000

Total variable costs

$   (187,500)

Total contribution margin

$   562,500

Fixed costs

$   (500,000)

Profit (net income)

$   625,000

b. What is the group's contribution margin? What is its breakeven point?

Revenue per procedure

$   100

Variable cost per procedure

$   25

Contribution margin per procedure

$   562,500

Fixed costs

Contribution margin per procedure

Accounting Breakeven

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c.1 What volume is required to provide a pretax profit of $100,000?

Fixed costs

Target profit

Contribution margin per procedure

Economic Breakeven

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c.2 What volume is required to provide a pretax profit of $200,000?

Fixed costs

Target profit

Contribution margin per procedure

Economic Breakeven

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d. We are skipping

e. now assume a 20 percent discount from charges. Redo questions a, b, and c under these conditions.

redo a. Construct the group's base case projected P&L statement

Total revenues

Total variable costs

Total contribution margin

Fixed costs

Profit (net income)

redo b. What is the group's contribution margin? What is its breakeven point?

Revenue per procedure

Variable cost per procedure

Contribution margin per procedure

Fixed costs

Contribution margin per procedure

Accounting Breakeven

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redo c.1 What volume is required to provide a pretax profit of $100,000?

Fixed costs

Target profit

Contribution margin per procedure

Economic Breakeven

visits

redo c.2 What volume is required to provide a pretax profit of $200,000?

Fixed costs

Target profit

Contribution margin per procedure

Economic Breakeven

visits

Solutions

Expert Solution

Answer

A.

Sales   = Fixed cost + Variable cost + Profit

Gross profit = Sales - Variable cost - Fixed cost

Gross profit = $750,000(7500 *100) -$187,500 -- $500,000

Gross profit = $62500

     

B.

Contribution margin = Sales - Variable cost

Contribution margin       =$750,000 - $187,500

Contribution margin   =$562,500

Break even point =Fixed cost/P.V ratio

Break even point ==$500,000/75 =$6667

  P/V ratio =Contribution/Sales*100

                =$562,500/$750,000*100

                =75

C.

(Fixed Costs + Specified Profit) / Contribution Margin per unit

If the Specified profit is $100,000 then sales volume is =(500000 + 100000)/75          

600000/75= 8,000           

If the Specified profit is $100,000 then sales volume is =(500000 + 200000)/75           

700000/75= 9,333

E.

Now 20% discount charges, then Each procede would cost is  $80

                                                                                  

Variable cost is =$187,500

Sales               =$600,000

Fixed cost        =$500,000

                                         

Sales - Variable cost = Gross profit

600,000 - 187,500   = Gross profit

Gross profit            =$412,500               

Net Profit               = Gross profit - Fixed cost

                            = $412,500 -$500,000

Net loss               =(-)$87500

Contribution         = Sales -Variable cost

                           =$412,500               

Break even point =Fixed cost/P.V ratio  

          

P/V ratio =Contribution/Sales*100

               =412,500/600,000   

               =69

Break even point = $500,000/69

                         =7246

Sales      = (Fixed cost + Desired Profit)/P.V Ratio

Sales volume if the desired profit is $100,000

Sales         = (500,000 +100,000)/69

                 =600,000/69

                 =8696

Sales volume, if the desired profit is $200,000

Sales         =(500,000 + 200,000)/69

                          =700,000/69

                          =10145


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