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goldfiish [28.3K]
3 years ago
15

A hospital reports the following cost and revenue data: Variable cost per inpatient day of $250 Revenue per inpatient day of $10

00 Fixed costs of $15 million What is the expected profit at a volume of 25,000 inpatient days?
Business
1 answer:
REY [17]3 years ago
4 0

Answer:

Expected profit at a volume of 25,000 inpatient days = $3,750,000.00

Explanation:

The expected profit is calculated as follows:

<em>Step 1</em>

<em>Total contribution per inpatient from 25,000 inpatients</em>

contribution = (revenue - variable cost) per patient

= $(1000-250)

= $750 per inpatient day

<em>Total contribution for 25,000 inpatient days</em>

$750 × 25000 =  $18,750,000.00

<em>Step 2</em>

<em>Calculate Profit </em>

Profit = Total contribution - Fixed cost

         =$18,750,000.00 -$15,000,000

        =  $3,750,000.00

Expected profit at a volume of 25,000 inpatient days = $3,750,000.00

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Answer:

12.55 days

Explanation:

<em><u>Provided information </u></em>

Number of employees 2

Average production time=1.8 days

Standard deviation=2.7 days

Inter-arrival time= 1 day

Coefficient of variation= 1 day

Standard deviation of inter-arrival time= 1 day

The coefficient of variations

<u>Inter-arrival coefficient of variation </u>

C_{vi}=\frac {\sigma}{T} where \sigma is standard deviation of inter-arrival time, T is inter-arrival time and C_v is coefficient of variation of inter-arrival time

C_{vi}=\frac {1 day}{1 day}=1

<u>Production time coefficient of variation </u>

C_{vp}=\frac {2.7}{1.8}=1.5

<u><em>Total utilization time </em></u>

U=\frac {T}{n*T_i} where T is the time of production, n is number of employees, U is utilization, T_i is inter-arrival time

U=\frac {1.8}{2*1}=0.9

Therefore, utilization time by 2 employees is 0.9

<u>Expected average waiting time </u>

T_e=(\frac {T}{n*T_i})*0.5(C_{vi}^{2}+C_{vp}^{2})*(\frac{U^{\sqrt{2(n+1)}-1}}{1-U})

Where T_e is expected average waiting time and the other symbols as already defined

Substituting 1.5 for C_{vp}, 1 for C_{vi}, 0.9 for U, 2 for n, 1 for T_iand 1.8 for T

T_e=(\frac {1.8}{2*1})*0.5(1^{2}+1.5^{2})*(\frac{0.9^{\sqrt{2(2+1)}-1}}{1-0.9})

T_e=0.9*1.625*8.583709=12.55367 days  and rounding off to 2 decimal places we obtain 12.55 days

Therefore, expected duration between order received and beginning of production is approximately 12.55 days

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Answer: Please see explanation column for answer

Explanation:

Recasting  the income statement to emphasize contribution margin.

Juicy Beauty Operating Income Statement, June 2017

Units sold                                                            20,000

Revenues                                                         $200,000

Variable costs(subtract):

Variable manufacturing costs    $110,000

Variable marketing costs             $10,000

Total variable costs                                                 $120,000  

Contribution margin                                                   $80,000

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fixed manufacturing costs                         40,000

Fixed marketing and administrative costs 20,000

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Operating income                                                           $20,000

Working  for income statement above =

Contribution margin = Revenue -Total  variable cost =$200,000- ($110,000 + $10,000) - $80,000

Operating income= Contribution margin - Total fixed cost = $80,000 - $($40,000 +$20,000) -=$20,000

2  The contribution margin percentage and breakeven point in units and revenues for June 2017.

Contribution margin percentage = ,Contribution margin/ Revenue x 100%

= $80,000/ $200,000 x 100= 40 %

Contribution margin per unit = ,Contribution margin/ units sold

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Break  even point units  = Total fixed cost/ ,Contribution margin per unit

 = $60,000/ $4=  15,000units

Break even revenue=

we first calculate the selling price = Revenue / units sold = $200,000/ 20,000 =$10

Break even revenue=Break even units x per unit sold = $15,000 x $10 = $150,000.

3. Margin of safety = units sold - break even point unit

20,000 - 15,000 =5000 units

4. If the sales is 16,000 and tax is 30% , Net income is

Units sold                     16,000

Revenue                     $160,000

Contribution margin    $64,000

Total fixed cost           - $60,000

Operation income       $4,000

tax at 30 %                  - $ 1200

Net income                 $2,800

working

Revenue = units sold x sale per unit = 16,000 x $10 = $160,000

Contribution margin = Revenue x contribution margin percentage = $160,000 x 40% = $64,000

Operation income = contribution margin - fixed costs= $64,000 - $60,000 = $4000

Tax = 30% of 4000 = $1200

Net income = $4000 - $1200 = $2,800

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