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Cara Company produces and sells a single product

Management Apr 25, 2021

Cara Company produces and sells a single product. The selling price is P 25 and the variable costs is P 15 per unit. The company's fixed costs is P 100,000 per month. Average monthly sales is 11,000 units

1. The company's contribution margin per unit and as a percentage of sales is

10 units; 40%

P 10 per unit; 40%

P40 per unit; 16%

P 10 per unit; 60%

2. The company's break-even point is

250,000 units

P 10,000

25,000 units

10,000 units or P 250,000

3. If the company desires to earn profit of P 20,000 before tax, it must generate sales of

P 12,000

300,000 units

10,000 units or P 250,000

12,000 units or P 300,000

4. If the company pays corporate income tax at the rate of 32% and it desires to earn after-tax profit of P 20,400, it must generate sales of

P 325,000 or 13,000 units

16,375 units or P 409,375

P 13,000 or 325,000 units

12,040 units or P 301,000

5. How much sales (in pesos) must be generated to earn profit that is 8% of such sales?

P 230,000

P 208,333.33

P 270,000

P 312,500

6. How many units must be sold to earn profit of P 2 per unit?

12500

10000

312500

8333.33

7. With an average monthly sales of 11,000 units, the company's margin of safety is

1,000 units or P 25,000

11,000 units or P 275,000

10,000 units or P 250,000

P 10,000 or 25,000 units

8. At the present average monthly sales of 11,000 units, the company's operating leverage factor (OLF) is

9.09

11

90.9

6

9. If fixed costs will increase by P 20,000, the break-even point in units will increase(decrease) by

2000

12000

50000

10000

10. If variable costs per unit will go up by P 5, the pesos break-even sales will increase(decrease) to

P500,000

P250000

-250000

-500000

11. If the selling price will increase to P 30, the break-even point in units will

decrease to 6,666.67

decrease by P 166,666.75

remain unchanged

decrease by 6,666.67

Expert Solution

1) Contribution Margin per Unit and as Percentage of Sales:

Contribution Margin per unit = Sales Price per Unit - Variable Cost per Unit 

= 25 - 15

P10  

 

Contribution Margin Ratio (CMR) = (Contribution Margin per Unit / Sales Price per Unit) * 100

= (10 / 25) *100

40%

So Answetr is a. P10 per unit, 40%

 

2) Breakeven Pointin Units and Amount:

Break Even Point in Units    = Fixed Costs / Contribution Margin   

= 100,000 / 10

10,000 Units

 

Break Even point in Amount = Fixed Costs / Contribution Margin Ratio:

= 100,000 / 0.40

P250,000

 

So, the answer is c. 10,000 units or P250,000

 

3) Required Sales to earn profit of P 20,000 before tax:

Required Sales in Units = (Fixed Costs + Desired Profit) / Contribution Margin per unit 

= (100,000 + 20,000) / 10

12,000 Units

 

Required Sales in Amount = (Fixed Costs + Desired Profit) / Contribution Margin ratio

= (100,000 + 20,000) / 0.40

P300,000

So, the answer is d. 12,000 units or P300,000

 

4) Computation of Required Sales to earn after-tax profit of P 20,400:

Desired Profit (Before Tax) =  Desired Profit (After Tax) / (1 - Tax Rate)

= 21,000 / (1 - 0.30)

= 21000 / 0.70

= P30,000

 

Required Sales in Units = (Fixed Costs + Desired Profit) / Contribution Margin per unit 

= (100,000 + 30,000) / 10

13,000 Units

 

Required Sales in Amount = (Fixed Costs + Desired Profit) / Contribution Margin ratio

= (100,000 + 30,000) / 0.40

P325,000

So, the answer is d. 13,000 units or P325,000

 

5) Computation of Required Sales to earn profit that is 8% of such sales:

Desired Profit = 8% of Sales

Assume Sale = X

Assumed desired profit    = 0.08X

Contribution Magin Ratio = 40%

Sales to get desired profit (Before tax) = Fixed Costs + Desired Profit / Contribution Margin ratio

X = ( 100,000 + 0.08X) / 0.40

0.40X    = 100,000 + 0.08X

0.40X - 0.08X   = 100,000

0.32X = 100,000

X = 100,000 / 0.32

X = P312,500

So, the answer is b.312,500

 

6) Computation of Number of units must be sold to earn profit of P 2 per unit:

Targeted Per Unit Profit = P2

Per Unit Sale price   = P25

Targeted total per unit Cost = 25 -2  = P23 Per unit

Variable Cost per Unit     = P15

Targeted Fixed Cost per Unit = 23 - 15= 8

Total Fixed Costs (As provided)    = P100,000

Units to be Sold to get P2 per unit cost = Total Fixed Cost / Targeted fixed Cost per Unit

= 100,000 / 8

P12,500

So, the answer is c. 12,500

 

7) Computation of Margin of Safety:

Margin of Safety in Units = Actual Sales - Breakeven Sales in Units

= 11,000 - 10,000

= 1,000 Units

 

Margin of Safety is Amount = 1,000 Units*P25 = P25,000

So, the correct option is A "1,000 units or P 25,000".

 

8) Computation of Operating Leverage Factor:

Operating Leverage Factor = Contribution Margin / Income

= (11,000*P10) / ((11,000*P10)-100,000)

= 110,000/10,000

Operating Leverage Factor = 11

 

So, the correct option is B "11".

 

9) Computation of Increase or Decrease in Breakeven Point in Units If fixed costs will increase by P 20,000:

Break Even Point in Units = Fixed Costs / Contribution Margin   

= (100,000+20,000) / 10

12,000 Units

Breakeven Point in Units will increase by (12,000-10,000) 2,000 Units.

So, the correct option is A "2,000 units".

 

10) Computation of Increase or Decrease in Pesos Breakeven Sales If variable costs per unit will go up by P 5:

Variable Cost = P15+P5 = P20

Contribution Margin ratio = (P25 - P20)/P25 = P5/P25 = 20%

 

Break Even point in Amount = Fixed Costs / Contribution Margin Ratio:

= 100,000 / 0.20

P500,000

 

Pesos Breakeven Sales will increase to P500,000

So, the correct option is A "P500,000".

 

11) Computation of Breakeven Point in Units If the Selling Price will increase to P30:

New Selling Price = P30

Contribution Margin per Unit = P30 - P15 = P15

Break Even Point in Units = Fixed Costs / Contribution Margin per Unit

= 100,000 / 15

= 6,666.67  Units

The break-even point in units will decrease to 6,666.67.

So, The correct option is A "decrease to 6,666.67".

 

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