Question

Problem: Big Al Plastics produces a variety of plastic items for packaging and distribution. One item, container #145, has ha
Response: 2 3 Inputs 4 Unit Sales Price 5 Annual Fixed Cost 6 Unit Variable Cost 7 8 Quantity Made and Sold 9 10 Calculations
2 3 Alternative 1 (Increase sales by 35%) 4 Inputs Alternative 2 (Reduce Variable Cost by 20%) Inputs Unit Sales Price Annual
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Answer #1

Produced and sold =20,000 units

1. Computation of Profit in amount and in per unit:

particulars                                                             Amount $

sales 20000* 32                                    640,000

less:Variable cost $16* 20000                      (320,000)

Contribution                                                         320.000

less: Fixed costs                                                  (95000)   

Profit           225,000    

Profit level for the base case= $225000

if want to calculate profit per unit= 225000/20000 = $11.25per unit

2. Amount of units in Break even =

break even Point= Fixed costs/ Contribution per unit

Fixed costs= $95,000

Contribution per unit= sales- variable cost

sale per unit= 32

variable cost per unit= $ 16

Contribution per unit= $16 per unit

thus break even point= 95000/16

                             = 5937.50 units

5937.50 units needs to break even.

if you wants to break even point in $ then simply Break even point units multiply with Selling price per unit.

3. find out profit and higher contribution by using 2 Alternatives:

Alternative 1 :Sales( Quantity made and Sold) can be increased by 35% of their current levels.

and Other costs are remian same as base level.

if Quantity made increased by 35% of 20,000 units = 7000units

means 7000 units will be made further.

thus: 20000+7000= 27,000 units                                                                        

Partiulars                                                                                          $               

Sales 27000* 32                                                                            864,000

Variable cost 27000* 16                                                                  (432,000)    

Contribution                                                                                   432,000

Fixed costs                                                                                   (95,000)      

Profit                                                                                            337,000    

Alternative 2 Variable cost decreased by 20%

if variable cost per unit is $16 per unit and now decreaseby20% then variable cost will be 16* 20%= 12.80per unit

IMPORTANT TIP: WHEN IN QUESTION "BY" IS WRITTEN THEN SAME AMOUNT IS CONSIDER. BUT IF "TO" WRITTEN THEN DIFFREENCE IS CONSIDERED.

Statement showing profit if change in Vaiable cost per unit:                   

particulars                                                                           $        

sale 20000* 32                                                                640,000

Variable cost 20000*12.80 ( 256,000)

Contribution                                                                   384,000

Less: Fixed costs                                                      (95,000)      

profit                                                                            289,000      

units sale Profit 20000 units 27000 units $640,000 864,000 225000 337000

864,000 $640,000 $1,000,000 $900,000 $800,000 $700,000 $600,000 $500,000 $400,000 $300,000 $200,000 $100,000 $0 337000 225000

20000 640000 units sale Vaiable cost Profit 20000 640000 320000 225000 256000 289000

700000 600000 500000 400000 300000 Series1 Series2 200000 100000 0 sale Vaiable cost Profit

4. Interpretation:

if increase in Sales units then it is obivous that increase in Sales in $ but also increase in variable cost increase in sale

Number of Units remains same. Then Sale will remain same. But here is decrease in cost, so with this increase in profit. So t

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