Profit Before Tax Lab 4

LAB 4

PBT Calculation

The PBT projection for the coming year can be calculated as shown below.

Particulars

Amount

Revenue

Total Bottles Sold

630,000

Price Per bottle ($)

1.59

Sales Revenue ($)

1,001,700

Variable Costs

Labor ($)

233,100

Raw Material ($)

327,600

Bottle Hardware ($)

88,200

Fixed Costs

Fixed Production ($)

75,000

General & Admin

115,000

Advertising

45,000

Interest

41,000

Depreciation

47,000

Total Costs ($)

971,900

PBT

29,800

 

Hence the expected PBT as shown above is $29,800.

ROS Calculation

ROS = (PBT/Sales) *100

For the coming year, expected sales = $1,001,700

Expected PBT = $29,800

Hence ROS = (29800/1001700)*100 = 2.975%

 

 

 

 

 

LAB 5

  1. Selling price of a bottle = $1.59

Total fixed cost = (75000+115000+45000+41000+47000) = $323,000

Variable cost per bottle = 0.37+0.52+0.14 = $1.03

Let us assume that the breakeven quantity of bottle be X

Total revenue generated = 1.59X

Total costs (Fixed + Variable) = 323000 + 1.03X

For breakeven,  Revenue generated = Total costs

Hence 1.59X = 323000 + 1.03X

Which implies that X= 576,786 bottles

 

  1. PBT calculation at full capacity is as shown below.

Particulars

Amount

Revenue

Total Bottles Sold

650,000

Price Per bottle ($)

1.59

Sales Revenue ($)

1,033,500

Variable Costs

Labor ($)

240,500

Raw Material ($)

338,000

Bottle Hardware ($)

91,000

Fixed Costs

Fixed Production ($)

75,000

General & Admin

115,000

Advertising

45,000

Interest

41,000

Depreciation

47,000

Total Costs ($)

992,500

PBT ($)

41,000

 

Hence PBT = $41,000 and Sales = $1,033,500

Hence ROS = (41000/1033500)*100 = 3.967%

 

  1. Full production capacity = 650,000

Let the selling price per bottle be $X

Total revenue generated at this capacity = 650000X

Total fixed cost = $323,000

Total variable costs = 650000*1.03 = $669,500

Total costs = $992,500

PBT = 650000X – 992,500

Since ROS should be 11%

Hence (650000X – 992,500/ 650000X) = 0.11

Solving the above, we get X= $1.716

 

  1. Let the breakeven quantity be X bottles

Total revenues generated = 1.716X

Total fixed cost = (75000+115000+45000+41000+47000) = $323,000

Variable cost per bottle = 0.37+0.52+0.14 = $1.03

Total costs (Fixed + Variable) = 323000 + 1.03X

For breakeven,  Revenue generated = Total costs

Hence 1.716X = 323000 + 1.03X

Which implies that X= 470,805 bottles

 

  1. Revenue at full production assuming price of $1.59 = $1,033,500

Total fixed cost = $323,000

Let the cost per bottle be $ X

Variable cost per bottle = X+0.52+0.14= 0.66+X

Total costs = 323,000 + (0.66+X)*650000

PBT = 1033500 – 323000 – [(0.66+X)*650000]

Since ROS is 11%, hence

(1033500 – 323000 – [(0.66+X)*650000])/1033500 = 0.11

Solving the above, we X = $0.2582

 

  1. 6.      Assuming the production @630,000 bottles

Let the selling price per bottle be $X

Revenue generated = 630000X

Total Fixed costs = 323,000 + 60,000 = $383,000

New unit variable cost = 1.03- 0.15 = $0.88

Total variable costs = 0.88*63000 = $554,400

Total costs = 383000 + 554400 = $937,400

PBT = 630000X – 937400

Since ROS is 11%, hence

(630000X – 937400)/630000X = 0.11

Solving for X, we get X = $1.672

 

Assuming the production @650,000

Let the selling price per bottle be $X

Revenue generated = 650000X

Total Fixed costs = 323,000 + 60,000 = $383,000

New unit variable cost = 1.03 – 0.15 = $0.88

Total variable costs = 0.88*65000 = $572,000

Total costs = 383000 + 572,000 = $955,000

PBT = 650000X –955,000

Since ROS is 11%, hence

(650000X – 955,000)/650000X = 0.11

Solving for X, we get X = $1.651