Chapter 11, Problem 20P

1)
To determine

Return on Investment, Margin and Turnover:

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 4.5%

Explanation of Solution

• Given:

  Sales = $4,000,000

  Variable Expense = $2,800,000

  Fixed Expenses=$840,000

  Average Operating Assets = $2,000,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

• Calculations:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\\ \begin{array}{l}\text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 360000 / 4000000 x 100}\hfill \\ \text{Margin = 9\%}\hfill \\ \hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Turnover = 40000000 / 2000000 x 100}\hfill \\ \text{Turnover = 2}\hfill \\ \hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \\ \text{Return on Investment = 9 / 200 x 100}\hfill \\ \text{Return on Investment = 4}\text{.5\%}\hfill \end{array}\end{array}$

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 3.6%

Explanation of Solution

• Given:

  Sales = $4,000,000

  Variable Expense = $2,800,000

  Fixed Expenses=$840,000

  Average Operating Assets = $1,600,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

• Calculations:

$\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 360000 / 4000000 x 100}\hfill \\ \text{Margin = 9\%}\hfill \\ \hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Turnover = 40000000 / 1600000 x 100}\hfill \\ \text{Turnover = 2}\text{.5}\hfill \\ \hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \\ \text{Return on Investment = 9 / 250 x 100}\hfill \\ \text{Return on Investment = 3}\text{.6\%}\hfill \end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Since the average level of inventory is reduced, the average operating assets for the year will also reduce by $400,000.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and reduces when the average operating assets decrease and turnover increases.

3)

Return on Investment, Margin and Turnover

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 4.9%

Explanation of Solution

• Given: Sales = $4,000,000

  Variable Expense = $3,168,000

  Fixed Expenses=$840,000

  Average Operating Assets = $2,000,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

• Calculations:

$\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 392000 / 4000000 x 100}\hfill \\ \text{Margin = 9}\text{.8\%}\hfill \\ \hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Turnover = 40000000 / 2000000 x 100}\hfill \\ \text{Turnover = 2}\hfill \\ \hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \\ \text{Return on Investment = 9}\text{.8 / 200 x 100}\hfill \\ \text{Return on Investment = 4}\text{.9\%}\hfill \end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Since the cost savings take place for the company, the value of variable expenses will reduce $32,000.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and increases when there is a reduction in expenses.

4)

Return on Investment, Margin and Turnover

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 5%

Explanation of Solution

• Given:

  Sales = $4,000,000

  Variable Expense = $2,780,000 [$2,800,000 - $20,000]

  Fixed Expenses=$900,000 [$840,000 + $60,000]

  Average Operating Assets = $2,500,000 [$2,000,000 + $500,000]

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

• Calculations:

$\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 320000 / 4000000 x 100}\hfill \\ \text{Margin = 8\%}\hfill \\ \hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Turnover = 40000000 / 2500000 x 100}\hfill \\ \text{Turnover = 1}\text{.6}\hfill \\ \hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \\ \text{Return on Investment = 8 / 160 x 100}\hfill \\ \text{Return on Investment = 5}\text{.0\%}\hfill \end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Since the new plant and equipment is purchased, the average operating assets for the year will increase by $500,000.

• The cost of interest on bonds will increase the fixed expenses by $60,000 and the production cost savings will reduce variable costs by $20,000.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and increases when the average operating assets increases.

5)

Return on Investment, Margin and Turnover

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 10.071%

Explanation of Solution

• Given: Sales = $4,800,000 [$4000000 + $800000]

  Variable Expense = $2,800,000

  Fixed Expenses=$840,000

  Average Operating Assets = $2,000,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

• Calculations:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\\ \begin{array}{l}\text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 1160000/ 4800000 x 100}\hfill \\ \text{Margin = 24}\text{.17\%}\hfill \\ \hfill \end{array}\\ \text{Turnover = Sales / Average Operating Assets x 100}\\ \begin{array}{l}\text{Turnover = 4800000 / 2000000 x 100}\hfill \\ \text{Turnover = 2}\text{.4}\hfill \\ \hfill \end{array}\\ \text{Return on Investment = Margin / Turnover x 100}\\ \begin{array}{l}\text{Return on Investment = 24}\text{.17 / 240 x 100}\hfill \\ \text{Return on Investment = 10}\text{.071\%}\hfill \end{array}\end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Sales increase by 20% i.e. $800,000.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and increases with an increase in the sale value.

6)

Return on Investment, Margin and Turnover

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 3.92%

Explanation of Solution

• Given:

  Sales = $4,000,000

  Variable Expense = $2,840,000

  Fixed Expenses=$840,000

  Average Operating Assets = $1,960,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

Calculations:

$\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\\ \begin{array}{l}\text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 320000 / 4000000 x 100}\hfill \\ \text{Margin = 8\%}\hfill \\ \hfill \end{array}\\ \text{Turnover = Sales / Average Operating Assets x 100}\\ \begin{array}{l}\text{Turnover = 4000000 / 1960000 x 100}\hfill \\ \text{Turnover = 2}\text{.04}\hfill \\ \hfill \end{array}\\ \text{Return on Investment = Margin / Turnover x 100}\\ \begin{array}{l}\text{Return on Investment = 8 / 204 x 100}\hfill \\ \text{Return on Investment = 3}\text{.92\%}\hfill \end{array}\end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Since the average level of inventory is scrapped, the average operating assets for the year will also reduce by $40,000 and variable expenses will increase by $40,000 to book loss on scrapping of assets.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and reduces when the average operating assets decrease and expenses increase.

7)

Return on Investment, Margin and Turnover

Return on Investment is calculated as Margin divided by Turnover. Here Margin refers to the Sales Margin and Turnover refers to the Capital Turnover Ratio.

Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

To determine

Return on Investment for the year

Answer to Problem 20P

Solution:

The Return on Investment for the year is 4.05%

Explanation of Solution

• Given:

  Sales = $4,000,000

  Variable Expense = $2,800,000

  Fixed Expenses=$840,000

  Average Operating Assets = $1,800,000

• Formulae used:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \end{array}$

Calculations:

  $\begin{array}{l}\text{Margin = Net Operating Income / Sales x 100}\\ \begin{array}{l}\text{Margin = }\left(\text{Sales – Variable Expenses – Fixed Expenses}\right)\text{ / Sales x 100}\hfill \\ \text{Margin = 360000 / 4000000 x 100}\hfill \\ \text{Margin = 9\%}\hfill \\ \hfill \\ \text{Turnover = Sales / Average Operating Assets x 100}\hfill \\ \text{Turnover = 40000000 / 1800000 x 100}\hfill \\ \text{Turnover = 2}\text{.22}\hfill \\ \hfill \\ \text{Return on Investment = Margin / Turnover x 100}\hfill \\ \text{Return on Investment = 9 / 222 x 100}\hfill \\ \text{Return on Investment = 4}\text{.05\%}\hfill \end{array}\end{array}$

• Margin is the percentage of Profit earned by an entity in a given reporting period. Profit is calculated as Revenues less Cost of Goods Sold and Indirect Expenses.

• Margin is Profit expressed in terms of Sales as a percentage.

• Turnover is the capital turnover ratio. This is calculated by dividing the sales by the average operating assets for the year.

• Return on Investment is calculated as Margin divided by Turnover.

• Return on Investment calculations are important from a business standpoint as they help in evaluation of new investment proposals, make or buy decisions, capital expenditure projects and whether to invest in a particular company or not.

• Since cash which is received from accounts receivable, is used to purchase common stock, the value of average operating assets will reduce

• Hence there is no impact on the balance of average operating assets and return on investment.

Conclusion

Hence it can be seen that the Return on Investment is calculated as Margin divided by Turnover and reduces when the average operating assets decrease.