Final Answer:
The given statement "The operating income, calculated using the given formula, is $190,000." is (a)True .
Step-by-step explanation:
The operating income is determined by the formula
![: \[ \text{Operating Income} = (Q * (SP - VC)) - FC \]](https://img.qammunity.org/2024/formulas/social-studies/high-school/ysjonuw9ls1fyn3j9wqyb1jlqkd5zpu4lm.png)
Where:
- Q is the quantity of units sold,
-SP is the selling price per unit,
- VC is the variable cost per unit, and
- FC is the fixed cost.
Given the information:
- Q = 7,000,000units,
- SP = $0.40 per unit,
- VC = $0.27 per unit, and
- FC = $720,000
Substituting these values into the formula, we get:
![\[ \text{Operating Income} = (7,000,000 * ($0.40 - $0.27)) - $720,000 \]](https://img.qammunity.org/2024/formulas/social-studies/high-school/vtidaj3hq1d38wzxsabreg2nom0ok2prud.png)
Solving the expression within the parentheses:
![\[ = (7,000,000 * $0.13) - $720,000 \]](https://img.qammunity.org/2024/formulas/social-studies/high-school/ndseo4xtgi43w7zqqv4h454hqlkhyfmdiq.png)
Multiplying and subtracting further:
![\[ = $910,000 - $720,000 \]](https://img.qammunity.org/2024/formulas/social-studies/high-school/futev7aaakyekb60i4c5ovcf325hzddwh8.png)
Finally:
![\[ = $190,000 \]](https://img.qammunity.org/2024/formulas/social-studies/high-school/icvjcj3r03ao3av2wzhzk3xb7i6jgnj5e6.png)
Thus, the operating income is $190,000. This means that after considering the new fixed costs, selling price, variable costs, and units sold, the business is left with an operating income of $190,000. This figure is crucial for assessing the financial health and profitability of the business in light of the changes made.