To find out when Marco's Bakery will make back the amount it invested in equipment, we can use the formula:
\[ \text{Total expenses} = \text{Total receipts} \]
Let \( x \) be the number of hours it takes to make back the investment.
The total expenses consist of the initial equipment cost plus the operating costs:
\[ \text{Total expenses} = 880 + 12x \]
The total receipts consist of the income generated:
\[ \text{Total receipts} = 28x \]
Setting these two equal:
\[ 880 + 12x = 28x \]
Now, we can solve for \( x \):
\[ 880 = 16x \]
\[ x = \frac{880}{16} \]
\[ x = 55 \]
So, it will take 55 hours for Marco's Bakery to make back the amount it invested in equipment.
To find the total expenses and receipts at that time:
\[ \text{Total expenses} = 880 + 12 \times 55 = 880 + 660 = 1540 \]
\[ \text{Total receipts} = 28 \times 55 = 1540 \]
So, at 55 hours, both the total expenses and total receipts will be $1540.
