Question

Marcel just started her own business making cookies. She sells the cookies in boxes, charging $15.00 per box. It costs her $50.00 to buy the supplies. She wants to calculate how many boxes she must make to earn a profit of at least 245.00.

Answer 1

Step-by-step explanation:

To calculate how many boxes of cookies Marcel needs to make to earn a profit of $245.00, we need to use the following formula:

Profit = (Revenue - Expenses) / Number of boxes

We know that the revenue is $15.00 per box and the expenses are $50.00. We also know that the profit should be at least $245.00.

So we can substitute these values into the formula and solve for the number of boxes:

$245.00 = ($15.00 - $50.00) / x

Where x is the number of boxes.

To solve for x, we'll need to multiply both sides of the equation by x:

$245.00*x = ($15.00 - $50.00)

$245.00*x = -$35.00

x = -$35.00/$245.00 = -0.142857143

The number of boxes is a negative value which is not possible, so Marcel will not earn a profit of $245.00. She will need to increase her revenue or decrease her expenses to reach a profit of $245.00.

Answer 2

Marcel needs to sell at least 20 boxes of cookies to earn a profit of at least $245.00, after covering her initial cost of $50.00 for supplies.

Step-by-step explanation:

To find out how many boxes Marcel must make and sell to earn at least a $245.00 profit, we need to set up a basic algebraic equation. She needs to cover her initial costs and still earn her desired profit. We can use the following equation to represent the scenario: Profit = (Price per box × Number of boxes sold) - Cost of supplies. The price per box is $15.00 and her initial costs are $50.00.

Let's plug in the values and solve for the number of boxes:

$245.00 = ($15.00 × Number of boxes) - $50.00

$245.00 + $50.00 = $15.00 × Number of boxes

$295.00 = $15.00 × Number of boxes

Number of boxes = $295.00 / $15.00

Number of boxes = 19.67

Since Marcel can't sell a fraction of a box, she needs to sell at least 20 boxes to make a profit of at least $245.00.