Explanation:
To calculate the number of boxes Celine needs to sell to earn a profit of at least $225.00, we'll use the following formula:
Profit
=
Revenue
−
Cost
Profit=Revenue−Cost
Given:
Cost of supplies = $65.00
Selling price per box = $20.00
The profit from selling one box is the selling price minus the cost of supplies:
Profit per box
=
Selling price per box
−
Cost of supplies
Profit per box=Selling price per box−Cost of supplies
Profit per box
=
$
20.00
−
$
65.00
Profit per box=$20.00−$65.00
Profit per box
=
−
$
45.00
Profit per box=−$45.00
Celine is currently making a loss of $45.00 per box based on the current cost and selling price. To cover a profit of at least $225.00, we can use the following equation:
Profit
=
Number of boxes
×
Profit per box
Profit=Number of boxes×Profit per box
$
225.00
=
Number of boxes
×
(
−
$
45.00
)
$225.00=Number of boxes×(−$45.00)
Solving for the number of boxes:
Number of boxes
=
$
225.00
−
$
45.00
Number of boxes=
−$45.00
$225.00
Number of boxes
=
−
5
Number of boxes=−5
Celine is making a loss of $45.00 per box at the current price and cost. To reach a profit of at least $225.00, she would need to sell -5 boxes, which isn't feasible.
To achieve a profit of $225.00, Celine might need to reconsider her pricing or cost strategy to ensure she's covering her expenses and making a profit on each