QuestionFind the minimum tortillas Chloe needs to sell to break even if cost is R5 and selling price is R15.

Studdy Solution

STEP 1

Assumptions1. The cost per tortilla is R5. The selling price per tortilla is R153. To break even, the total cost must equal the total revenue

STEP 2

First, we need to define the formula for total cost. The total cost is the cost per tortilla multiplied by the number of tortillas.
$Total\, cost = Cost\, per\, tortilla \\times Number\, of\, tortillas$

STEP 3

Next, we define the formula for total revenue. The total revenue is the selling price per tortilla multiplied by the number of tortillas.
$Total\, revenue = Selling\, price\, per\, tortilla \\times Number\, of\, tortillas$

STEP 4

To break even, the total cost must equal the total revenue. Therefore, we set the total cost equal to the total revenue and solve for the number of tortillas.
$Cost\, per\, tortilla \\times Number\, of\, tortillas = Selling\, price\, per\, tortilla \\times Number\, of\, tortillas$

STEP 5

Substitute the given values into the equation.
$5 \\times Number\, of\, tortillas =15 \\times Number\, of\, tortillas$

STEP 6

To solve for the number of tortillas, we can divide both sides of the equation by the cost per tortilla.
$Number\, of\, tortillas = \frac{15 \\times Number\, of\, tortillas}{5}$

STEP 7

implify the equation to find the minimum number of tortillas that Chloe must sell in order to break even.
$Number\, of\, tortillas =3 \\times Number\, of\, tortillas$ The result implies that Chloe must sell at least3 tortillas to break even.

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