The Spanish Club at Santa Fe Middle School wants to sell mini quiches to raise money for a field trip. The culinary department at their school will make the quiches for $30 plus $0.50 per quiche for the ingredients. The Spanish Club wants to sell each quiche for $2. How many quiches will they need to sell in order to break even?(1 point)
Let's determine the break-even point by setting the revenue equal to the cost.
Revenue = Cost
Let's assume the number of quiches they need to sell to break even is x.
Revenue = Selling Price × Number of Quiches = $2 × x
Cost = Fixed Cost (Culinary Department Cost) + Variable Cost (Ingredient Cost per Quiche) = $30 + $0.50 × x
Setting the revenue equal to the cost:
$2 × x = $30 + $0.50 × x
Now, let's solve the equation to find the value of x:
$2 × x - $0.50 × x = $30
$1.50 × x = $30
x = $30 / $1.50
x = 20
Therefore, they will need to sell 20 quiches in order to break even.
To calculate the number of quiches they need to sell in order to break even, we need to determine the total cost and the total revenue.
The cost to make each quiche is $30 + $0.50 = $30.50.
Let's assume the Spanish Club needs to sell "x" quiches to break even.
The total cost to make x quiches is $30.50 * x.
The total revenue from selling x quiches is $2 * x.
For the Spanish Club to break even, the total cost must equal the total revenue:
$30.50 * x = $2 * x.
We can now solve for x:
$30.50 * x = $2 * x.
Divide both sides by x:
$30.50 = $2.
x = $30.50 / $2.
x = 15.25.
Therefore, the Spanish Club needs to sell approximately 16 quiches to break even.
To determine the number of quiches the Spanish Club needs to sell in order to break even, we need to calculate the total cost and total revenue.
The cost of making each quiche includes $30 for the culinary department plus $0.50 for the ingredients, which amounts to $30.50.
The revenue from selling each quiche is $2.
To break even, the total cost must equal the total revenue.
Let's assume the number of quiches to be sold as 'x'.
The total cost is the cost per quiche multiplied by the number of quiches: total cost = $30.50 * x
The total revenue is the selling price of each quiche multiplied by the number of quiches: total revenue = $2 * x
To find the break-even point, we set the total cost equal to the total revenue and solve for 'x':
$30.50 * x = $2 * x
Dividing both sides by 'x':
$30.50 = $2
Separating the variables:
30.50 = 2x
Now, divide both sides by 2:
15.25 = x
Therefore, the Spanish Club needs to sell 15.25 (approximately 15) quiches to break even. Since it's not possible to sell a fraction of a quiche, they would need to sell at least 16 quiches to ensure they cover all costs.