you have just graduated from college and recently opened a specialty pizza restaurant. Based on surveys conducted in your area, you determine what it is feasible to sell your specialty for $15. The cost for making the pizzas includes a fixed cost of $55 and a labor cost of $4 per pizza. Establish an equation to determine revenue.

Question

you have just graduated from college and recently opened a specialty pizza restaurant. Based on surveys conducted in your area, you determine what it is feasible to sell your specialty for $15. The cost for making the pizzas includes a fixed cost of $55 and a labor cost of $4 per pizza. Establish an equation to determine revenue.

Establish and equation to determine cost.
how many pizzas must be sold to break even?

Answer 1

Revenue=15n

cost=55+4n

breakeven, set them equal, solve for n.

Answer 2

I needto see the whole equation and how it is gotten I have to show my work

Answer 3

To establish an equation to determine revenue, we need to consider the price at which the specialty pizza is sold and the number of pizzas sold. Let's denote the number of pizzas sold as "x".

The revenue equation can be established by multiplying the price per pizza by the number of pizzas sold:

Revenue = Price per pizza x Number of pizzas sold

In this case, the price per pizza is $15, and the number of pizzas sold is "x". Therefore, the revenue equation becomes:

Revenue = $15 * x

Now, let's establish an equation to determine the cost. The cost of making each pizza includes a fixed cost and a labor cost.

The fixed cost is given as $55, which is the cost incurred regardless of the number of pizzas made.

The labor cost per pizza is given as $4, and it will vary depending on the number of pizzas made. So, the labor cost can be calculated by multiplying the cost per pizza ($4) by the number of pizzas sold (x).

The total cost can be obtained by adding the fixed cost and labor cost:

Cost = Fixed cost + Labor cost
Cost = $55 + ($4 * x)

Now, to find the number of pizzas that must be sold to break even, we need to set the revenue equal to the cost:

Revenue = Cost
$15 * x = $55 + ($4 * x)

Simplifying this equation, we can subtract $4x from both sides:

$15x - $4x = $55

Combining like terms, we have:

$11x = $55

Finally, dividing both sides by $11, we can determine the number of pizzas that must be sold to break even:

x = $55 / $11
x = 5

Therefore, you need to sell 5 pizzas to break even.