Maths-

General

Easy

Question

# A theatre company uses the revenue function dollars. The cost functions of the production . What ticket price is needed for the theatre to break even?

Hint:

### The expansion of the expression is.

We are asked to find the ticket price that is required to break it even for revenue and cost production function.

## The correct answer is: We are asked to find the ticket price that is required to break it even for revenue and cost production function.

### Step 1 of 3 :

The revenue function of the theatre company is .

The cost functions production is .

To break it even, the cost function and the revenue function must be the same.

That is, they should at least have the same value.

That happens when they are equal, so:

Step 2 of 3:

Rearrange and simplify the equation,

Here, we took out 50 from the equation to simplify it.

Step 3 of 3:

Solve the simplified equation.

Thus, they should sell the ticket at least at three dollars to even it out.

The maximum number of solutions possible for a quadratic equation is two. It cannot have solutions more two.

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