A camera manufacturer spends 3400 each day for overhead expenses plus $16 per camera for labor and materials. the camera sell for $24 each define the variable needed to solve this problem how many cameras need to be sold each day for the manufacturer to break even.Write an equation to find the breakeven point for the camera manufacture. solve the equation to determine how many cameras the company must sell in one day in order to break even show work? :/

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To solve this problem, let's define the following variables:

Let "x" be the number of cameras that the company needs to sell in one day to break even.

Now let's write an equation to find the break-even point for the camera manufacturer:

Total Cost = Total Revenue

The total cost consists of the overhead expenses plus the cost of labor and materials. Since the overhead expenses are given as $3400 per day and the cost per camera for labor and materials is $16, the total cost can be expressed as:

Total Cost = 3400 + 16x

The total revenue is given by multiplying the selling price per camera ($24) with the number of cameras sold, which is represented by "x":

Total Revenue = 24x

Now, we can set the equation for the break-even point:

3400 + 16x = 24x

To solve this equation, we want to isolate the variable "x" on one side of the equation. Let's start by subtracting 16x from both sides:

3400 = 24x - 16x

Combining like terms gives:

3400 = 8x

To isolate "x", we need to divide both sides by 8:

x = 3400/8

Performing the division:

x = 425

Therefore, the company must sell 425 cameras in one day to break even.