please help

Question

A photo-processing kiosk charges $0.30 for each print that it produces. The cost of producing the print is $0.09 per print. The overhead cost is $45.00 per day to rent and staff the kiosk. How many prints must be produced each day to realize a profit of at least $60.00 per day?

Answer 1

Let's put this into an equation.

 

Let x equal the number of prints.

 

.30x = the profit made by each print.

 

But now we have to include the cost of making the print as well as the overhead.

 

.09x = cost to make the print

45 = overhead

 

Now we put it all together.

 

.30x -.09x -45 = ?

 

We want to set it equal to the final amount we want to make which is 60.

 

.30x - .09x - 45 = 60

 

Now we solve for x. We big by combining like terms.

 

.21x - 45 = 60

 

Then get x by itself.

 

.21x = 105

 

x = 105/.21 = 500.

 

Answer 2

The profit on the prints is $0.21 (0.30 - 0.09)

 

p = number of prints, 0.21 = profit from each print

 

Profit = Sales - Expenses

$60 = 0.21p - 45

105 = 0.21p

500 = p

 

To make a profit of $60, 500 prints must be sold.