SOLUTION: The average of 8, 6, 9, 12 and 4x is x. What is the value of x? Leonardo earns $100 for each oil painting. His expenses are $75 for start-up plus $35 per painting. How many

Algebra ->  Average -> SOLUTION: The average of 8, 6, 9, 12 and 4x is x. What is the value of x? Leonardo earns $100 for each oil painting. His expenses are $75 for start-up plus $35 per painting. How many       Log On


   

Question 183993: The average of 8, 6, 9, 12 and 4x is x. What is the value of x?


Leonardo earns $100 for each oil painting. His expenses are $75 for start-up plus $35 per painting. How many paintings does he have to paint to break even?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the average of the five values 8, 6, 9, 12, and 4x is x, then:



You should be able to handle it from here.

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Cost function: where x is the number of paintings created.

Revenue function where x is the number of paintings sold.

In order to break even, the Revenue function must be greater than or equal to the Cost function, so:



But not being able to get my arms around the idea that someone would pay for of a painting, we have to go to the next higher integer, namely 2.


John