Explain what a quadratic relationship is:

 Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function:

 P(x) = -4x²  + 80x- 300.

Where x is the number of Eye-Games sold.

a) What is the largest number of Eye-Games that the company can sell and still make profit? 

b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? 

Note well: question 2(a) is is about applying the quadratic formula and Question  is about finding the vertex and interpreting it.

 

Stadium View Apartment Complex has 30 apartments to rent. Historical data Trend suggests that any time rent increases by $60.00 per month one apartment becomes vacant. The current rent is $600.00 per month. 

How many $60.00 increases will enable Stadium View Apartments maximize its total monthly rent revenue?