The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle? 3 square units 6 square units 9 square units 12 square units

maximum area is 9 square units

Step-by-step explanation:

area equation is

find the derivative of the area equation and equate to 0

take the derivative and  equate to 0

Use this x value to evaluate the function  

= -(3-3)^2 +9

=0+9

=9 square units (this is the maximum area)

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

step-by-step explanation: