Given the system of constraints name all vertices. Then find the maximum value of the given objective x≥0
y≥0
y≤ 1/3x+1
5≥y+x
Objective function C = 7x-2y

Step-by-step explanation:

The constraints are

The red line represents the function

At

At

Two points are

The blue line represents the function

at

at

Two points are

The other two constraints are , . So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

So, the maximum value of the function is .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

a

b

d

step-by-step explanation: