Find the vaules of x and y that maxmize the objective function p= 3x+2y for the graph. what is the maximum value

answer:

step-by-step explanation:

graph the inequalities.

the intersection is known as the ‘feasible’ region.

the ‘corners’ of the feasible region are (0,0), (2,0), (2,2), (0,4), and (1.5,3).

plugging those (x,y) values into the constraint to be maximized:

3(0) + 2(0) = 0

3(0) + 2(4) = 8

3(2) + 2(0) = 6

3(1.5) +2(3) = 10.5   →maximum

3(2) + 2(2) = 10

solution is (1.5, 3)

if the result must contain whole numbers only, then (2, 2)

there is also the 'simplex' method, if that is a topic you have covered.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

according to egenuity the answer is

step-by-step explanation:

d. 344.22