Question

maximize the objective function 110x+170y, subject to the constraints.
x+2y≤240
30x+20y≥240
x≤40
x≥0
y≥0

Answer 1

you need to draw it on a piece of graph paper

Answer 2

i need to find the maximum value of the function and the vlaue of x and y

Answer 3

Are you sure 0 <= x <= 40?

Answer 4

yes

Answer 5

if you sketch the lines x +2y = 240, 30x + 20y = 240 and the vertical line x =0 and x = 40, and determine the region for x +2y <= 240, 30x + 20y >= 240, x<= 40, x>= 0, you will know your region of integration

Answer 6

i dont get it

Answer 7

do you have any calculus book with you?

Answer 8

i do, but its not asking me to graph anything

Answer 9

To find the local extremum of f in the interior of the region, you use second derivative test for function of two variables
To get the extremum on the boundary of the region, you use Lagrange multiplier method