Question

Medal and fan!

Find the values of x and y that minimize the objective function C = 5x+8y for the constraints below.

Just need someone to check my work :)

Answer 1

Constraints:
\[4x+3y \ge30\]
\[x+3y\ge21\]
\[x \ge0,y \ge0\]

Answer 2

They tell me to write the equations in slope-intercept so I do:
\[y \ge-\frac{ 4}{ 3 }x+10\]
\[y \ge-\frac{ x }{ 3}+7\]

Answer 3

Then they tell me to list the vertices so I use my graphing calculator:
https://www.desmos.com/calculator/lu3gqjhp5v
:)

Answer 4

And if this is, is there a way to delete this? I really don't want any peeping toms who also need help on this to copy me >.<

Answer 5

Your right

Answer 6

Thanks :)

Answer 7

Now to delete this ;)