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 :)

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 :)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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 >.<

anonymous · Answer

Your right

anonymous · Answer

Thanks :)

anonymous · Answer

Now to delete this ;)