Question

Graph the system of constraints and find the value of x and y that maximize the objective function.



(1 point)
(0, 0)
(2, 3)
(5, 0)
(0, 3)

Answer 1

@JakeV8

Answer 2

I am still learning these too... but here's what I think I know...

Answer 3

just graph the inequalities that are the constraints. This is straightforward, just like when you first learned about y < x or whatever.

The space or region that is the overlapping area of those constraints represents the possible set of x,y points for the objective equation.

Answer 4

Here's the part I'm less sure of:

I think the technique is simply a smart trial and error. Choose an x and y, find the objective function value. Choose a better x or better y, repeat, and compare.

I think this is the topic of some algorithm classes... developing efficient algorithms at finding optimal solutions within highly constrained spaces.

Engineering, by chance?

Answer 5

So then what should I do?

Answer 6

well, thankfully, you have multiple choice. Just try each of those answers and evaluate C from the objective function, and the answer that makes the biggest C value wins.

Answer 7

@sue101 Does this help? I have to run in a sec and didn't get a chance to plot the inequalities. I think you just sketch those out, and then try the options from the multiple choice one at a time.

"Maximize the objective function" means "pick the x,y pair that gives the largest value of C"

good luck!