@TheSmartOne find the maximum
profit if P = 4x + 5y.

Question

@TheSmartOne find the maximum
      profit if P = 4x + 5y.

danjs · Answer

is there more to this question?

danjs · Answer

is this a part of a larger question or something?

anonymous · Answer

Kind of, I don't see how it relates though. 
Graph the feasibility region represented by the given inequalities and find the maximum
      profit if P = 4x + 5y.
	
	x ≥ 5
	
	y ≤ 10

	2x - y ≤ 8

anonymous · Answer

$$x \ge 5$$

anonymous · Answer

$$y \le10$$

anonymous · Answer

$$2x-y \le8$$

danjs · Answer

Check this out, it is similar to your problem http://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.322796.html

danjs · Answer

The process is:
a) Plot the graph for each
b) Find the four corner points
c) Find the profit for each Point
d) What is the maximum profit?

danjs · Answer

Here is the graph of this problem

danjs · Answer

find the profit for those points, which is the max

danjs · Answer

Profit = 4x + 5y

Try points (x,y) =  (5,10), (5,2), and (9,10) ...which has the highest profit

anonymous · Answer

(9, 10)?

danjs · Answer

U understand?  the profit is restricted by those 3 given conditions, x is greater or equal to 5, y is less or equal to 10, and 2x-y is less than or equal to 8

danjs · Answer

the profit has to be contained in the overlapping region of those 3 inequalities, the triangle formed on that linked graph..

danjs · Answer

Try, (x,y) = (9,10)

Profit = 4*9 + 5*10  = 36 + 50 = 86

danjs · Answer

yep, that is greater than the other points

anonymous · Answer

Nevermind, I misread. I think your answer's correct. Thank you.

danjs · Answer

no prob, i think the main point of the prob, is to realize the restriction on the x and y values for the profit function... Which is the triangle formed by the overlap of the 3 graphs.

danjs · Answer

and the maximum and minimum values, will be somewhere on those vertices of the triangle

anonymous · Answer

The graph that I got and you got a different.

anonymous · Answer

Nevermind, I took the wrong part of the graph.

danjs · Answer

That is the same graph, make the view window larger

danjs · Answer

If ya get stuck in the future, you can tag me to a question with @DanJS if you want