The solution of the system of three inequalities is given by a polygonal convex set.
8x + 2y ≥ 36
-3x + 6y ≤ 27
-7x + 5y ≥ -18
The function f(x,y) = 9x + 5y passes through this set. What values of (x,y) give f(x,y) its maximum value?
A)(-3, 2)
B)(-3, 6)
C)(9, 9)
D)(8, 2)
+130511 Here's the graphical solution to this problem.......https://www.desmos.com/calculator/vz1jfyne4s
The corner points of the feasible region occur at (3,6) (4,2) and (9,9)
And any max or min occurs at a corner point ... in this case, (9, 9) maximizes f(x,y) = 9x + 5y ......(4, 2) would minimize this, given the constraints.....
+130511 Here's the graphical solution to this problem.......https://www.desmos.com/calculator/vz1jfyne4s
The corner points of the feasible region occur at (3,6) (4,2) and (9,9)
And any max or min occurs at a corner point ... in this case, (9, 9) maximizes f(x,y) = 9x + 5y ......(4, 2) would minimize this, given the constraints.....
