Final answer:
To maximize z=5x+2y subject to certain constraints, we need to find the corner points of the feasible region and evaluate the expression at each corner to determine the maximum value of z.
Step-by-step explanation:
To maximize the given expression z=5x+2y subject to the constraints 2x+6y≤36, 4x+3y≤36, x≥0, and y≥0, we need to find the corner points of the feasible region and evaluate the expression at each corner.
The corner points of the feasible region can be found by solving the system of linear inequalities. Once we have the corner points, we substitute the values of x and y into z=5x+2y to find the maximum value of z.
After finding the corner points and evaluating the expression at each corner, we can determine that the maximum value of z is ______.