Question: Consider the linear optimization model Maximize 4x+2y Subject to 2x+y16x+y7x6x,y0 (a) Graph the constraints and identify the feasible region. (b) Choose a value and draw

Consider the linear optimization model Maximize 4x+2y Subject to 2x+y16x+y7x6x,y0 (a) Graph the constraints and identify the feasible region. (b) Choose a value and draw a line representing all combinations of x and y that make the objective function equal to that value. (c) Determine the optimal solution, (x,y). If the optimal solution is at the intersection point of two constraints, find the intersection point by solving the corresponding system of two equations. (d) Label the optimal solution(s) on your graph. (e) Calculate the optimal value of the objective function

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