Question: An objective function and a system of linear inequalities representing constraints are given. Complete parts(a) through(c). Objective Functionz=7x+11y Constraints x+y11 x+2y12 a. Graph the system

An objective function and a system of linear inequalities representing constraints are given. Complete parts(a) through(c).

Objective Functionz=7x+11y

Constraints

x+y11

x+2y12

a. Graph the system of inequalities representing the constraints on the given graph of the first Quadrant.

Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.

b. Find the value of the objective function at each corner of the graphed region bounded by the given constraints and the boundaries of the firstQuadrant, x0 and y0.

The values of the objective function are

c. Use the values in part(b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

The maximum value of z is z=

The maximum occurs at

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