To calculate: The minimum and minimum value, checked they exists, of the objective function
The minimum value is 34.
Given Information:
The system of inequality is,
Calculation:
Consider the given system of inequality,
Use the graphing calculator to draw the inequality.
The
Write the inequality as equation and find the intersecting point.
Find the intersecting points between the equations.
Substitute
The obtained point is
Substitute
The obtained point is
Substitute
The obtained point is
Substitute
The obtained point is
So, mentioned the point on the graph and shaded the common region.
Find the value of the objective function at the all vertices.
Substitute 0 for x and 10 for y in the objective function.
Substitute 2 for x and 7 for y in the objective function.
Substitute 8 for x and 2 for y in the objective function.
Substitute 15 for x and 0 for y in the objective function.
Since the feasible region is unbounded and has
Therefore, the minimum value is 34.
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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