Graph the system of constraints.
3x+y≥4
x≥0
y≥0
Evaluate the objective function P = 12x − 5y for each of the vertices of the feasible region. Do any of the vertices represent a maximum value of the objective function? Explain why or why not.
A. No, because the system of constraints is inconsistent.
B. No, because the feasible region is unbounded.
C. Yes, the maximum value is 16 at (43,0).
D. Yes, the maximum value is 20 at (0,4).
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