Solve the polynomial expression 8x^2-3x^4-2+x+x^2-3
1 answer:
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Answer:
Option C.
Step-by-step explanation:
The given objective function is
Subject to constraints.
.... (1)
.... (2)
The related equations of given inequalities are
Table of values:
For inequality (1).
x y
0 15
15 0
For inequality (2).
x y
0 25
12.5 0
Plot these ordered pairs and draw the related lines.
Check both inequalities by (0,0).
True
True
In means (0,0) included in shaded region of both inequalities. means first quadrant.
From the below graph it is clear that the vertices of feasible region are (0,0), (0,15), (10,5) and (12.5,0).
Point P=15x+20y
(0,0) P=15(0)+20(0)=0
(0,15) P=15(0)+20(15)=300
(10,5) P=15(10)+20(5)=250
(12.5,0) P=187.5+20(0)=0
The maximum value of objective function is 300 at x=0 and y=15.
Therefore, the correct option is C.
