Problems 41-48 refer to the bounded feasible region with corner points O = 0 , 0 , A = 0 , 5 , B = 4 , 3 , and C = 5 , 0 that is determined by the system of inequalities x + 2 y ≤ 10 3 x + y ≤ 15 x , y ≥ 0 If P = a x + 10 y , find all numbers a such that the maximum value of P occurs at both B and C .
Problems 41-48 refer to the bounded feasible region with corner points O = 0 , 0 , A = 0 , 5 , B = 4 , 3 , and C = 5 , 0 that is determined by the system of inequalities x + 2 y ≤ 10 3 x + y ≤ 15 x , y ≥ 0 If P = a x + 10 y , find all numbers a such that the maximum value of P occurs at both B and C .
Solution Summary: The author calculates that the maximum value of the objective function P=ax+10y occurs at both B and C if the bounded feasible region has the corner points.
Problems 41-48 refer to the bounded feasible region with corner points
O
=
0
,
0
,
A
=
0
,
5
,
B
=
4
,
3
, and
C
=
5
,
0
that is determined by the system of inequalities
x
+
2
y
≤
10
3
x
+
y
≤
15
x
,
y
≥
0
If
P
=
a
x
+
10
y
, find all numbers
a
such that the maximum value of
P
occurs at both
B
and
C
.
Fundamentals of Differential Equations and Boundary Value Problems
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