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 only at A .
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 only at A .
Solution Summary: The author explains that the maximum value of the objective function P=ax+10y occurs only at A 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 only at
A
.
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY