The corner points for the bounded feasible region determined by the system of inequalities shown below are O = (0,0), A = (0,5), B = (9,2), and C= (10,0). Which conditions on a and b will ensure that the maximum value of P occurs at both B and C? x+ 3y s 15 O A. OB. b a b< 2x + y s 20 X, y 2 0 If P = ax + by and a, b>0, determine conditions on a and b that will ensure that the maximum value of P occurs at both B and C. a< OC. b> 2a O D. a> 2b OE. b O F. b= 2a a = OG. O H. a= 2b a b=3 O1. O J. a 3

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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The corner points for the bounded feasible region determined by
the system of inequalities shown below are O = (0,0), A = (0,5),
B = (9,2), and C= (10,0).
Which conditions on a and b will ensure that the maximum value
of P occurs at both B and C?
x+ 3y s 15
O A.
OB.
b
a
b<
2x + y s 20
X, y 2 0
If P = ax + by and a, b>0, determine conditions on a and b that
will ensure that the maximum value of P occurs at both B and C.
a<
OC. b> 2a
O D. a> 2b
OE.
b
O F. b= 2a
a =
OG.
O H. a= 2b
a
b=3
O1.
O J. a
3 <b< 2a
b
3 ra<2b
Transcribed Image Text:The corner points for the bounded feasible region determined by the system of inequalities shown below are O = (0,0), A = (0,5), B = (9,2), and C= (10,0). Which conditions on a and b will ensure that the maximum value of P occurs at both B and C? x+ 3y s 15 O A. OB. b a b< 2x + y s 20 X, y 2 0 If P = ax + by and a, b>0, determine conditions on a and b that will ensure that the maximum value of P occurs at both B and C. a< OC. b> 2a O D. a> 2b OE. b O F. b= 2a a = OG. O H. a= 2b a b=3 O1. O J. a 3 <b< 2a b 3 ra<2b
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