20.  A maximizing linear programming problem has two​ constraints: 2X​ + 4Y ≤ 100 and 3X​ + 10Y ≤ ​210, in addition to constraints stating that both X and Y must be nonnegative. What are the corner points of the feasible region of this​ problem? Part 2   A. ​(20, 15)   B. ​(0, 0),​ (0, 25),​ (50, 0),​ (0, 21), and​ (70, 0)   C. ​(0, 0),​ (50, 0),​ (0, 21), and​ (20, 15)   D. ​(0, 0),​ (70, 0),​ (25, 0), and​ (15, 20)   E. ​(0, 0),​ (0, 100), and​ (210, 0)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 59P
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20. 

A maximizing linear programming problem has two​ constraints: 2X​ + 4Y
100 and
3X​ + 10Y
​210, in addition to constraints stating that both X and Y must be nonnegative. What are the corner points of the feasible region of this​ problem?
Part 2
 
A.
​(20, 15)
 
B.
​(0, 0),​ (0, 25),​ (50, 0),​ (0, 21), and​ (70, 0)
 
C.
​(0, 0),​ (50, 0),​ (0, 21), and​ (20, 15)
 
D.
​(0, 0),​ (70, 0),​ (25, 0), and​ (15, 20)
 
E.
​(0, 0),​ (0, 100), and​ (210, 0)
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