Wednesday
August 27, 2014

Homework Help: Old -Linear programming - up where it may be found

Posted by Damon on Thursday, November 27, 2008 at 1:37pm.

Posted by Anonymous on Wednesday, November 26, 2008 at 8:49pm.

P=-30x+25y

Subject to 2x+3y>=30
2x+y<=26
-6x+5y<=50
x,y>=0

I need the minimize and maximaze

Responses

* linear programming problem - Damon, Thursday, November 27, 2008 at 1:35pm

One point at the origin, constrained to first quadrant.

first constraint #1
2x+3y>=30
when x = 0, y = 10
when x = 15, y = 0
area above that line is in our region (are you sure your arrow is correct?)

second constraint #2
2x+y<=26
when x = 0, y = 26
when x = 13, y = 0
area below that line is in

third constraint #3
-6x+5y<=50
when x = 0, y = 10
when x = -50/6 or -8 1/3 , y = 0
area below that line is in

sketch a graph. You see that our region of interest is a triangle from (0,10) to the intersection of #2 and #3 down to the intersection of #1 and #2
first #1 and #2
2x+3y=30
2x+y=26
gives
2 y = 4 or y = 2 then x = 12
so (12,2)
now #2 and #3
2x + y=26 -->6 x + 3y = 78
-6x+5y=50
gives
8y = 128
y = 16 then x = 5
so (5,16)
NOW
calculate P at (5,16) and (12,2) and (0,10) and chose the biggest or smallest whichever you want. If P is "profit", you probably want the biggest.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

linear programming problem - P=-30x+25y Subject to 2x+3y>=30 2x+y<=26 -6x+...
Craig - baloon - calculus moved up - Posted by Craig on Tuesday, November 25, ...
math - Posted by Austin on Thursday, November 13, 2008 at 9:19pm. Luis bought ...
MATH - Posted by polly on Wednesday, November 19, 2008 at 9:46pm. i am in the ...
English - Posted by John on Wednesday, March 19, 2008 at 3:08pm. 1. He is ...
physics - Posted by sandhu on Wednesday, November 24, 2010 at 4:29am. The ...
Math-linear programming - Which of the following mathematical relationships ...
To whoever "Anonymous" is - You posted this: Posted by Anonymous on Thursday, ...
English - Posted by John on Wednesday, July 9, 2008 at 5:24pm. 1. I can swim ...
physics - Posted by Anonymous on Tuesday, December 2, 2008 at 12:43am. A ...

Search
Members