Old -Linear programming - up where it may be found

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. English

    Posted by John on Wednesday, July 9, 2008 at 5:24pm. 1. I can swim very well. 2. I can't swim very well. How can we distinguish 'can' from 'can't'?
  2. physics

    A rock is tossed straight up with a velocity of 37.1 m/s. When it returns, it falls into a hole 18.8 m deep. What is the rock's velocity as it hits the bottom of the hole?
  3. math

    Posted by Austin on Thursday, November 13, 2008 at 9:19pm. Luis bought eight bags of candy at the store for a total price of $21.54. He bought some bags of candy that cost $2.22 each and the rest cost $3.48 each. How many bags of the …
  4. MATH

    Posted by polly on Wednesday, November 19, 2008 at 9:46pm. i am in the 6th and learning but stuck on this big one. NANCY IS GOING ON A TRIP THAT COST 4800.00 PLUS 216. FOR TAX SHE IS DEPOSITING 1200. SHE WILL PAY IT OFF IN 24MONTHS …
  5. Craig - baloon - calculus moved up

    Posted by Craig on Tuesday, November 25, 2008 at 7:54pm. t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is …
  6. linear programming problem

    P=-30x+25y Subject to 2x+3y>=30 2x+y<=26 -6x+5y<=50 x,y>=0 I need the minimize and maximaze
  7. physics

    Posted by Anonymous on Tuesday, December 2, 2008 at 12:43am. A loudspeaker is placed between two observers who are 114 m apart, along the line connecting them. If one observer records a sound level of 61.6 dB and the other records …
  8. MATH-Linear Programming

    Hey guys stumped on this one \HELP PLEAZE A.S.A.P. minimize p= 15x +18y subject to x+2y<=20 3x + 2y>= 36 x>=0 y>=0
  9. English

    Posted by John on Wednesday, March 19, 2008 at 3:08pm. 1. He is average height. 2. He is medium height. Are both grammatical?
  10. English

    Posted by rfvv on Tuesday, November 10, 2015 at 5:23pm. 1. Yosemite is famous for its natural wonders. 2. We arrived at Yosemite in the afternoon. ===================== In the sentences above, what does "Yosemite" mean?

More Similar Questions