Question

Linear Programming help: y>= x+500 , x+y>= 4000 , x>=1000
If x = 1750, and y = 2250, then for each of x gives a profit a, and y gives a profit b, what restriction is on a and b for max profit.

Answer 1

use >= for greater than or equal

Answer 2

Okie doke, changed that.

Answer 3

I think you should see if (1750,2250) meets all the restrictions

Answer 4

Uhh, ok its with sensitivity

Answer 5

umm, i think the question is asking what the value of a and b, can be within that region to give the maximum profit.

Answer 6

my profit equation was 0.4x + 0.6 y

Answer 7

the point (1750,2250) is not a region, it is a single point.
is there more background on this question ?

Answer 8

The question is. If each kg of x gives a profit of a cents (a>= 0) and each kg of material b gives a profit of b cents (b>=0) what restriction is there on a and b if the maximum profit only occurs when the company orders 1750kg of A and 2250kg of B?

Answer 9

hmm this is odd, the answer is given just as a>b

Answer 10

Just to be clear, is the "x" in
The question is. If each kg of x gives

really A ?

Answer 11

yes, when i tested the sensitivity of the equation i got -0.6=<x=<0.6 and -0.4=<y=<0.4

Answer 12

where x =a and y=b

Answer 13

It is starting to make sense... the point (1750,2250) is at a V , with y at a minimum
if you move to the left or right (changing the x) , y goes up

now if the point (1750,2250) is known to be the max profit, that means as y goes up your profit goes down... I think that means a > b

I have to think about the details to show this must be true...

Answer 14

Could you please explain this a little more for further clarification?