- #1

chwala

Gold Member

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I recently encountered this problem in maximization...

Maximize 1170X1 + 1110X2

Subject to

1. 9x1 +5x2 ≥ 500

2. 7x1 +9x2 ≥ 300

3. 5x1 + 3x2 ≤ 1500

4. 7x1 + 9x2 ≤ 1900

5. 2x1 + 4x2 ≤ 1000

X1,X2 ≥ 0

Where it was stated that 9x1 +5x2 ≥ 500 and 7x1 + 9x2 ≤ 1900 are the two constraints forming the feasible region…I was just wondering why the two…..

IN

1. When x1 =0 x2 = 100, when x2 =0 x1=55.556….i n (2) x1=42.85 x2=33.33 evidently x1,x2 in (1) is bigger than (2)

2. In (4) x1=271.42 x2=211.11

In (5) x1=500 x2=250 a problem here why is 4 taken as one of the constraints and yet the values of x1 and x2 in 5 are greater than in 4 ?

Am puzzled…