The max weight of package 1 is 5lbs and the max weight of package 2 is 3lbs.

The prices and weights of each artice go as following.

Article 1: 0.1 lbs, 5$

Article 2: 0.4 lbs, 0.75$

Article 3: 1.2 lbs, 3.50$

Article 4: 1.3 lbs, 12$

Article 5: 0.8 lbs, 2$

Article 6: 2lbs, 15$

To satisfy the wished demand the package 1 must have at least 3 articles and the package 2 must have at lest 2 articles.

Give the mathematic model to maximize benefits.

Extra: if the same product can't be in both packages and every product must end up in one package, give a mathematic model that can consider these aspects.

As of right now I have the following.

Variables: x1, x2 . . . x6 each one representing one product.

Objetive function:

Maximize Z = 5x1 + 0.75x2 + 3.5x3 + 12x4 + 2x5 +15x6

Constraints

- 0.1x1 + 0.4x2 + 1.2x3 + 1.3 x4 + 08x5 + 2x6 <= 5 //Package 1

- 0.1x1 + 0.4x2 + 1.2x3 + 1.3 x4 + 08x5 + 2x6 <= 3 //Package 2

Also I'm having trouble with the extra part of the excersie.