Question: A linear programming model has been formulated for 2 products X and Y with objective function: C=5X+6Y. Where C= contribution, Y= number of product Y,

A linear programming model has been formulated for 2 products X and Y with objective function: C=5X+6Y. Where C= contribution, Y= number of product Y, X= number of product X.

Each unit of X uses 2kg of material A. Each unit Y uses 3kg of product A. Standard cost for material A are $2 per kg.

The shadow price are $2.80 per per kg.

If an extra 75kg of material A becomes available at $2 per kg , what will the maximum increase in contribution be?

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