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Two type of machines — Regular (X) and Deluxe (Y) — are produced by a factory. A linear programming model is

used to determine the production schedule. The formulation is as follows:

Max Z = 80X + 55Y


Subject to: 4x + 2y ≤ 40

                   2x + 4y ≤ 32

All x, y, ≥ 0. 

The optimal solution is X = 8, Y = 4.

How many units of the Deluxe model would be produced based on this solution?

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