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A commercial truck dealership gets an allocation for 100 trucks from the manufacturer. Model A can be sold at $4500 above factory invoice, Model B at $5200, Model C at $4500, Model D at $4000. The dealership sold plenty of trucks last year, and is now including the halo model, (Model Elite-t Limited) in that allocation. This new model can be marked up at $16500 above invoice.
The Mathematical Model I came up with is:
X1 - Model A
X2 - Model B
X3 - Model C
X4 - Model D
X5 - Model E
X6 - TOTAL
-------
X4 <= .25* X6
X3 <= .05* X6
X5 = 19* X4
X6 <= (X2 + X4)*(2/3)
X1 + X2 + X3 + X4 + X5 = X6
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