Question

Several forms of gasoline are produced during the petroleum refining process, and a last step combines them to obtain market products with specified quality measures. Suppose 4 different gasolines are available, with values for the 2 indexes of quality being 99 and 210, 70 and 335, 78 and 280, and 91 and 265, respectively. Using corresponding costs per barrel of $48, $43, $58, and $46, choose a minimum cost blend with a first quality index between 85 and 90 and a second quality index between 270 and 280.

a.) Formulate a blending LP to choose an optimal gasoline blend.

b.) Which of the constraints of your model are composition constraints? Explain.

c.) Enter and solve your model using AMPL

Answer 1

Solution 1: