For the products A, B, C, and D, which of the following could be a linear programming objective function? Z = 1A + 2BC + 3D Z = 1A + 2AB + 3ABC + 4ABCD Z = 1A + 2B + 3C + 4D Z = 1A + 2B/C + 3D Z = 1A + 2B - 1CD

Question

Ross Nichols

Mathematics

18 September, 01:27

For the products A, B, C, and D, which of the following could be a linear programming objective function? Z = 1A + 2BC + 3D Z = 1A + 2AB + 3ABC + 4ABCD Z = 1A + 2B + 3C + 4D Z = 1A + 2B/C + 3D Z = 1A + 2B - 1CD

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Answers (1)

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Dane Hays · Answer 1

Z = 1A + 2B + 3C + 4D

Step-by-step explanation:

Assuming A, B, C and D are the variables of the mathematical program, the function will be linear if it is represented as an addition of the variables affected by some coefficient, like 1, - 2, 3, et cetera. Any other combination of the variables will result in a nonlinear program, e. g. multiplication or division of the variables, application of powers to the variables and so on.