For the products A,B,C,and D,which of the following could be a linear programming objective function?
A)P = 1A + 2B +3C + 4D
B)P = 1A + 2BC +3D
C)P = 1A + 2AB +3ABC + 4ABCD
D)P = 1A + 2B/C +3D
E)All of the above

Question

For the products A,B,C,and D,which of the following could be a linear programming objective function?
A)P = 1A + 2B +3C + 4D 
B)P = 1A + 2BC +3D 
C)P = 1A + 2AB +3ABC + 4ABCD 
D)P = 1A + 2B/C +3D 
E)All of the above

Quizplus · Accepted Answer

The objective function in linear programming should be a linear equation, which means that it should be a sum of constant multiples of the decision variables. Option A satisfies this requirement and includes all the decision variables A, B, C, and D. Option B includes a product of two decision variables, which is not a linear equation. Option C includes products of more than two decision variables, which is also not a linear equation. Option D includes a fraction, which is not a linear equation.

For the Products A,B,C,and D,which of the Following Could Be