Which objective function has the same slope as this one: 4x + 2y = 20.
A) 2x + 4y = 20
B) 2x − 4y = 20
C) 4x − 2y = 20
D) 8x + 8y = 20
E) 4x + 2y = 10

Question

Quizplus · Accepted Answer

The slope of an objective function is determined by the ratio of the coefficients of x and y. In the given equation, 4x + 2y = 20, the ratio is 4/2 or 2. The only option that maintains this ratio is E) 4x + 2y = 10, where the ratio of the coefficients (4/2) is the same.

Which Objective Function Has the Same Slope as This One