Chap 49 Review

Exercise 1 The figure shows an objective function (contour plot) with two different constraints: an inequality constraint (satified outside the blue region), and an equality constraint (brown).

  1. What is the min of the objective function, ignoring the constraints? (Choose the closest answer.)
0       -4.5       -6       11      

question id: panda-go-kayak-1

  1. What is the max of the objective function, ignoring the constraints?
0       4       6       11      

question id: panda-go-kayak-2

Sometimes, the argmax would not change if a constraint were removed entirely. Such constraints are said to be inactive. An active constraint is one where the presence of the constraint changes the argmax from what it would otherwise be.

  1. What is the min of the objective function, subject only to the equality constraint? Is the equality constraint active? (Pick the closest answer.)
-4.5 active       -4.5 not active       -6 active       6 active      

question id: panda-go-kayak-3

  1. What is the max of the objective function, subject only to the inequality constraint? Is the constraint active?
0 active       3 not active       11 active       11 not active      

question id: panda-go-kayak-4

  1. Subject to both the equality and the inequality constraints, what is the max of the objective function? Are both constraints active?

0 only inequality constraint is active

0 neither constraint is active

2 both constraints are active

2 only equality constraint is active

question id: panda-go-kayak-5

No answers yet collected