#
Brs Mdm3 Tif Ch04
**Topics:**
Optimization,
Linear programming,
Binary relation,
Operations research,
Price /
**Pages:** 20 (4332 words) /
**Published:** Jan 11th, 2015

**Topics:**Optimization, Linear programming, Binary relation, Operations research, Price /

**Pages:**20 (4332 words) /

**Published:**Jan 11th, 2015

Chapter 4 Linear Programming Sensitivity Analysis

4.1 Chapter Questions

1) Surplus is typically associated with which type of constraints?

A) ≤

B) ≥

C) =

D) ≠

E) ±

Answer: B

Page Ref: 124

Topic: Sensitivity Analysis Using Graphs

Difficulty: Easy

2) Assume that the shadow price of a non-binding "≤" constraint is 5. This implies that:

A) if the right-hand side value of the constraint increases by 1 unit, the objective function value will increase by 5 units

B) if the right-hand side value of the constraint increases by 1 unit, the objective function value will decrease by 5 units

C) if the right-hand side value of the constraint increases by 1 unit, the objective function value will remain unchanged

D) if the right-hand side value of the constraint decreases by 1 unit, the objective function value will increase by 5 units

E) if the objective function coefficient increases by 1 unit, the shadow price will increase by 5 units

Answer: C

Page Ref: 124

Topic: Sensitivity Analysis Using Graphs

Difficulty: Easy

3) A constraint has a slack of 5 units. This implies that:

A) this constraint has exceeded its minimal requirement by 5 units

B) this constraint has consumed 5 units of its resource

C) this constraint has a surplus of 5 units

D) this constraint is binding

E) this constraint has 5 units of its resource unconsumed

Answer: E

Page Ref: 127

Topic: Sensitivity Analysis Using Graphs

Difficulty: Easy

4) A constraint has a surplus of 10 units. This implies that:

A) this constraint has exceeded its minimal requirement by 10 units

B) this constraint has consumed 10 units of its resource

C) this constraint has a slack of 10 units

D) this constraint has 10 units of its resource unconsumed

E) this constraint is binding

Answer: A

Page Ref: 142

Topic: Sensitivity Analysis for a Minimization Example

Difficulty: Easy

5) Impact of changes in RHS values of constraints is typically