Chapter 19, Problem 7P

a)

Summary Introduction

To determine: The range of feasibility for each constraint.

Introduction:

Linear programming:

Linear programming is a mathematical modelling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

Range of feasibility:

It is the range of the values present in the right hand side quantities of a constraint. The shadow prices and variables attained in the solution will remain the same for the right hand side quantities.

b)

Summary Introduction

To determine: The range of optimality for the coefficients of the objective function.

Introduction:

Linear programming:

Linear programming is a mathematical modelling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

Range of optimality:

It is the range of values at which the coefficient of the objective function of a decision variable will change without changing either the list of the variables in the optimal quantities or the solution.