Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 37

Solve Problem graphically.
a. Identify the amount of unused resources (i.e., slack) at each of the graphical extreme points.
b. What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours
c. What would be the effect on the optimal solution if the profit for product B was increased from $7 to $15 to $20
Problem
A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows:
a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.
b. Transform this model into standard form.