Assignment 1 • 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...

Extracted text: Assignment 1 • 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 Hours/Unit Product Line 2 Line 1 A 12 B 4 Total hours 60 40 Assignment 1 Con't 77 (a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. (b) Solve Problem graphically. (c) Transform this model into standard form. (d) Identify the amount of unused resources (i.e., slack) at each of the graphical extreme points. (e) What would be the effect on the optimal solution if the production time on line 1 was reduced to 4o hours? (f) What would be the effect on the optimal solution if the profit for product B was increased from $7 to $15? to $20?