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.
product line1 line2
A 12 4
B 4 4
Total hrs 60 40
a) Formulate a linear programming model to determine the optimal product mix that will maximize profit.
b) Transform this model into standard for.
c) Determine the sensitivity ranges for the objective function coefficients, using graphical analysis.
d) Identify the amount of unused resources (i.e. slack) at each of the graphical extreme points.