FTo answer the second question if we increase the number of errors to 90 the first constraint would become:
·12 XA + 2.5XC [ 90
*Then to find the point where the two constraints intersect we would have to solve the set of equations
* 12 XA + 2.5XC =90
·XA + XC = 8
*Which would give us: XA=7.368 XC = 0.6315. The objective function evaluated at this point would be 13.05 (No increase of the optimal solution ànon-binding constraint)
*Doing the same with the other constraint we get
*12 XA + 2.5XC =80
·XA + XC = 9
*Which would give us : XA=6.05 XC = 2.94. The objective function evaluated at this point would be 15.57àIncrease of the optimal solutionàBinding constraint
*We choose to increase the number of hours instead of the number of errors allowed
F