Solution (cont.)
2.- Determination of Constraints
Number of errors not to exceed (less than) 80
Number of errors = 4(pages/hr)XA(hrs) 3(errors/page)+ 2.5(pages/hr)XC(hrs)1(error/page) = 12 XA + 2.5XC £ 80
Total number of Hours available to perform the task (8) = XA + XC £ 8
Number of Hours available for C to perform the task (6)= XC £6
Non-negative values for the decision variables: XA, XC ³ 0
Final formulation of the problem
Maximize z = 1.6XA + 2.0XC
Subject to:
12 XA + 2.5XC £ 80
XA + XC £ 8
XC £ 6
XA, XC ³ 0