BA 452 Lesson A.1 Formulating Linear Programs 40 Answer : n Define decision variables (assuming positive use of both machines; a general solution requires binary variables from Part II of the course): M1 = number of hours spent on the M-100 machine M1 = number of hours spent on the M-100 machine 25 M1 is the production of cases from the M-100 machine25 M1 is the production of cases from the M-100 machine 18(25) M1 is the revenue from production from the M-100 machine18(25) M1 is the revenue from production from the M-100 machine 40 M1 is the raw material used by the M-100 machine40 M1 is the raw material used by the M-100 machine M2 = number of hours spent on the M-200 machine M2 = number of hours spent on the M-200 machine 40 M2 is the production of cases from the M-200 machine40 M2 is the production of cases from the M-200 machine 18(40) M2 is the revenue from production from the M-200 machine18(40) M2 is the revenue from production from the M-200 machine 50 M2 is the raw material used by the M-200 machine50 M2 is the raw material used by the M-200 machine n Total revenue = 18(25) M1 + 18(40) M2 = 450 M M2 n Total cost = 6(40) M1 + 6(50) M M M2 = 290 M M2 Resource Allocation with Machines
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