# Question

Read the referenced article that fully describes the OR study summarized in the application vignette presented in Sec. 12.5. Briefly describe how integer programming was applied in this study. Then list the various financial and nonfinancial benefits that resulted from this study.

## Answer to relevant Questions

Consider the following IP problem: Maximize Z = 5x1 + x2, Subject to and x1 ≥ 0, x2 ≥ 0 x1, x2 are integers. (a) Solve this problem graphically. Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following problem interactively: Maximize Z = 2x1 – x2 + 5x3 – 3x4 + 4x5, Subject to and xj is binary, for j = 1, 2, . . . , 5. Five jobs need to be done on a certain machine. However, the setup time for each job depends upon which job immediately preceded it, as shown by the following table: The objective is to schedule the sequence of jobs that ...Consider the IP example discussed in Sec. 12.5 and illustrated in Fig. 12.3. Use the MIP branch-and-bound algorithm presented in Sec. 12.7 to solve this problem interactively. Use the following set of constraints for the same pure BIP problem to fix as many variables as possible. Also identify the constraints which become redundant because of the fixed variables.Post your question

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