California Children’s Hospital currently uses a confusing, decentralized appointment and registration process for its patients. Therefore, the decision has been made to centralize the process by establishing one call center devoted exclusively to appointments and registration. The hospital manager now needs to develop a plan for how many employees of each kind (full-time or part-time, English speaking, Spanish speaking, or bilingual) should be hired for each of several possible work shifts. Linear programming is needed to find a plan that minimizes the total cost of providing a satisfactory level of service throughout the 14 hours that the call center will be open each weekday. The model requires more than two decision variables, so a software package such as described in Sec. 3.5 or Sec. 3.6 will be needed to solve the two versions of the model.
Answer to relevant QuestionsThe vice president for marketing of the Super Grain Corporation needs to develop a promotional campaign for the company’s new breakfast cereal. Three advertising media have been chosen for the campaign, but decisions now ...Consider the following problem. Maximize z = x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 4x3, Subject to and x1 ≥ 0, x2 ≥ 0. Repeat Prob. 4.4-3 for the following problem. Maximize Z = 2x1 + 3x2, Subject to and x1 ≥ 0, x2 ≥ 0. Consider the following problem. Maximize Z = 5x1 + x2 + 3x3 + 4x4, Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0. Work through the simplex method step by step to demonstrate that Z is unbounded.
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