Refer to the scenario above. Formulate an appropriate objective function and constraints to model this as an assignment problem
What will be an ideal response?
Answer:
Min Z = 19∗SVL + 16∗SVP + 3∗SVM + 8∗SVA + 15∗SLL + 17∗SLP + 17∗SLM + 13∗SLA
+ 13∗SBL + 18∗SBP + 18∗SBM + 7∗SBA + 16∗SSL + 18∗SSP + 18∗SSM + 7SSA
Subject to:
SVL + SVP + SVM + SVA ≤ 600
SLL + SLP + SLM + SLA ≤ 500
SBL + SBP + SBM + SBA ≤ 400
SSL + SSP + SSM + SSA ≤ 470
SVL + SLL+ SBL + SVL ≥ 500
SVP + SLP + SBP + SSP ≥ 450
SVM + SLM + SBM + SSM ≥ 620
SVA + SLA+ SBA+ SSA ≥ 400
all S ≥ 0
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