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Case: Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake View Winery. The company estimates that 150 hours will be required to complete the project. The firm's three graphic designers available for assignment to this project are Ming, a senior designer and team leader; Raj, a senior designer; and Sarah, a junior designer. Because Ming has worked on several projects for Lake View Winery, management specified that Ming must be assigned at least 40% of the total number of hours assigned to the two senior designers. To provide label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers. Due to other project commitments, Ming has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Ming, $25 for Raj, and $18 for Sarah.
Industrial Design wants to minimize total cost of the project.
Question 1: Suppose Sarah could be assigned up to one more hour beyond the % of senior time limit. Then what would be the new minimum total cost of the project?
Question 2: Suppose Sarah could be assigned up to one more hour beyond what she would be assigned if not allowed one more hour. Then what would be the new minimum total cost of the project?
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