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5. An accounting firm must complete three jobs during the next month. Job 1 will require 500 hours of work, Job 2 will require 300

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5. An accounting firm must complete three jobs during the next month. Job 1 will require 500 hours of work, Job 2 will require 300 hours of work, and Job 3 will require 100 hours of work. Currently the firm consists of 5 partners, 5 senior employees and 5 junior employees, each whom can work up to 40 hours per month. The dollar amount (per hour) that the company can bill depends on the type of the accountant who is assigned to each job is given in the following table. ( X indicates that a junior employee does not have enough experience to work on Job 1) Table 5: Billing amounts All jobs must be completed. The firm has also set the following goals listed in the order of priority: Goal 1: Monthly billings should exceed $68000. Goal 2 : At most 1 partner should be hired. Goal 3 : At most 3 senior employees should be hired. Goal 4 : At most 4 junior employees should be hired. Formulate a GP for this situation

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