Exam 2 Q#15

Exam 2 Q#15 - 1) The Assembly hours should be less than or...

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Playtime Inc. makes children’s backyard play equipment. Jungle Gym I requires 3 labour- hours of assembly and 2 labour-hours of testing. Jungle Gym II requires 4 labour-hours of assembly and 1 labour-hours of testing. Each day there are 32 labour-hours available for assembly and 13 labour-hours available for testing. How many of each Jungle Gym should Playtime Inc. produce each day to maximize its total daily output? Be sure to provide the table, the objective function, the graph, the vertices, the test, and the final answer. Your response to this question will be a file attachment; it may be a typed word document or a scan of a very neat, organized handwritten document. The graph should be to scale with all labels shown. Answer: Assembly hours = 3x + 4y Testing hours = 2x + y
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Unformatted text preview: 1) The Assembly hours should be less than or equal to 32 3x + 4y <= 32. 2) The Testing hours should be less than or equal to 13 2x + y <= 13. 3) The values of x & y should be greater than or equal to zero x >= 0 & y >= 0. (4, 5) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 Number of Gym-I Number of Gym-II Assembly Hours Testing Hours The lines on the graph show the number of each of the gyms the company can produce with the available resources. To maximize the daily output the company should produce so that all the resources are fully utilized. So the best possible option is producing 4 Gym-I and 5 Gym-II. There are other options as well. Gym-I Gym-II Total Gyms 8 8 1 7 8 2 6 8 4 5 9 4 4 8 4 3 7 5 2 7 6 1 7 6 6 4 Gyms-I & 5 Gym-II....
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Exam 2 Q#15 - 1) The Assembly hours should be less than or...

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