X 16 y 382 x 0 y 0 d 36x 62 y 504 62x 83y 1195 28 x

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x+ 16y≥ 382, x≥ 0, d) 36x+ 62y≤ 504, 62x+ 83y≤ 1195, 28x+ 16y≤ 382, x≥ 0, e) 36x+ 62y≤ 504, 45x+ 83y≥ 1195, 28x+ 16y≤ 382, x≥ 0, f) None of the above.
y≥ 0
y≥ 0
y≥ 0
Question 14 Your answer is CORRECT. A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 23 hours per week on fieldwork and 17 hours per week at the university's research center. Each professional researcher will need to work 15 hours per week on fieldwork and 25 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 154 and the minimum number of hours needed per week at the research center is 140. Each research assistant will be paid $295
per week and each professional researcher will be paid $416 per week. Let xdenote the number of graduate research assistants hired and let ydenote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.
y≥ 0
y≥ 0
y≥ 0
y≥ 0
y≥ 0

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