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Answer to Question #88382 in Operations Research for Adrian

Question #88382
1.4 Given the constraints (10)
A+B + C <= 24, B +C >=8 and A >= 0, B >= 0, C>=  0.
Maximize 24-A-B - C
A: amount of time spent on school work
B: amount of time spent on fun
C: amount of time spent on pay work
Expert's answer

Maximize 24-A-B - C

given the constraints A+B + C @$\leq@$ 24, B +C @$\geq8@$ and @$A\geq0, B\geq0, C\geq0@$

Then

@$8\leq A+B+C\leq24@$

@$0\leq 24-A-B-C\leq16@$

@$ 24-A-B-C@$ has maximum value of 16 when

@$A=0, B+C=8, B\geq0, C\geq0@$

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