# 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

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

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

## Comments

## Leave a comment