Question

1. (15 pts) One of your friends states that to protect his mental and physical health he has to work out but also has to go out with his friends. His gym routine lasts about 2 hours and if he goes out with his friends that lasts for 5 hours. Your friend is also a math geek and tells you that his satisfaction from both of these activities can be modeled by where g is the number of times he goes to the gym in a month and s is the number of times he goes out with his friends in a month. Unfortunately he has to study and work too therefore he has at most 80 hours in a month that he can spend on these two activities. (Please us S for the constraint.) (a) Can you help your friend to maximize his satisfaction, namely how should he distribute his at most 80 hours between gym and going out? (b) Compute λ and interpret it.

Answer 1

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Solution:-

we use MethoA のf tana"( Multipliers equatiims

召D . OL DC

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