Federico, a music major, plays the piano h hours per day. The more he practices, the more money he makes playing at a local restaurant. He estimates that on average he gets $6 per hour of practice. Isabel is Federico's neighbor and runs a welding shop at home. Isabel makes $9 per hour she spends welding (w). Isabel enjoys Federico's music and that helps her welding. She estimates the costs of welding to be: C(w, h) = 10w-hw². The noise from Isabel's welding shop makes it more difficult for Federico to practice. Federico estimates that his costs are given by: C(w, h) = 5h+wh². What is the socially optimal number of hours practicing piano, h, and hours welding w? (a) (h, w) = (1, 1) (b) (h, w) = (√2, √2) (c) (h, w) = (2.2) (d) (h, w) = (√3, √√3)
Federico, a music major, plays the piano h hours per day. The more he practices, the more money he makes playing at a local restaurant. He estimates that on average he gets $6 per hour of practice. Isabel is Federico's neighbor and runs a welding shop at home. Isabel makes $9 per hour she spends welding (w). Isabel enjoys Federico's music and that helps her welding. She estimates the costs of welding to be: C(w, h) = 10w-hw². The noise from Isabel's welding shop makes it more difficult for Federico to practice. Federico estimates that his costs are given by: C(w, h) = 5h+wh². What is the socially optimal number of hours practicing piano, h, and hours welding w? (a) (h, w) = (1, 1) (b) (h, w) = (√2, √2) (c) (h, w) = (2.2) (d) (h, w) = (√3, √√3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:28. Federico, a music major, plays the piano h hours per day. The more he practices, the more money
he makes playing at a local restaurant. He estimates that on average he gets $6 per hour of practice.
Isabel is Federico's neighbor and runs a welding shop at home. Isabel makes $9 per hour she spends
welding (w). Isabel enjoys Federico's music and that helps her welding. She estimates the costs of
welding to be: C(w, h) = 10w-hw². The noise from Isabel's welding shop makes it more difficult for
Federico to practice. Federico estimates that his costs are given by: C(w, h) = 5h + wh². What is the
socially optimal number of hours practicing piano, h, and hours welding w?
(a) (h, w) = (1, 1)
(b) (h, w) = (√2, √2)
(c) (h, w) = (2.2)
(d) (h, w) = (√3, √3)
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