Exercise 1.5 Louis and Carrie Anne are students who have set up a summer business in their neighbourhood. They cut lawns and clean cars. Couis is particularly efficient at cutting the grass - he requires one hour to cut a typical lawn, while Carrie Anne needs one and one half hours. In contrast, Carrie Anne can wash a car in a half hour, while Couis requires three quarters of an hour. (a) If they decide to specialize in the tasks, who should cut the grass ang who should wash cars? (6) If they each work a twelve hour day, how many lawns can they cut and how many cars can they wash if they each specialize in performing the task where they are most efficient? (c) Illustrate the PPF for each individual where lawns are on the horizontal axis and car washes

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Exercise 1.5 Couis and Carrie Anne are students who have set up a
summer business in their
neighbourhood. They cut lawns and clean cars. Couis is particularly
efficient at cutting the grass
he requires one hour to cut a typical lawn, while Carrie Anne needs one
and one half hours. In
contrast, Carrie Anne can wash a car in a half hour, while Couis requires
three quarters of an hour.
(a) If they decide to specialize in the tasks, who should cut the grass and
who should wash cars?
(6) If they each work a twelve hour day, how many lawns can they cut
and how many cars can
they wash if they each specialize in performing the task where they are
most efficient?
c) Illustrate the PPF for each individual where lawns are on the
horizontal axis and car washes
on the vertical axis, if each individual has twelve hours in a day.
Transcribed Image Text:Exercise 1.5 Couis and Carrie Anne are students who have set up a summer business in their neighbourhood. They cut lawns and clean cars. Couis is particularly efficient at cutting the grass he requires one hour to cut a typical lawn, while Carrie Anne needs one and one half hours. In contrast, Carrie Anne can wash a car in a half hour, while Couis requires three quarters of an hour. (a) If they decide to specialize in the tasks, who should cut the grass and who should wash cars? (6) If they each work a twelve hour day, how many lawns can they cut and how many cars can they wash if they each specialize in performing the task where they are most efficient? c) Illustrate the PPF for each individual where lawns are on the horizontal axis and car washes on the vertical axis, if each individual has twelve hours in a day.
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