Question

An
economy consist of Julian, Jafahre, and Lou. Each works 10 hours a
day and can produce two services: mowing lawns and washing cars. In
an hour , Julian can either mow one lawn or wash one car; Jafahre
can either mow one lawn or wash two cars; and Lou can either mow
two lawns or wash one car.

A. Calculate how much each service is produced under the
following circumstances, which are labeled A,B,C,D:

1. All three spend their time mowing lawns (A)

2. All three spend their time washing cars.(B)

3. All three spend half their time on each activity(C)

4. Julian spends half his time on each activity, while Jafahre
only washes cars and Lou only mows lawns (D)

Answer #1

given ,

in an hour...

julian--- either 1 L or 1 C

jafahre-- either 1 L or 2 C

Lou---either 2 L or 1 C

- now if all spend their time in mowing lawns

then total service produced in mowing lawns for 10 hours is (1+1+2)*10=40 lawns mowed

- if all three spend their time in washing cars

then total number of car washed =( 1+2+1)*10=40 cars

- if all spend half of their time in each activity then total service produced =(1+2+1)*5+(1+2+1)*5=80
- if julian spends half his time on each activity while jafahre only washes car and lou mows only lawns then.. julian 5*1+5*1=10 , jafahre 2*10=20 , Lou 2*10=20..therefore total service produced is 50

4. Problems and Applications Q4
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