If the person looks to rent a flat in city B, the extra time required each month for commuting is 7 hours, and the rent reduced by $135. We also know that the value of time is $20/ hour. The person should choose to rent a home in location A only as the cost of 7 hours which = $140 is more than the decrease in rent which is $135 by $5. In the same way it will become more expensive to rent an apartment in location C and location D as the time taken increases the same amount and the rent also decreases by the same amount.
So the person should look to hire an apartment in location A.
If a person used to stay in location C and now has moved to location A in order to optimise, the person will now save 14 hours of time per month in commuting but his rent to be paid in location A will also increase by $270. And the value of time is $20/hour. So the benefit by decreasing the time in commuting is 14*20 = $280. So by moving to location A, the perosn saves $280-$270=$10.
So by moving to location A, the person increases it’s net benefits by $10.
Instructor-created question Sahve the following optimal apartment location problem using Suppose you narrowed your apartment list...
Solve the following optimal apartment location problem using optimization in differences Suppose you narrowed your apartment list to four. Those apartments are in four locations: Location A, Location B, Location C, and Location D. Location A is in the city, where your job is. Location B amounts to 7 hours more of commuting per month than Location A. Location C amounts to 7 hours more of commuting per month than Location B, and Location D amounts to 7 hours more...
Suppose apartments are in four locations: Location A, Location B, Location C, and Location D. Location A is in the city, where your job is. Location B is 10 minutes farther from your job than Location A. Location C is 10 minutes farther from your job than Location B, and Location D is 10 minutes farther than Location C. In turn, similar apartments in Location B rent for $185 less per month than apartments in Location A, apartments in Location...