Nanyang Eatery is located in a residential district and it is contemplating extending its operational hours beyond 9 pm. However, there is the concern that this may create noise  pollutions and affect the residents. The table below shows  Nanyang Eatery’s marginal cost of staying open later than 9pm  and also the marginal cost to affected residents. Assume that  Nanyang Eatery’s marginal revenue of staying open is $160 per hour.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
Problem 47PS
icon
Related questions
Question

Nanyang Eatery is located in a residential district and it is contemplating extending its operational hours beyond 9 pm. However, there is the concern that this may create noise  pollutions and affect the residents. The table below shows  Nanyang Eatery’s marginal cost of staying open later than 9pm  and also the marginal cost to affected residents. Assume that  Nanyang Eatery’s marginal revenue of staying open is $160 per hour.

Time of Operation

Nanyang Eatery’s Marginal Cost

Residents’ Marginal Cost

10pm 11pm

$120

$0

11pm 12am

$140

$20

12am – 1am

$160

$40

1am – 2am

$180

$80

 

(a) To maximize profit, what time would Nanyang Eatery open until? What time would the residents prefer that Nanyang Eatery to open until?

(b) To maximize social welfare, what time should Nanyang Eatery operate until? What can be done to make the residents agreeable  to this operating time?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning