Consider an economy with three types of individuals, differing only with respect to their preferences for dikes. Individuals of the first type get a fixed benefit of 250 from the mere existence of dikes, whatever their number. Individuals of the second type get benefits of B11 = 300 + 90D – 4D² where D denotes the number of dikes in the city. Individuals of the third type get benefits according to Br11 = 30D – 2D² for D < 2, but B1¡1 = 100 + 30D – 2D² for D 2. Assume that there are 50 people of each type. Dikes cost $3, 000 each to build. How many dikes should be built? %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
Consider an economy with three types of individuals, differing only with respect to their preferences for dikes. Individuals of the
first type get a fixed benefit of 250 from the mere existence of dikes, whatever their number. Individuals of the second type get
benefits of BI1 = 300 + 90D – 4D where D denotes the number of dikes in the city. Individuals of the third type get benefits
according to BIII = 30D – 2D² for D < 2, but Br11 = 100+30D – 2D² for D > 2. Assume that there are 50 people of
each type. Dikes cost $3, 000 each to build. How many dikes should be built?
Transcribed Image Text:Consider an economy with three types of individuals, differing only with respect to their preferences for dikes. Individuals of the first type get a fixed benefit of 250 from the mere existence of dikes, whatever their number. Individuals of the second type get benefits of BI1 = 300 + 90D – 4D where D denotes the number of dikes in the city. Individuals of the third type get benefits according to BIII = 30D – 2D² for D < 2, but Br11 = 100+30D – 2D² for D > 2. Assume that there are 50 people of each type. Dikes cost $3, 000 each to build. How many dikes should be built?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,