An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand (in thousands per day) are shown in Table 2. What is the appropriate (non-linear) objective function for this scenario (hint: distances are euclidean)?  Zoey’s Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 − 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit.  What price should Zoey charge to maximize profit in question b

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand (in thousands per day) are shown in Table 2.

  1. What is the appropriate (non-linear) objective function for this scenario (hint: distances are euclidean)? 
  2. Zoey’s Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 − 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. 
  3. What price should Zoey charge to maximize profit in question b.?
Table 2: Problem 2.4
City
x-coord y-coord Demand
Jones
6
28
45
Luther
13
35
56
Harrah
12
22
30
Edmond
32
25
Norman
33
Мoore
3
8
22
Transcribed Image Text:Table 2: Problem 2.4 City x-coord y-coord Demand Jones 6 28 45 Luther 13 35 56 Harrah 12 22 30 Edmond 32 25 Norman 33 Мoore 3 8 22
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,