Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. centerville is the headquarters of greedy cablevis

Centerville is the headquarters of Greedy Cablevision Inc The cable company is about to expand...

60.1K

Verified Solution

Question

Calculus

image

Centerville is the headquarters of Greedy Cablevision Inc The cable company is about to expand service to two nearby towns Springfield and Shelbyville There needs to be cable connecting Centerville to both towns The idea is to save on the cost of cable by arranging the cable in a Y shaped configuation Centerville is located at 10 0 in the xy plane Springfield is at 0 3 and Shelbyville is at 0 3 The cable runs from Centerville to some point x 0 on the x axis where it splits into two branches going to Springfield and Shelbyville Find the location x 0 that will minimize the amount of cable between the 3 towns and compute the amount of cable needed Justify your answer To solve this problem we need to minimize the following function of x f x We find that f x has a critical number at x To verify that f x has a minimum at this critical number we compute the second derivative f x and find that its value at the critical number is a positive number Thus the minimum length of cable needed is

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Advance Math
1.2K views

3,1. Suppose that the price of an asset at close of trading yesterday was $350 and...

Psychology
1.2K views

Define the three types conditioned motivating operations (CMOs). and Provide two examples of each type of CMO as...

Accounting
1.2K views

2016 Actual Results 2017 initial forecast earnings per share $50 $67 gross profit $3,000 $3,900 cost of goods sold (12,000) (15,600) interest (300) (300) common dividends (535) (535) fixed operating costs...

Accounting
1.2K views

Class: ACCT-301 --> WEEK 7: TRANSFER PRICING AND CAREER RESEARCH TASK How is transfer pricing used to...

Physics
1.2K views

A tuning fork vibrates at a frequency of 264 Hz, and the tip of each...

Geometry
1.2K views

A solid metal prism has a rectangular base with sides of 4 inches and 6...

Basic Math
1.2K views

23 P 111 LLL Find all possible Laurent expansions centered at 0 of the following...

Basic Math
1.2K views

A new cream that advertises that it can reduce wrinkles and improve skin was subject...

Accounting
1.2K views

Suzanne Ltd. and Marianne Corp. had the following...

Accounting
1.2K views

The following transactions of Berain Manufacturers, that uses the perpetual inventory system, took place during...

Finance
1.2K views

A is company Andrews B is company Baldwin C is company Chester D is company...

Accounting
1.2K views

Macro Company has the following adjusted accounts and balances at June 30 : Required: Prepare...