Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 5.4, Problem 27E
To determine
The payoff matrix of the game where you invaded one country among three countries and simultaneously your friend defending one of them if the country invaded by you is defending by your opponent, you lose 1 point and the payoff is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Refer to the payoff matrix below:
B1
B2
A1
2
-1
A2
-2
3
Determine the optimal strategy for both players and the value of the game.
Investing: Inverse ETFS (Exchange Traded Funds) Inverse ETFS, sometimes referred to as "bear market" or "short"
funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be used by
traders to bet against the stock market. The following table shows the performance of three such funds as of August 5,
2015.t
Year-to-Date
Loss (%)
MYY (ProShares Short Midcap 400)
6
SH (ProShares Short S&P 500)
5
REW (ProShares UltraShort Technology)
7
You invested a total of $6,000 in the three funds at the beginning of 2011, including an equal amount in MYY and SH. Your
total year-to-date loss amounted to $360. How much did you invest in each of the three funds?
MYY
$
SH
REW
$
%24
%24
%24
Q1
Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 5.1 - In Exercises 110, find the dimensions of the given...Ch. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - In Exercises 110, find the dimensions of the given...Ch. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
Ch. 5.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - In Exercises 1320, evaluate the given expression....Ch. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - In Exercises 2128, evaluate the given expression....Ch. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - In Exercises 2128, evaluate the given expression....Ch. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - In Exercises 2936, use technology to evaluate the...Ch. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Sales The following table shows the number of Mac...Ch. 5.1 - Home Prices The following table shows median home...Ch. 5.1 - Inventory The Left Coast Bookstore chain has two...Ch. 5.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 5.1 - Prob. 41ECh. 5.1 - Revenue The following spreadsheet gives annual...Ch. 5.1 - Prob. 43ECh. 5.1 - Population Movement In 1990 the U.S. population,...Ch. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Inventory Microbucks Computer Company, besides...Ch. 5.1 - Tourism in the 1990s The following table gives the...Ch. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Prob. 64ECh. 5.1 - Prob. 65ECh. 5.1 - Prob. 66ECh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Exercises 3138 should be done in two ways: by hand...Ch. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Exercises 3138 should be done in two ways: by hand...Ch. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - In Exercises 4548, translate the given matrix...Ch. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Revenue Karen Sandberg, your competitor in...Ch. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Revenue Recall the Left Coast Bookstore chain from...Ch. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Income Exercises 5962 are based on the following...Ch. 5.2 - Income Exercises 5962 are based on the following...Ch. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Prob. 64ECh. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.2 - Tourism in the 1990s The following table gives the...Ch. 5.2 - Tourism in the 1990s Referring to the tourism...Ch. 5.2 - Prob. 75ECh. 5.2 - Prob. 76ECh. 5.2 - Give an example of two matrices A and B such that...Ch. 5.2 - Prob. 78ECh. 5.2 - Prob. 79ECh. 5.2 - Prob. 80ECh. 5.2 - Prob. 81ECh. 5.2 - Prob. 82ECh. 5.2 - Prob. 83ECh. 5.2 - Prob. 84ECh. 5.2 - Prob. 85ECh. 5.2 - Prob. 86ECh. 5.3 - In Exercises 16, determine whether or not the...Ch. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - In Exercises 726, use row reduction to find the...Ch. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - In Exercises 726, use row reduction to find the...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - In Exercises 2734, compute the determinant of the...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - In Exercises 3542, use technology to find the...Ch. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - In Exercises 4348, use matrix inversion to solve...Ch. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Prob. 52ECh. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Some of the following exercises are similar or...Ch. 5.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 5.3 - Prob. 56ECh. 5.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 5.3 - Prob. 58ECh. 5.3 - Population Movement In 2009 the population of the...Ch. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 5.3 - Encryption Matrices are commonly used to encrypt...Ch. 5.3 - Encryption Matrices are commonly used to encrypt...Ch. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Multiple choice: If A and B are square matrices...Ch. 5.3 - Prob. 68ECh. 5.3 - What can you say about the inverse of a 22 matrix...Ch. 5.3 - Prob. 70ECh. 5.3 - Prob. 71ECh. 5.3 - Derive the formula in Exercise 71 using row...Ch. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Solve the matrix equation A(B+CX)=D for X. (You...Ch. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - In Exercises 914, reduce the given payoff matrix...Ch. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - In Exercises 2532, set up the payoff matrix....Ch. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 5.4 - Factory Location22 A manufacturer of electrical...Ch. 5.4 - Crop Choice23 A farmer has a choice of growing...Ch. 5.4 - Study Techniques Your mathematics test is tomorrow...Ch. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Exercises 37 and 38 seem to suggest that studying...Ch. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 5.5 - Let A be the technology matrix...Ch. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - In Exercises 512, you are given a technology...Ch. 5.5 - Given A=[0.10.40.20.5], find the changes in...Ch. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Campus Food The two campus cafeterias, the Main...Ch. 5.5 - Plagiarism Two student groups at Enormous State...Ch. 5.5 - Prob. 21ECh. 5.5 - Wood and Paper Two sectors of the U.S. economy are...Ch. 5.5 - Prob. 23ECh. 5.5 - Prob. 24ECh. 5.5 - Prob. 25ECh. 5.5 - Prob. 26ECh. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Exercises 3134 require the use of technology....Ch. 5.5 - Exercises 3134 require the use of technology....Ch. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Prob. 36ECh. 5.5 - What would it mean if the total output figure for...Ch. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - Prob. 41ECh. 5.5 - Prob. 42ECh. 5 - For Exercises 110, let...Ch. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - For Exercises 110, let...Ch. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - In Exercises 1720, write the given system of...Ch. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - In Exercises 2528, find the production vector X...Ch. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - It is now July 1, and online sales of romance,...Ch. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - OHaganBooks.com has two main...Ch. 5 - Prob. 40RECh. 5 - OHaganBooks.com has two main...Ch. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Some of the books sold by OHaganBooks.com are...Ch. 5 - Some of the books sold by OHaganBooks.com are...Ch. 5 - Some of the books sold by OHaganBooks.com are...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Investing: Lesser-Known Stocks The following question is based on the following information about the stocks of Whitestone REIT, HCC Insurance Holdings, Inc., and SanDisk Corporation.† Price($) Dividend Yield(%) WSR(WSR Whitestone REIT) 16 7 HCC(HCC Insurance Holdings, Inc.) 56 2 SNDK(SanDisk Corporation) 80 2 You invested a total of $8,400 in shares of the three stocks at the given prices, and expected to earn $248 in annual dividends. If you purchased a total of 200 shares, how many shares of each stock did you purchase?arrow_forwardInvesting: Lesser-Known Stocks The following question is based on the following information about the stocks of Whitestone REIT, HCC Insurance Holdings, Inc., and SanDisk Corporation.† Price($) Dividend Yield(%) WSR(WSR Whitestone REIT) 16 7 HCC(HCC Insurance Holdings, Inc.) 56 2 SNDK(SanDisk Corporation) 80 2 You invested a total of $14,400 in shares of the three stocks at the given prices, and expected to earn $328 in annual dividends. If you purchased a total of 250 shares, how many shares of each stock did you purchase? having trouble solving i have set up as x+y+z=250 16x+56y+80z=14,400 .7(16x)+.2(56y)+.2(80z)=248arrow_forwardCould you please do all parts and provide written solutions , with explanationsarrow_forward
- Duffin House, Higgins Press, and Sickle Publications all went public on the same day recently. John O’Hagan had the opportunity to participate in all three initial public offerings. He made a considerable profit when he sold all of the stock 2 days later on the open market. The following table shows the purchase price and percentage yield on the investment in each company: Purchase Price (per share) Yield (%) Duffin House (DHS) 8 20 Higgins Press (HPR) 10 15 Sickle Publications (SPUB) 15 15 He invested $20,000 in a total of 2,000 shares and made a $3,400 profit from the transactions.arrow_forwardWhile walking around you see a carnival game! The game has a 1% chance of you winning $150, a 3% chance of you winning $20, a 6% chance of you winning $6, and an 90% chance of you winning nothing. If the game costs $3 to play, how much should you expect to win (or lose) if you play this game once? For the same situation, how much should you expect to win (or lose) if you play the game 300 times?arrow_forwardSubject:arrow_forward
- Duffin House, Higgins Press, and Sickle Publications all went public on the same day recently. John O'Hagan had the opportunity to participate in all three initial public offerings (partly because he and Marjory Duffin are good friends). He made a considerable profit when he sold all of the stock 2 days later on the open market. The following table shows the purchase price and percentage yield on the investment in each company. Purchase Priceper Share ($) Yield (%) Duffin House (DHS) 8 20 Higgins Press (HPR) 10 15 Sickle Publications (SPUB) 15 15 He invested $25,000 in a total of 2,600 shares and made a $4,350 profit from the transactions. How many shares in each company did he purchase? Duffin House shares Higgins Press shares Sickle Publications shares I have x+y+z=2600 8x+10y+15z=25,000 160x+150y+225z=435,000 i keep getting y=506, i know im doing something wrong :(arrow_forwardInvesting: Inverse ETFs (Exchange Traded Funds) Inverse ETFs, sometimes referred to as "bear market" or "short" funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be used by traders to bet against the stock market. The following table shows the performance of three such funds as of August 5, 2015.† Year-to-Date Loss (%) MYY (ProShares Short Midcap 400) 6 SH (ProShares Short S&P 500) 5 REW (ProShares UltraShort Technology) 7 You invested a total of $13,000 in the three funds at the beginning of 2011, including an equal amount in SH and REW. Your year-to-date loss from the first two funds amounted to $570. How much did you invest in each of the three funds? MYY$ SH$ REW$arrow_forwardPlease don't provide handwritten solution ....arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY