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Solved: find the singular values of the given matrix

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole ISBN: 9780538735452 298

Solution for problem 7.4.7 Chapter 7

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Problem 7.4.7

find the singular values of the given matrix.

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Exam4Lecture1 1 Types of Market Structures 1. Perfect Competition: many firms, perfect substitutes 2. Monopolistic competition: many firms, close substitutes, Ex: McDonalds and BK. 3. Oligopoly: few firms, most realistic, most complicated 4. Monopoly: one firm, no competitor 2 Perfect Competition Characteristics Implications 1. Many small buyers and sellers No individual can effect Pe or Qe 2. Standardized products (perfect subs) Firm elastic demand = infinity; no advertising. 3. Perfect information Firms are price takers (set q only) 4. No barriers to entry Long Run profit = 0. 2.1 Profit Maximization (for every market structure)  Profit = Total Revenue (TR) – Total Cost (TC)  When a firm produces and sells an additional unit of a good, TR and TC both increase. This has a variable effect on profit.  If change in TR is greater than/equal to change in TC, the unit will be produced.  Change in TC = Marginal Cost (MC)  Change in TR = Marginal Revenue (MR)  Marginal revenue: the additional revenue earned from selling 1 additional unit. 2.1.1 Marginal Revenue  Firms in a perfectly competitive market are price takers, the price along the demand curve never changes.  MR = price at every additional unit.  D= MR  Profit maximizing level of output o If MR > MC, the firm will increase q. o IF MR < MC, the firm will decrease q. 2.1.2 THE KEY TO EVERYTHING EVER  Profit Maximization Rule: Firms find the profit-maximization level of output where MR = MC. 2.2 Solving for q* and profit. Example:  P= $30; MC = 2+ 4q.  Find q* Solution:  MR = P = MC  $30= 2 + 4q  q*=7 units Find profit if ATC is $25.  Profit = TR –TC  TR = ( P * Q)  TC = (ATC * q)  Profit = (P*q)-(ATC*q)=q(P-ATC)=7(30-25)=35. Exam4Lecture2 2.3 Identifying SR profit  Everything that matters happens at q*/  Profit is positive if Price isgreater than ATC 2.4 Breaking Even (P = ATC) 2.5 Negative Profit Should we shutdown 2.6 Shutdown Rule TFC will remain even if you shut down.  If P >/= AVC, then the firm should produce q* where MC=MR.  If P < AVC, then the firm should shutdown, q* = 0. 2.7 Long Run competitive equilibrium Necessary conditions 1. The market clears ( Qs =Qd) 2. Profit =0; P=ATC (otherwise people can leave/enter the market) Reasons for entry/exit 1. Change in Demand 2. Change in costs 2.7.1 KNOW ALL OF THESE FOLLOWING GRAPHS FOR SURE!!! Decrease in Demand 1. Demand decreases 2. P and q decrease 3. D=MR decreases 4. Q* decreases, profit is less than zero. 5. Exit of other firms (supply decreases) 6. Q falls and P returns to original 7. P=MR returns to original 8. Q* returns to original; profit =0. Increase in Demand  Demand increases  P and Q increase  D = MR increases  Q* increases; profit is greater than 0. This attracts firms from other markets.  Entry of firms ( S increases)  Q rises, and P returns to original  d=Mr returns to original  q* returns to original; profit = 0. Increase in costs 1. MC and ATC increase 2. Q* decreases; profit is less than zero 3. Firms exit (S decreases) 4. Q falls and P rises 5. D=MR increases 6. Q* increase; profit equals zero again. Decrease in costs  MC and ATC decrease  Q* increases, profit is positive  Entry of other markets (S increase)  Q rises, P falls  D=MR decreases  Q* decreases, profit = 0. 2.8 How does this effect social welfare *this is the only market structure where P = Min ATC. Productive efficiency: 1. P= min ATC 2. Opportunity cost of resources is minimized 3. Output of all other goods is maximized *At q*, P = MC, only market structure where this happens. Allocative efficiency: 1. P = MC 2. Everyone that is willing to pay at least the MC will get the good. This market does the best job at getting the most goods in to the most hands.

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Chapter 7, Problem 7.4.7 is Solved
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Textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign)
Edition: 3
Author: David Poole
ISBN: 9780538735452

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780538735452. This textbook survival guide was created for the textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign), edition: 3. The answer to “find the singular values of the given matrix.” is broken down into a number of easy to follow steps, and 8 words. Since the solution to 7.4.7 from 7 chapter was answered, more than 226 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 7 chapters, and 1985 solutions. The full step-by-step solution to problem: 7.4.7 from chapter: 7 was answered by , our top Math solution expert on 01/29/18, 04:03PM.

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Solved: find the singular values of the given matrix