Recent content by 413

  1. 4

    Is it Ethical to Fire Unprofitable Customers?

    In what industries would it make sense for government regulation that ensures all customers receieve some basic level of service?
  2. 4

    Is it Ethical to Fire Unprofitable Customers?

    Business invest time to attract customers, but some customers are simply not worth having. So some business think that they should fire the customers they lose money on. -Is it acceptable to fire customers who cost you money on an ethics point of view? -Is it acceptable for the company to...
  3. 4

    What is the Orthogonal Decomposition of x from b in terms of RowA and NulA?

    Let A= [ 1 -2 -1 2] [-1 0 3 -2 ] [ 3 -4 -5 6] (sorry, can't line up the columns) I think I've done a) and b) correctly, I don't really understand c), d) and e) a) Find RowA and Nul A RowA={( 1, -2, -1, 2), (0, 1, -1, 0)} Nul A= {(3, 1, 1, 0), (-2, 0, 0, 1)} b) If...
  4. 4

    Calculating Quantity of Money: Currency, Demand Deposits, and Bank Reserves

    no, it a textbook question and i am studying for exam.
  5. 4

    Calculating Quantity of Money: Currency, Demand Deposits, and Bank Reserves

    The economy contains 2000 $1 bills. a) If people hold all money as currency, what is the quantity of money? -Is quantity of money = $2000? b) If people hold all money as demand deposits and banks maintian 100 % reserves, what is the quantity of money? -Is quantity of money also $2000...
  6. 4

    Proving Theorem: Column Space of Matrix A is a Subspace of R^m

    I think i can show the three properties, but how would i show the column space is a subset of R^m?
  7. 4

    Proving Theorem: Column Space of Matrix A is a Subspace of R^m

    How would I prove this theorem: "The column space of an m x n matrix A is a subspace of R^m" by using this definition: A subspace of a vector space V is a subset H of V that has three properties: a) the zero vector of V is in H. b) H is closed under vector addition. c) H is closed under...
  8. 4

    Proof of det(kA)=k^n det(A) for all n and k

    why is det(kA)=k^ndet(A)? [show that it is true for all n and all k]
  9. 4

    Prove both sufficiency and necessity

    I need some help with this prove Given that A and B are n x n matrices, prove the following : the product AB is invertible if and only if both A and B are invertible. (Prove both sufficiency and necessity)
  10. 4

    M+k=n: Examining Linear Equations Relationships

    um, well A is the co-efficient matrix of the system, and B is the augmented matrix of the system, b is just the answer column of the linear equations.
  11. 4

    M+k=n: Examining Linear Equations Relationships

    Let b be the vector such that B = [A b] , and let a1, a2, a3 and a4 be the columns of A. Let m be the number of linearly independent columns of A, let k be the number of parameters (free variables), and let n be the total number of columns in A. In our example above, n = 4. Do you suppose...
  12. 4

    Person A spends all his income ($100) on good X and composite good Y.

    Person A spends all his income ($100) on good X and composite good Y. Draw person A's budget constraint if good X sells for $5 each and each time he buys 5X, he receives a coupon redeemable for one unit of good Y. How would you draw this graph?
  13. 4

    Given an average cost function, calculate output level

    ok, so the only solution is 8.66 for b) the equation i got is 0=30-3q+0.375q^2 which i have trouble finding zero for.
  14. 4

    Given an average cost function, calculate output level

    i used graphing calculator and found that one zero is 8.66, how can i use this and find other roots?
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