--%>
Assignment Help - homework help

Problem on Linear equations

Anny, Betti and Karol went to their local produce store to bpought some fruit. Anny bought 1 pound of apples and 2 pounds of bananas and paid $2.11.  Betti bought 2 pounds of apples and 1 pound of grapes and paid $4.06.  Karol bought 1 pound of bananas and 2 pounds of grapes and paid $4.45.

(a) Let x = price of a pound of apples,  and y = price of a pound of bananas and z = price of a pound of grapes.  Write out three linear equations symbolizing the purchases of Anny, Betti and Karol.

(b) Write down the augmented matrix for your system of three linear equations of part (a).

(c) Employ elementary row operations to reduce the row augmented matrix of part (b) to a reduced row-echelon matrix.

(d) Determine the price per pound for each of 3 fruits?

   Related Questions in Mathematics

  • Q : Budgeted cash disbursements The ABC

    The ABC Company, a merchandising firm, has budgeted its action for December according to the following information: • Sales at $560,000, all for cash. • The invoice cost for goods purc

    		•
  • Q : Nonlinear integer programming problem

    Explain Nonlinear integer programming problem with an example ?

    		•
  • Q : How do it? integral e^(-t)*e^(tz) t

    integral e^(-t)*e^(tz) t between 0 and infinity for Re(z)<1

    		•
  • Q : Abstract Boolean Algebra I. Boolean

    I. Boolean Algebra Define an abstract Boolean Algebra, B,  as follows:  The three operations are:  +   ( x + y addition) ( x y multiplic

    		•
  • Q : First-order formulas over the

    Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is apoint and a (sraight) line in the 2-dimensional space, respectively, while On(a,b) encodes  that a is a point, b is a line, and o lies on b.

    		•
  • Q : Who developed a rigorous theory for

    Who developed a rigorous theory for Brownian motion?

    		•
  • Q : Mathematical Method for Engineers The

     The function is clearly undefined at , but despite all of this the function does have a limit as approaches 0. a) Use MATLAB and ezplot to sketch for , and use the zoom on facility to guess the . You need to include you M-file, outp

    		•
  • Q : Problem on sales and budget XYZ Farm

    XYZ Farm Supply data regarding the store's operations follow: • Sales are budgeted at $480,000 for November, $430,000 for December, and $340,000 for January. • Collections are expected

    		•
  • Q : Formulating linear program of an oil

    An oil company blends two input streams of crude oil products alkylate and catalytic cracked to meet demand for weekly contracts for regular (12,000 barrels) mind grade ( 7,500) and premium ( 4,500 barrels) gasoline’s . each week they can purchase up to 15, 000

    		•
  • Q : Explain Black–Scholes model Explain

    Explain Black–Scholes model.

    		•