Algebra 2 -Linear Programming

posted by .

Find the values of x and y that maximize or minimize the objective function.

x+y < or equal to 8
2x+y < or equal to 10
x> or equal to 0, y > or equal to 0

A. (0,5) Maximum value is 100
B.(1,7) Maximum value is 220
C.(2,6) Maximum value is 280
D. (5,0) Maximum value is 400

I'm so confused. Please help.

  • Algebra 2 -Linear Programming -

    Sorry, I forgot to add the objective function.

    C=80x+20y

  • Algebra 2 -Linear Programming -

    Probably a little late, but this is how you solve it:

    You are given two formulas:
    x + y = 8
    2x + y = 10

    First manipulate them so that you have a common variable alone. I did:
    y = 8 - x
    y = 10 - 2x

    Since y = y you can combine these formulas to create:
    8 - x = 10 - 2x

    Solve this to find x.
    x = 2

    Plug x into one of the original formulas:
    (x) + y = 8
    (2) + y = 8

    Solve for y.
    y = 6

    You now have x and y.
    (2,6)

    Plug x and y into the objective function:
    C = 80(x) + 20(y)
    C = 80(2) + 20(6)

    Solve for C.
    C = 160 + 120
    C = 280

    You have your answer:
    C.(2,6) Maximum value is 280

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Objective functon

    An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. …
  2. Intermediate Algebra

    Find the maximum value of the objective function and the values of x and y for which it occurs. F = 5x + 2y x + 2y (greater than or equal to) 6 2x + y (greater than or equal to) 6 Both x and y are greater than or equal to 0. I don't …
  3. Math

    Objective Function z = 3x - 2y Constraints x > or equal to 1 x < or equal to 5 y > or equal to 2 x - y > or equal to -2
  4. Linear programming

    Which of the following mathematical relationships could be found in a linear programming model?
  5. linear programming

    For the linear program Max 2A + 7B s.t. A + B greater than or equal to 12 2A + 2 B less than or equal too 26 B greater than or equal to 1 A, B greater than or equal to Which of the following would be found in the correct standard form?
  6. Infinite math

    use the M method to solve the following linear programming problem: Minimize C+ -5x+10x+15x Subject to 2x+3x+x <(or equal to) 24 x-2x-2x >(or equal to) 1 x,,x,x>(and equal to) 0
  7. Business Math

    Using the simplex method, solve the following linear programming problem: Maximize: P= 5x+2y Subject to: 4x+3y < or equal to 30 2x-3y < or equal to 6 x > or equal to 0, y > or equal to 0.
  8. Pre Calc

    1. Describe the linear programming situation for this system of inequalities. x<(or equal too)1 y>(or equal too)0 3x + y<(or equal too)5 2. Describe the linear programming situation for this system of inequalities where you …
  9. math

    State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test the following statements. (a) The linear correlation coefficient is positive. Ho: ñ ---Select--- not equal to equal to greater than less …
  10. ALGEBRA 1 HELP

    The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times x. Function B x y -1 2 0 5 1 8 Which statement is correct about the slope and intercept of the two functions?

More Similar Questions