Algebra 2 -Linear Programming

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.

  1. 👍 0
  2. 👎 0
  3. 👁 610
  1. Sorry, I forgot to add the objective function.

    C=80x+20y

    1. 👍 0
    2. 👎 0
  2. 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

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Find all values of t such that [t] =2t+3. If you find more than one value, then list the values you find in increasing order, separated by commas. The brackets represent the floor sign function.

    asked by Jake on December 13, 2014
  2. algebra 2

    Graph the system of constraints and find the value of x and y that maximize the objective function. Constraints {x >= 0 y >= 0 y

    asked by Kandy on October 7, 2014
  3. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a

    asked by Desperately seeking help on December 10, 2016
  4. Math

    Your computer-supply store sells two types of inkjet printers. The first, type A, costs $237 and you make a $22 profit on each one. The second, type B, costs $122 and you make a $19 profit on each one. You can order no more than

    asked by Greg Martin on September 17, 2012
  5. Algebra (Please check)

    PLEASE CHECK MY ANSWERS (: I just want to make sure I am doing this correctly __________________________________ Graph the system of constraints and find the value of x and y that maximize the objective function. Constraints: x

    asked by Greg on September 17, 2012
  1. math

    A farmer is going to divide her 50 acre farm between two crops. Seed for crop A costs $50 per acre. Seed for crop B costs $25 per acre. The farmer can spend at most $2,250 on seed. If crop B brings in a profit of $90 per acre, and

    asked by justine on October 21, 2019
  2. maximizing profit

    A manufacture has been selling 1750 television sets a week at $540 each. A market survey indicates that for each $14 rebate offered to a buyer, the number of sets sold will increase by 140 per week. a) Find the function

    asked by Miranda on March 14, 2009
  3. Algebra

    Complete the table for each function. 1. f(x) = √x The x values are 0, 1,4 and 9. The corresponding y values that I got are 0, 1, 2 and 3. 2. g(x) = -1/4√ x The x values are 0, 1, 4, and 9. The corresponding y values that I

    asked by Student on March 11, 2014
  4. Algebra 2

    given the system of constraints, name all vertices of the feasible region. then find the maximum value of the given objective function. Constraints: x ≥ 0 y ≥ 0 y ≤ 1/3x + 3 5 ≥ y + x Objective function: C = 6x - 4y

    asked by pie on October 23, 2019
  5. Algebra 2

    What point in the feasible region maximizes the objective function ? (3 points) Constraints {x>0 {y>0 {-x+3>y {y

    asked by Alexia tucker on November 6, 2017

You can view more similar questions or ask a new question.