Algebra 2 Linear Programming
posted by LaH .
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.

Sorry, I forgot to add the objective function.
C=80x+20y 
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
Similar Questions

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. … 
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 … 
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 
Linear programming
Which of the following mathematical relationships could be found in a linear programming model? 
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? 
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 x2x2x >(or equal to) 1 x,,x,x>(and equal to) 0 
Business Math
Using the simplex method, solve the following linear programming problem: Maximize: P= 5x+2y Subject to: 4x+3y < or equal to 30 2x3y < or equal to 6 x > or equal to 0, y > or equal to 0. 
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 … 
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 … 
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?