SOLUTION: Help me Please! "Graph the system of restrictions and then fine the maximum value using P=100x + 40" A. x+y is equal to or less than 8 B. 2x+y is equal to or less than 10 C.

Question 619293: Help me Please!
"Graph the system of restrictions and then fine the maximum value using P=100x + 40"
A. x+y is equal to or less than 8
B. 2x+y is equal to or less than 10
C. x is equal to or more than 0
D. y is equal to or more than 0
The ordered pair_________gives a maximum value of _____________.
(I have the ordered pair 2,8 with maximum value of 8)
Thanks for helping
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Graph the system of restrictions and then fine the maximum value using P=100x + 40"
Convert A and B to slope/intercept form for graphing
:
A. x+y is equal to or less than 8
y =< -x + 8
;
B. 2x+y is equal to or less than 10
y =< -2x + 10
;
Graph these two equations

the area of feasibility are the positive values at or below both lines
Three x,y corner points of the area are: 0,8; 2,6; 5,0
:
C and D just mean we are only interested in positive values for x, and y
C. x is equal to or more than 0
D. y is equal to or more than 0
:
The ordered pair: 5, 0 gives a maximum value: replace x with 5:
p = 100(5) + 40
p = 540
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