Question 619293
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
{{{ graph( 300, 200, -5, 15, -5, 15, -x+8, -2x+10) )}}}
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