Question 110756
(bouquets)(hrs per bouquet) + (wreaths)(hrs per wreath) < 80 (per week)
x*1 + y*2 < 80
{{{x + 2y <= 80}}}
{{{2y <= -x + 80}}}
{{{y <= -(1/2)x + 40}}} answer
(bouquets) + (wreaths) < = 60 items (per week)
{{{x + y <= 60}}}
{{{y <= -x + 60}}} answer
{{{ graph( 500, 500, -10, 90, -10, 80,-(1/2)x + 40,-x + 60) }}}
The vertical axis is number of wreaths and hours per week working
on wreaths
The horizontal axis is number of bouquets and hours per week working on
bouquets
The operating area is under BOTH lines
If I solve
{{{y = -(1/2)x + 40}}}
{{{y = -x + 60}}}
subtract the 2nd from the 1st
{{{(1/2)x -20}}} = 0
{{{x = 40}}}
{{{y = 20}}}
This is the point where the lines meet