A party planner can spend a maximum of $5000 on food. If the chicken dinner (x) costs $20 and the steak dinner (y) costs $25, make a graph of the region that shows the possibilities for the number of chicken and steak dinners that can be purchased while still staying within budget. Shade the solution set.
20 x + 25 y </= 5,000
x and y can not be negative so our region is in quadrant 1, upper right
for top of region line from where x = 0 and where y = 0 and we hit 5000.
20 x = 5000
x = 250 when y = 0
25 y = 5000
y = 200 when x = 0
so draw line from (0,200) to (250,0)
shade triangle between that line and the x and y axes