Asked by Teresa
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.
Answers
Answered by
Damon
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
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
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