SOLUTION: A school wants to purchase some round tables and some rectangular tables. The costs of one of one round table and one rectangular table are $20 and $25, respectively. The school wa

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Question 966875: A school wants to purchase some round tables and some rectangular tables. The costs of one of one round table and one rectangular table are $20 and $25, respectively. The school wants to spend at most $1000. Represent this problem for the purchase of x round tables and y rectangular tables graphically.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A school wants to purchase some round tables and some rectangular tables.
The costs of one of one round table and one rectangular table are $20 and $25, respectively.
The school wants to spend at most $1000.
Represent this problem for the purchase of x round tables and y rectangular tables graphically.
:
let x = no. of round tables
let y = no. of rect tables
then
20x + 25y =< 1000
put the equation in the slope intercept form
25y =< -20x + 1000
divide by 25
y =< -.8x + 40
plot this equation, let's use x=10, x=30
x | y
------
10 | 32
30 | 16
+graph%28+300%2C+200%2C+-19%2C+60%2C+-10%2C+60%2C+-.8x%2B40%2C+20%29+
Area of feasibility at or below the line
For example, if you get 25 round tables, you can get 20 rect tables, (green line)
25 * $20 = 500
20 * $25 = 500
---------------
total is $1000
:
:
Make sense??