SOLUTION: Larry can spend at most $2800 to renovate his home. One roll of wallpaper costs $35, and one can of paint costs $40. He needs at least 20 rolls of wallpaper and at least 30 cans of

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Question 1105898: Larry can spend at most $2800 to renovate his home. One roll of wallpaper costs $35, and one can of paint costs $40. He needs at least 20 rolls of wallpaper and at least 30 cans of paint. Identify the graph that shows all possible combinations of wallpaper and paint that he can buy. Also identify two possible combinations
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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The inequalities are

W >= 20               (rolls of wallpaper)
C >= 30               (cans of paint)
35*W + 40*C <= 2800   (dollars)


The plot is shown in the Figure below.
The horizontal axis is W. Vertical axis is C.





Plot 35W + 40C = 2800 (red), W = 20 (green)  and C = 30 (blue)


The solution domain is the triangle in QI, contained between the three straight lines.


The two possible combinations are the highest vertex of the triangle and the rightmost vertex of the triangle.


Can you cipher these points on your own ?