Question 524618: A gardener has up to 270 square feet available for planting flowers and vegetables. The gardener wants thespace used for vegetables to be at least twice the space used for flowers. In addition, at 35 least square feet is to
be used for flowers. Let x denote the area in square feet used for flowers, and y let denote the area in square feet used for vegetables. Shade the region of the plane that represents all allocations of space satisfying these
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A gardener has up to 270 square feet available for planting flowers and vegetables. The gardener wants the space used for vegetables to be at least twice the space used for flowers. In addition, at 35 least square feet is to
be used for flowers. Let x denote the area in square feet used for flowers, and y let denote the area in square feet used for vegetables. Shade the region of the plane that represents all allocations of space satisfying these
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x >= 35 ; draw a vertical line at x=35; shade the area to the right
y >= 2x ; draw the line y = 2x; shade the area above the line
x + y <= 270 ; Draw a line thru (0,270) and (270,0); shade below.
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Graph all these to see the region.
Note: The intersection of these regions will not
be visible when graped on this site. because
different hatchings or colors are used.
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Cheers,
Stan H.
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