I would like to create a rectangular vegetable patch. The fencing for the east and west...
I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $192 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose? HINT
| north and south sides | ft |
| east and west sides | ft |
Homework Answers
4x + 4x + 2y + 2y = 192
8x + 4y = 192
4y = 192 - 8x
y = 48 - 2x
Area = xy = x(48 - 2x) = 48x - 2x^2
Maximum of y = ax^2 + bx + c is when x = -b / 2a
so x = -48 / -4 = 12
y=48-24 =24
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