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kuon
02.12.2019 •
Mathematics
Afarmer wants to fence a rectangular garden next to his house which forms the northern boundary. the fencingfor the southern boundary costs $6 per foot, and the fencing for the east and west sides costs $3 per foot. if hehas a budget of $120 for the project, what are the dimensions of the largest area the fence can enclose?
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Ответ:
10 ft x 10 ft
Area = 100 ft^2
Step-by-step explanation:
Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.
The total area is given by:
The cost function is given by:
Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:
If S=10 then W =20 -10 = 10
Therefore, the largest area enclosed by the fence is:
Ответ:
52 lb= 0.45 * 52
52 lb= 23.4 kg