to play at a bingo night,there is a $10 cover charge,plus $2 per bingo card .Write a equation for the cost (y) based on the numb
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Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds
Matching each equation of the plecewise function represented in the graph will be:
- 2 < x < 3 = 3 - x
- 0 < x < 2 = 1
- x = 2 = x
- 3 < x < 5 = 5 - x
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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