Answer:
8.
Step-by-step explanation:
x cannot be 8 because that would make the denominator zero.
9(x - 2) = 18
x - 2 = 18/9 = 2
x = 2 + 2 = 4
x = 4
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.
Taking the derivative of the given equation and equating it to zero, we have:
y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03
Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,
y = (0.000015)(1000)² - (0.03)(1000) + 35
The minimized cost, y, to produce 1000 chips is then calculated to be $20.
First let do the whole area 100*75 = 7500 m²
Now let's calculate the area of the Arena Diameter (A=πr²)of 50 m .
A = 3.14*25 (half the diameter of 50) = 78.5 m² and now only half if overlapping, thus divide by 2 = 39.25 m²
Now we should be able to deduct 7500 m² - 39.25 m² = 7460.75 m²