How do you find the length of arc and area of sector
1 answer:
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Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.
Given:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation
To find:
The maximum amount of profit the company can make, to the nearest dollar.
Solution:
If a quadratic equation is , then the vertex is
If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.
We have,
Here, . Clearly, a<0. So, the vertex is the point of maxima.
Putting x=23.931 in the given equation, we get
The vertex is at (23.931,6568.138).
Therefore, the maximum profit is $6568.138 when x=23.931.