Triangle RST was dilated with the origin as the center of dilation to create triangle
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Answer:
10,000 pPhones.
Step-by-step explanation:
The cost to manufacture <em>x</em> pPhones is given by the cost function:
And the revenue for selling <em>x</em> pPhones is given by the revenue function:
We want to determine the number of pPhones the Pear Company should sell to maximize profits.
First, we can find the profit function. Profit is given by:
Therefore:
Simplify:
Add. So, our profit function is:
Note that our profit function is a quadratic. The maximum point of a quadratic is always its vertex. So, we can find the vertex of the profit function.
The coordinate of the vertex is given by:
In this case, a = -4, b = 80000, and c = - 21390.
Therefore, the point at which profit is maximized is:
Therefore, in order to maximize profits, the Pear Company should sell exactly 10,000 phones.
Notes:
And the maximum profit will be: