Solve the Problem $x$ Televisions Are Manufactured and Sold Is as Follows

question 133

Multiple Choice

Solve the problem.
-A television manufacturing company has two different factories. The profit function for Factory I when $x$ televisions are manufactured and sold is as follows:
$$P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250$$
The profit function for Factory II when $x$ televisions are manufactured and sold is as follows:
$$P ( x ) = - 0.075 x ^ { 2 } + 35 x - 1500$$
For what number of televisions is the profit the same at both factories, and what is the profit?

• A) 233 televisions; \(\$ 2583.33\)
• B) 134 televisions; \(\$ 1843\)
• C) 0 televisions; \(\$ 0\)
• D) 125 televisions; \(\$ 1781.25\)

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Definitions:

Excitement Phase

The initial stage in the sexual response cycle, characterized by increased muscle tension, heart rate, and blood flow to the genitals.

Ventromedial Hypothalamus

A region of the brain involved in satiety and the regulation of metabolism, playing a significant role in eating behavior.

Lateral Hypothalamus

It is the part of the hypothalamus that plays a crucial role in hunger and thirst regulation.

Amygdala

A region of the brain involved in experiencing emotions, particularly fear and pleasure.