Use a Graphing Calculator to Solve the Nonlinear System $$P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250$$

question 475

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-A television manufacturing company has two different factories. The profit function for Factory I wl 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) 125 televisions; \(\$ 1781.25\)
• D) 0 televisions; \(\$ 0\) when x301)

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Definitions:

Classical Conditioning

A training technique characterized by the recurrent pairing of two cues, leading to an outcome where the first cue alone can elicit a response initially caused by the second cue.

Generalization

The process in psychology of applying learned behavior and responses to similar stimuli that were not part of the original learning.

Secondary Reinforcement

A form of reinforcement where a stimulus gains its reinforcing power through its association with a primary reinforcer.

Delayed Reinforcement

A tactic in which a reward or punishment is given after a time delay, following the behavior it is meant to encourage or discourage.