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)

---

Definitions:

Skin Turgor

Skin turgor refers to the skin's elasticity or its ability to change shape and return to normal. It's commonly assessed to evaluate hydration status in individuals.

Urinary Sodium

The concentration of sodium ions in urine, reflecting the body's sodium intake, retention, and excretion.

Osteoporosis

A condition characterized by the weakening of bones, making them fragile and more likely to break.

Complete Protein

A source of protein that contains an adequate proportion of all nine essential amino acids necessary for dietary needs.