Solve the Problem $\quad N = - 4 p + 780$

question 134

Multiple Choice

Solve the problem.
-As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. The weekly supply and demand models for a certain type of television are as follows:
Demand: $\quad N = - 4 p + 780$
Supply: $\quad N = 2.6 p$
where $\mathrm { p }$ is the price in dollars per television.
Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?

• A) \(\$ 118.18 ; 325\)
• B) \(\$ 298.46 ; 776\)
• C) \(\$ 118.18 ; 307\)
• D) \(\$ 557.14 ; 1449\)

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Definitions:

Anoxia

A condition characterized by an absence of oxygen supply to an organ's tissue, leading to hypoxia and potentially severe damage.

Hypoxia

A condition characterized by less oxygen than is required.

Toxemia

A condition in pregnancy, also known as preeclampsia, characterized by high blood pressure and signs of damage to another organ system, most often the liver and kidneys.

Gestational Age

the age of an embryo or fetus (or newborn) calculated from the first day of the last menstrual period of the pregnant woman, typically used to assess the developmental stage and schedule appropriate medical care.