Solve the Problem $\mathrm { N } = - 6 \mathrm { p } + 780$

question 42

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: $\mathrm { N } = - 6 \mathrm { p } + 780$
Supply: $\quad N = 2.6 p$
where $p$ is the price in dollars per television.
How many of these televisions can be sold and supplied at $\$ 100$ per television?

• A) sold: 1380; supplied: 260
• B) sold: 260; supplied: 180
• C) sold: 180 ; supplied: 260
• D) sold: 180; supplied: 1040

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