Solve Problems Using Systems of Linear Equations
-As the Price $\mathrm { N } = - 3 \mathrm { p } + 780$

Multiple Choice

Solve Problems Using Systems of Linear Equations
-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: $\mathrm { N } = - 3 \mathrm { p } + 780$
Supply: $\quad N = 2.5 p$
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) $\$ 141.82 ; 355$
B) $\$ 1560.00 ; 3900$
C) $\$ 310.80 ; 777$
D) $\$ 141.82 ; 362$