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: $\mathrm { N } = - 3 \mathrm { p } + 780$
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: 480; supplied: 260
B) sold: 1080; supplied: 260
C) sold: 480 ; supplied: 1040
D) sold: 260; supplied: 480

Question

Quizplus · Accepted Answer

To find the number of televisions sold at $100, substitute $p = 100$ into the demand equation: $N = -3(100) + 780 = 480$. For supply, substitute $p = 100$ into the supply equation: $N = 2.6(100) = 260$. Thus, 480 televisions are sold and 260 are supplied.

Solve the Problem N=−3p+780\mathrm { N } = - 3 \mathrm { p } + 780N=−3p+780

Solve the Problem $\mathrm { N } = - 3 \mathrm { p } + 780$