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: $\mathrm { N } = - 4 p + 690$
Supply: $N = 2.6 \mathrm { p }$
where $p$ is the price in dollars per television.
How many of these televisions can be sold and supplied at $\$ 120$ per television?
A) sold: 210 ; supplied: 312
B) sold: 1170 ; supplied: 312
C) sold: 210 ; supplied: 1002
D) sold: 312 ; supplied: 210

Question

Quizplus · Accepted Answer

To find the number of televisions that can be sold and supplied at $120 per television, substitute $p = 120$ into both equations. For the demand: $N = -4(120) + 690 = 210$. For the supply: $N = 2.6(120) = 312$. Therefore, 210 televisions can be sold and 312 can be supplied at this price.

Solve Problems Using Systems of Linear Equations -As the Price N=−4p+690\mathrm { N } = - 4 p + 690N=−4p+690

Solve Problems Using Systems of Linear Equations
-As the Price $\mathrm { N } = - 4 p + 690$