An important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that produce decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Suppose a chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows $$\begin{array}{ll} \mbox{Demand model: } & N = -6p+2668 \\ \mbox{Supply model: } & N = 3.2p \end{array}$$ where $N$ is the number of televisions sold each week and at price $p$. (Note: Answer with the appropriate units.)

a) How many hand-held color televisions can be supplied at $ 350 per television?
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b) How many televisions will be sold when supply and demand are equal?
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c) Find the price at which supply and demand are equal.
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