Cable TV fee A cable television firm presently serves 8000 households and charges $50 per month. A marketing survey indicates that each decrease of $5 in the monthly charge will result in 1000 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars.
(a) Determine the revenue function R.
(b) Sketch the graph of R and find the value of x that results in maximum monthly revenue.
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