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Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by x(t) = −4t2 + 20t + 44,where t is the number of hours since 10 AM, 0 ≤ t ≤ 4. (a) Find an expression for the revenue per hour R as a function of x. (b) Find and simplify (R º x)(t). (c) What is the revenue per hour at noon?
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