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Evaluating Polynomials

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1. The promoters of a county fair estimate that t hours after the gates open at 9:00 AM visitors will be entering the fair at the rate of -4(t+2)^3+54(t+2)^2 people per hour. How many people will enter the fair between 10:00 AM and noon?

2. A manufacturer estimates marginal revenue to be R(q) = 100q^-1/2 dollars per unit when the level of production is q units. The corresponding marginal cost has been found to be 0.4q dollars per unit. Suppose the manufacturer's profit is $520 when the level of production is 16 units. What is the manufacturer's profit when the level of production is 25 units?

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Polynomials are evaluated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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