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Scientists estimate that a certain lake can sustain no more than of a certain kind of fish. They formulated the growth function of the fish population to be where is measured in years. How long will it take for the population to reach ?
A firm produces calculators for a certain shop. Their fixed cost is and each calculator costs to produce. The calculators are sold for each. Calculate the firm's profit when calculators are produced.
The demand function for a monopolist is: Find expressions for marginal revenue and average revenue, respectively.