(x is in thousands of units and p is in hundreds of dollars)
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Of the models shown above, the two models that appear to have the same trend as the given data around x = 37 are the logarithmic and linear models. It appears that the best fitting model is the logarithmic model because at x = 37, the function has a value close to the x values around it and it has a higher r^2 value than the linear model.
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Additionally, f(x) is a continuous function whose domain is all real numbers.
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When 40 scientific calculators and 60 graphing calculators are produced, the company's profit is $740.
At a production level of 40 scientific and 60 graphing calculators, if the company fixed the number of graphing calculators produced at 60, then the company's profit will increase by approximately $29 when the 41st scientific calculator is produced.
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