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    cost and profit of the business commodity

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    Let R(q) = 1/100 x^2 be a revenue function and C(q) = sqrt(x) be a cost function for a particular business commodity.

    a) Demonstrate that C(q) = R(q) at approximately q =21.544.
    b) Determine the marginal cost and marginal revenue functions.
    c) Suppose the supply and demand for this commodity equalize at q=25. Determine the profit from this quantity of production.
    d) Is the business justified in producing a 26th item based on the analysis of marginal cost and revenue? Explain.

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    It calculates the cost and profit of the business commodity. The response is detailed and received a '5/5' rating from the student who originally posted the question.