The marginal revenue function on sales of q units of a product is R' (q) = 190 - 15?sqrt(q) dollars per unit. (a) Estimate the total revenue if sales are 100 units. Total revenue = $ (b) What is the marginal revenue at 100 units? Marginal revenue = $ per unit Use this value and your answer to part (a) to estimate the total revenue if sales are 101 units. Total revenue = $
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Given marginal revenue function: \( R = 190 - 15\sqrt{q} \) Total revenue, \( R \), for 100 units is given by: \[ R = \int_{0}^{100} (190 - 15\sqrt{q}) dq \] \[ R = \left[ 190q - \frac{15}{2}q^{\frac{3}{2}} \right]_{0}^{100} \] \[ R = 190(100) - Show more…
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