Finding rate of change
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Finding rate of change
Last updated at Aug. 19, 2021 by Teachoo
Ex 6.1, 18 The total revenue in Rupees received from the sale of π₯ units of a product is given by R(π₯) = 3π₯2 + 36π₯ + 5. The marginal revenue, when π₯ = 15 is (A) 116 (B) 96 (C) 90 (D) 126Marginal revenue is rate of change of total revenue w. r. t the number of unit sold Let MR be marginal revenue So, MR = π πΉ/π π Given, Total revenue = R (π₯) = 3π₯2 + 36π₯ + 5 We need to find marginal revenue when π₯ = 15 i.e. MR when π₯ = 15 MR = π(π (π₯))/ππ₯ MR = (π (3π₯2 + 36π₯ + 5) )/ππ₯ MR = (π(3π₯2))/ππ₯ + (π(36π₯))/ππ₯ + (π(5))/ππ₯ MR = 3 (π(π₯2))/ππ₯ + 36 (π(π₯))/ππ₯ + 0 MR = 3 Γ 2π₯ + 36 MR = 6π + 36 MR when π = 15 MR = 6(15) + 36 MR = 90 + 36 MR = 126 Hence, the required marginal revenue is Rs. 126 Thus, D is the correct Answer