A project management consultant estimated that if a particular project wascompleted, t years after completion, N thousand persons would benefit directly fromthe project, whereN(t) =- 4.5t2 + 16t,Osts 10For what value of t,will the largest number of people receive direct benefits? Page 3Question 4(a) Find the following:x+/3 + 9x/5i. Lim-**о бх1/2 — 4х/4ii. LimX-5+(2х — 1)4/2 — 3х — 5(b) The total revenue curve of a firm is R(q) = 40q – 12q? and its400average cost A(q) =g? – 12.85q + 20 +, where q is the firm's output.30i. Derive an expression C(q) for the firm's total cost function.ii. Derive an expression II(q) for the firm's profit function.iii. Is the rate of change of profit increasing or decreasing when theouput level of the firm is 10 units?iv. Determine the level of output for which the firm's profit is maximized.v. What is the firms's maximum profit?

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A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) =- 4.5t2 + 16t, Osts 10 For what value of t,will the largest number of people receive direct benefits?

A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) =- 4.5t2 + 16t, Osts 10 For what value of t,will the largest number of people receive direct benefits?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 82E

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