Suppose a company's revenue function is given by R(q) = - q° + 280q? and its cost function isgiven by C(q) = 410 + 16q, where q is hundreds of units sold/produced, while R(q) and C(q) arein total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable inyour answer.)MP(q)B) How many items (in hundreds) need to be sold to maximize profits?Answer:hundred units must be sold. (Round to two decimal places.)

Difference of revenue and cost function is profit

uppose a company's revenue function is given by R(q) = - q° + 280q² and its cost function is iven by C(q) = 410 + 16q, where q is hundreds of units sold/produced, while R(q) and C(q) are total dollars of revenue and cost, respectively. Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in bur answer.) MP(q) = How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)

uppose a company's revenue function is given by R(q) = - q° + 280q² and its cost function is iven by C(q) = 410 + 16q, where q is hundreds of units sold/produced, while R(q) and C(q) are total dollars of revenue and cost, respectively. Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in bur answer.) MP(q) = How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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