The relationship between a certain real estate company's quarterly profits, P(x), and the amount of money x spent on advertising per quarter is described by the following function where both P(x) and x are measured in thousands of dollars. P(x) = −(1/8)x^2+8x+30 (0 ≤ x ≤ 50) Find the differential of the function. dP = Use the differential to estimate the increase in profits (in dollars) when advertising expenditure each quarter is increased from $27,000 to $29,000.

The relationship between a certain real estate company's quarterly profits, P(x), and the amount of money x spent on advertising per quarter is described by the following function where both P(x) and x are measured in thousands of dollars. P(x) = −(1/8)x^2+8x+30 (0 ≤ x ≤ 50) Find the differential of the function. dP = Use the differential to estimate the increase in profits (in dollars) when advertising expenditure each quarter is increased from $27,000 to $29,000.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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