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The function P(x) = -2.5x² + 775x - 9500 gives the profit when x units of a certain product are sold. Find a) the profit when 50 units are sold dollars b) the average profit per unit when 50 units are sold dollars per unit c) the rate that profit is changing when exactly 50 units are sold dollars per unit

The function P(x) = -2.5x² + 775x - 9500 gives the profit when x units of a certain product are sold. Find a) the profit when 50 units are sold dollars b) the average profit per unit when 50 units are sold dollars per unit c) the rate that profit is changing when exactly 50 units are sold dollars per unit

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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The function P(x) = −2.5x² + 775x – 9500 gives the profit when x units of a certain product are sold. Find a) the profit when 50 units are sold dollars b) the average profit per unit when 50 units are sold dollars per unit c) the rate that profit is changing when exactly 50 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 50 to 100. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units
Transcribed Image Text:The function P(x) = −2.5x² + 775x – 9500 gives the profit when x units of a certain product are sold. Find a) the profit when 50 units are sold dollars b) the average profit per unit when 50 units are sold dollars per unit c) the rate that profit is changing when exactly 50 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 50 to 100. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units
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