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The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) = 597.3(0.9214x + 12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x < 2.t (a) How many gallons of paint are sold when it costs 25 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.25? (Round your answer to three decimal places.) thousand gallons per dollar

The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) = 597.3(0.9214x + 12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x < 2.t (a) How many gallons of paint are sold when it costs 25 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.25? (Round your answer to three decimal places.) thousand gallons per dollar

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) = 597.3(0.9214x + 12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x < 2.t (a) How many gallons of paint are sold when it costs 25 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.25? (Round your answer to three decimal places.) thousand gallons per dollar
Transcribed Image Text:The sales of Sherwin-Williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) = 597.3(0.9214x + 12) thousand gallons when it costs x dollars to get a gallon of paint to market, data from 0 s x < 2.t (a) How many gallons of paint are sold when it costs 25 cents for a gallon to reach the market? (Round your answer to three decimal places.) thousand gallons (b) How quickly are sales changing when x = 0.25? (Round your answer to three decimal places.) thousand gallons per dollar
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