Question
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 s 2.
(a) How many gallons of paint are sold when it costs 45 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 0.45? (Round your answer to three decimal places.)
thousand gallons per dollar
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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 s 2. (a) How many gallons of paint are sold when it costs 45 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 0.45? (Round your answer to three decimal places.) thousand gallons per dollar
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