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 ass(x) 597.3(0.9214x 12) thousand gallonswhen 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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Asked Oct 30, 2019
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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 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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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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From the given information, the paint sales model is S(x) = 597.3 (0.9214x + 12). W...

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(a) Obtain the number of gallons of paint are sold when 45 cents as follows Given that, x 45 cents or 0.45 dollars. Substitute 45 for x in S(x) S(0.45) 597.3(0.9210412 =191.85601 (Round to three decimal places) =191.856 Thus, the number of gallons ofpaint are sold when 45 cents is 191.856 thousand gallons

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