Optimal Cost According to AAA (Automobile Association of America), on January 24, 2005
Chapter 7, Problem 44(choose chapter or problem)
Optimal Cost According to AAA (Automobile Association of America), on January 24, 2005, the national average price per gallon for regular unleaded (87-octane) gasoline was $1.84, and the price for premium unleaded (93-octane) gasoline was $2.03. (a) Write an objective function that models the cost of the blend of mid-grade unleaded gasoline (89- octane). (b) Determine the constraints for the objective function in part (a). (c) Sketch a graph of the region determined by the constraints from part (b). (d) Determine the blend of regular and premium unleaded gasoline that results in an optimal cost of mid-grade unleaded gasoline. (e) What is the optimal cost? (f ) Is the cost lower than the national average of $1.96 per gallon for mid-grade unleaded gasoline?
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