OPTIMAL COST According to AAA (AutomobileAssociation of America), on March 27, 2009
Chapter 6, Problem 42(choose chapter or problem)
OPTIMAL COST According to AAA (AutomobileAssociation of America), on March 27, 2009, thenational average price per gallon of regular unleaded(87-octane) gasoline was $2.03, and the price ofpremium unleaded (93-octane) gasoline was $2.23.(a) Write an objective function that models the cost of theblend of mid-grade unleaded gasoline (89-octane).(b) Determine the constraints for the objective functionin part (a).(c) Sketch a graph of the region determined by theconstraints from part (b).(d) Determine the blend of regular and premiumunleaded gasoline that results in an optimal cost ofmid-grade unleaded gasoline.(e) What is the optimal cost?(f ) Is the cost lower than the national average of $2.15per gallon for mid-grade unleaded gasoline?
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