According to AAA, on March 27, 2009, national average price per gallon of regular unleaded (87-octane) gasoline was #2.03, and price of premium unleaded was $2.23.
(a) Write the objective function which models cost of blend of mid-grade unleaded gasoline (89-octane).
(b) Find contraints for objective function in part (a).
(c) Draw the graph of region determined by contrains from part (b).
(d) Find blend of regular and premium unleaded gasoline which results in the optimal cost of mid-grade unleaded gasoline.
(e) Find the optimal cost?
(f) Is cost lower than national average of $2.15 per gallon for mid-grade unleaded gasoline?