a bolt is p cents, then x thosand bolts must be sold in a certain hardware store, where p=9-x/22. How many bolts must be sold to maximize revenue? Solution The price of a bolt in terms of thousands of bolts sold x is p = 9 - x/22. The revenue earned when 1000 bolts are sold is R = x*(9 - x/22) R = x*(9 - x/22) => R = x*9 - x^2/22 The expression R has to be maximized by changing x. Solve [(dR)/(dx) = 0] => 9 - 2x/22 = 0 => x/11 = 9 => x = 99 TO maximize revenue 99000 bolts should be sold..