Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following function. N(p)=100-3p2; 35p56 (:3 a. Find the average rate of change of demand for a change in price from $4 to $5. The average rate of change of demand for a change in price from $4 to $5 is - 27 boxes per dollar. (Type an integer or a decimal.) b. Find the instantaneous rate of change of demand when the price is $4. The instantaneous rate of change of demand when the price is $4 is D boxes per dollar. (Type an integer or a decimal.)