Question

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 - 3p? 15ps4 ho a. Find the average rate of change of demand for a change in price from $2 to $3. The average rate of change of demand for a change in price from $2 to $3 is boxes per dollar (Type an integer or a decimal.) b. Find the instantaneous rate of change of demand when the price is $2. The instantaneous rate of change of demand when the price is $2 is boxes per dollar (Type an integer or a decimal.) c. Find the instantaneous rate of change of demand when the price is $3. The instantaneous rate of change of demand when the price is $3 is boxes per dollar. (Type an integer or a decimal.)

Answer 1

Ilven NIP) = luo - 382 2 15P24 q a average rate of change of demand for change in price from $2 to $3 is given by N 13) - N134 3-2 100-3(3)-600-31e)?) 15 Av 'n sign show that demand decrease at the rate of 15 box per dollar for a change in price from $2 to $3. instantaneous rate of charge of demand when price is $2 is lim H(eth) - N(2) b) 4 hyo h lin nyo pono - 312th)?-100 + 362_)? h 3(4+h? ++h) +12 lim hoo n lim -n24h ho lim (-h-4) -0-4 hao - 4 Ang

c) instantaneory rate of change of demand when price is $3 lim N 3+h) h lim 100-3(3+)2 100+ 31332 hoso N13) hoo s lim r3(gt h²+6h) + 27 hao n lim -34²-18h hoo. 11 h lim ho -3h-18 -310-18 -18 Any