Suppose customers in a hardware store are willing to buy N(p) boxes of nails at

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) = 70 - 3p^2: 2 lessthanorequalto p lessthanorequalto 5 a. Find the average rate of change of demand for a change in price from $3 to $4. The average rate of change of demand for a change in price from $3 to $4 is boxes per dollar. (Type an integer or a decimal.) b. 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.) c. 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 boxes per dollar. (Type an integer or a decimal.)

Explanation / Answer

A) To find average rate of change

= f (b) -f(a)/(b-a)

= (70-3(4^2)-(70-3 (3^2)/(4-3)

=-48 +27/1

=-21    answer

B) N(p) =70 -3p^2

N' (p) = -6p= -6*3 =-18

C)N(p) =70 -3p^2

N' (p) = -6p= -6*4 =-24

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.