Two points on a linear demand function are ($24, 60,000) and ($32, 44,400). a) Determine the demand function q = f (p). b) Determine what price would result in demand of 80,000 units. c) Define the restricted domain and range for the function. Rubrics Uses information appropriately: Applies appropriate procedures:  Answers the problem:

Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.

*4* When the price of product "X" is (P1=) $42, Shyanne purchases 20 units of product "X" and when the price of product "X" is (P2=) $38, she purchases 30 units of product "X". Shyanne's "arc" price elasticity of demand for product "X" is (Ex,x =): O" -0.25 " and the demand for "X" is relatively elastic. -4.00 " and the demand for "X" is relatively inelastic. O"-0.25 " and the demand for "X" is relatively inelastic. O " -4.00 " and the demand for "X" is relatively elastic. -0.25 " and "X" is a "normal" good. Save & Continue Continue without saving

2. [Own Price Elasticity of Demand] Given a demand function Q=f(P), the own price elasticity of demand is defined as P - (de). (2). ε = What is the own price elasticity of demand e (a) for the linear demand function Q = 200-3.5P when P = 10. (b) for the linear inverse demand function P= 100-3.5Q when Q = 10. (c) for the inverse demand function P=Q-35, when (i) Q = 5; (ii) Q = 10.

3) Consider the following demand equation: Demand: QD = 80 – 5 P a) Suppose there is a price increase from S6 to $8. Calculate the clasticity of demand along the portion of the demand curve between $6 and S8. b) Suppose there is a price increase from $8 to $9. Calculate the elasticity of demand along the portion of the demand curve between $8 and $9. With respect to this linear demand equation, is the elasticity of demand constant?

Given the demand function QD = 18 − 3P, answer the following ques-tions.(a) Calculate the price elasticity of demand if the price increases fromP1 = 2 to P2 = 5 using the midpoint method.(b) Calculate the point price elasticity of demand at QD = 13.5.(c) At which price/quantity is demand unit elastic?(d) At which price/quantity is demand perfectly elastic and perfectlyinelastic, respectively?