E.g.1: A demand function is given by the equation P = 24 – 6lnQ - Find the equation of TR (total revenue) and determine for which value of Q is TR maximised. Find MR (marginal revenue) as a function of Q Show that MR is a positive decreasing, concave up function.

For the demand function q = D(p) = 442-p, find the following a) The elasticity b) The elasticity at p = 110, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) ... a) Find the equation for elasticity. E(p) = b) Find the elasticity at the given price, stating whether the demand is elastic, inelastic or has unit elasticity E(110) (Simplify your answer. Type an integer or a fraction) Is the demand elastic, inelastic, or does it have unit elasticity? = inelastic elastic unit elasticity c) Find the value(s) of p for which total revenue is a maximum (assume that p is in dollars) (Round to the nearest cent. Use a comma to separate answers as needed.)

5. Consider the demand function given by 3q + 4p = 10, where p denotes the unit price for a certain product and q the amount sold. a. Find the function that gives the revenue r in terms of the quantity q. b. What is the average rate of change of revenue with respect to quantity when q = 0.75 and Aq=0.1? c. Suppose that the calculation in b. is made with Aq equal to 0.01, 0.001, 0.0001, ... What is the limit value of this calculation called? (Give the mathematical name as well as the economic name.) d. What is the notation used for this limit value? e. Calculate the limit value. f. Find the point elasticity of demand for p = 1 and determine whether demand is (perfectly) inelastic, is (perfectly) elastic or has unit elasticity. g. Use your answer to question f. to approximate the change in demand when the price of 1 is increased by 0.25%. h. What can you derive from your answer to question f. about the change in revenue when the price is slightly increased starting from p=1? i. Find the…

suppose that supply function of given by Qs=15+2P,and due tk market situation,the maximum price is 8 birr,then find the domain and range of the function?