Demand Function

The total cost function of a firm is C= (5)/(3) x^(3)-10x^(2) + 32x + 15 , where C is the total cost and x is the output. A tax at the rate of Rs2 per unit is imposed by the Govermment and the producer adds it to its cost. Demand function is given by p= 4534-10x , where p is price per unit of the output. Find the profit function

There are only 3 consumers (X, Y and Z) in a market and there demand functions are given as : Q_(X) = 30 - 2P , Q_(Y) = 40 - 3P , Q_(Z) = 50 - 4P From the given individual demand functions, determine the market demand function. Also, calculate the market demand at a price Rs. 10 per unit.

A company is selling a certain product. The demand function of the product is linear. The company can sell 2000 units, when the price is Rs8 per unit and when the price is Rs4 per unit, it can sell 3000 units. Determine: (i) the demand function (ii) the total revenue function.

The demand function is x=(24-2p)/(3) where x is the number of units demanded and p is the price per unit. Find : (i) The revenue function R in terms of p. (ii) The price and the number of units demanded for which the revenue is maximum.

Let there be two consumers A and B in the market for a good. Their demand functions are given below. Find out the market demand function: (i) d_(A)(P) =20-P for ple20 and d_(A)(P)=0 if P gt 20 (ii) d_(B)(P)=30-2P for P le 15 and d_(B)(P)=0 if P gt 15

Suppose there are 20 consumers for a good and they have identical demand functions : d(p) = 10 -3p for any price less than or equal to (10)/(3) and d_(1)(p) 0 at any price greater than (10)/(3) . What is the market demand funciton ?

The demand function for a particular commodity is y=15e^(-x/3)," for "0 le x le 8 , where y is the price per unit and x is the number of units demanded. Determine the price and quantity for which revenue is maximum.

If the demand function p is given by x=(600-p)/(8), where the price is Rs p per unit and the manufacturer produces x unit per week at the total cost of Rs.x^(2)+78x+2500 then find the value of x for which the profit is maximum

The are 10,000 identical individual buyers in the market for commodity X, each with a demand fucntion given by Qdx=12-2Px and 1,000 indentical producers of commodity X, each with a supply function given by Qsx=20Px. (i) Find the market demand function and the market supply function for commodity X. (ii) Obtain the equilibrium price and equilibrium quantity. (iii) Suppose the government decides to collect a tax of rupee 2 per unit sold from each of the 1,000 sellers of commodity X. What effect will this have on the equilibrium price and quantity of commodity X?

S(P) =1/2P + 40 D(P) = 220-P The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S P( ) gives the quantity of the product supplied to the market when the price is P dollars, and the function D P( ) gives the quantity of the product demanded by the market when the price is P dollars. At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?