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function are                                                                                                                        

P1 = 80 – 2.5Q1

P2 = 180 – 10Q2

The monopolist total cost

TC = 50 + 40Q

Determine the price to be charged in the two markets and amount of output to be sold in each market so that profit is maximize. find the total profit to be made from the strategy of price discrimination.


Find the optimum level of output and profit from the cost function

TC = 50 + 6Q2

 and price

P = 100 – 4Q

Also derive marginal cost and marginal revenue. 


Suppose that the production function is given as follows:

TPL = 10L + 5L2 + L3

Find the total product, Marginal product and average product when L = 5. 


If the demand function faced by a firm is:

Q = 90 – 2P

TC = 2 + 57Q – 8Q2 + Q3


Determine the level of output at which the firm maximizes the profit.


Determine the best level of output for the above question by the MR and MC approach.



If the demand function faced by a firm is:

Q = 90 – 2P

TC = 2 + 57Q – 8Q2 + Q3


Determine the level of output at which the firm maximizes the profit.



Q) Given TC = 120 + 50Q – 10Q2 + Q3

Find

a.      The equations of the TVC, AVC, and MC functions.

b.     The level of output at which AVC and MC are minimum, and prove that the AVC and MC curves are U-shaped.

c.      Find the AVC and MC for the level of output at which the AVC curve is minimum.





Suppose that the production function of the firm is:

Q = 100L1/2.K1/2

 K= 100, P = $1, w = $50 and r = $40. Determine the quantity of labor that the firm should hire in order to maximize the profits. What is the maximum profit of this firm?





Suppose the following demand and supply function:

Qd = 750 – 25P

Qs = -300 + 20 P


       i.           Find equilibrium price and quantity

     ii.           Find consumer and producer surplus



Formulate the demand equations and estimate Qd for P=33 by using the following data:   


Price level Quantity Demand

38 200

36 500

34 800

32 900

30 1000

28 1400


it works out the demand function for the book as:                                              

Q = 5000 – 5P

Find out

i)                   Demand curve

ii)                 Number of book sold at P = Rs. 25

iii)               Price for selling 2500 copies

iv)               Price for zero sales

v)                 Elasticity for fall in price from Rs. 25 to Rs. 20.


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