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mux=120-10x

muy=160-20y

price of x=rs.10/=

price of y= rs.20/=

income=220/=

calculate the total utility from the consumption of 4 units of good x and 5 units of good "y


The income elasticity is +2 and income increases by 20%.sales were 5000 units, what woill they be now




Suppose the price of the good is 5, and that is increases by 5\% . As a consequence, the demand of another good decreases by 20 * o/o . Calculate the cross-price elasticity for the other good. Is the other good a substitute good or a complementary good to the first one?

Firm’s total cost function is given as 4Q3 – 40Q2 + 10Q. This firm operates in a perfectly competitive market. What is its profit maximizing level of output?



Production function of a firm has the following form: 

Q= 48L2 – 4L3 , where L stands for amounts of labor and Q represents level of output

Find the level of output at a point where marginal product reaches its maximum.


a firm faces the following demand function: Q=25 – 0,25P. Its total cost function is given by the following relation: TC=2Q2 – 50Q+850. Calculate firm’s fixed cost at the level of output of 520 units.


  1. A product’s production function is given as Q=50KL. Assume all factors of production are variable. What would be the minimum level of output of production if a firm wants to produce 2000 units of output. Price of labor is 20, price of capital is 80.

discuss with the use of examples, whether the government should directly provide certain goods and services in an economy


In a perfectly competitive and constant cost industry, all firms are identical. If the market demand function is:QD=600-P, a typical firm’s cost function is:

TC=q3- 20q2 +120q

  1. In the long run, what is the firm’s equilibrium production decision?
  2. In the long run, what is the market equilibrium price and quantity? What is the industry’s long run supply curve?
  3. In the long run, how many firms will stay in the industry?
  4. If the government decide to impost a $7 tax per unit, what is the new long run equilibrium market price and quantity? 
  5. How many firms are producing after the tax? 

Think about a monopolist, the market (inverse) demand function is: P = 30-2Q, his cost function is: C(Q) = 5+ Q2

  1. What is the monopolist’s optimal quantity and price? 
  2. What is the monopolist’s highest profit? 
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