1.A multiple plant firm is faced with the following cost and production functions

Cost function C=2Q2+4Q22 -Q1Q2+10

Production function: Q1+Q2=16

Required determine the critical values of Q1 and Q2

Confirm that the critical value presents a minimum

2.A firm is wishing to maximize its output and the production function is given as

Q=K1/4L3/4

Suppose the per unit cost of capital is $2 and per unit cost of labor is $4 and the firm has only $40 to spent. Obtain

a. Optimal value of K,L that will be maximize output

b. Test whether this optimal value produce a maxima

3.Explain Euler's theorem and mathematically drive the Euler's formula

4. Explain the meaning of the term constraint maximization

5.Expalin the economic application of constraint optimization

6.What are the condition necessary for price discrimination

7.What are the major goals of price discrimination

8.Discuss the different degrees of price discrimination

9.What are the legal barriers of monopolistic market structures. Discuss them in details

10. Use the graph to explain the different stages of production