السؤال الأول: - Philadelphia



Question 1: (15 Points)

Choose the correct answer:

1) The solution of [pic] is:

A) [pic] B) [pic] C) [pic] D) [pic]

2) The solution of [pic] :

A) [pic] B) [pic] C) [pic] D)[pic]

3) Let [pic] then [pic]=

A) 11 B) -11 C) 22[pic] D) -22

4) If [pic]and [pic]then [pic]

A) 5 B) 8 C) 6 D) 9

5) If [pic] then [pic]=

A) [pic] B) [pic] C) [pic] D) [pic]

6) If the marginal cost is [pic] and the fixed cost is 12$

then the total cost is:

A) [pic] B) [pic] C) [pic] D) [pic]

7) If [pic] and [pic]then B+2A=

A) [pic] B) [pic] [pic] C) [pic] D) [pic]

8) Let A be a matrix of order 4x4 and det(A)=1 the det(2A)=

A) 2 B) 4 C) 8 D) 16

9) The critical point(s) for the function [pic] is(are):

A) [pic] B) [pic] C) [pic] D) [pic]

10) If [pic] then AB=

A) [pic][pic] B) [pic] [pic] C) [pic] [pic] D) [pic] [pic]

Question 2: (3 Points)

Find the first derivative [pic] for the following functions:

(1) [pic]

(2) [pic]

Question 3: (6 Points)

Evaluate the following integrals:

1) [pic]

[pic]

3) [pic]

4) [pic]

Question 4: (8 Points)

The demand equation of a good is 4P + Q-16 ’ 0 and the total cost function is[pic].

Find expressions for TR, [pic], MR and MC in terms of Q.

Question 5: (9 Points)

Given that the demand equation of a good is[pic] and the supply function is[pic].

(a) Find the equilibrium point [pic].

(b) Find the producer's surplus (PS).

(c) Find the consumer’s surplus (CS).

Question 6: (10 Points)

Consider the following system:

[pic]

[pic]

[pic]

a) Write the above system in matrix form.

b) Use Cramer's Rule to solve the above system.

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Philadelphia University Final Exam Date: 03/06/2010

Dept. of Basic Sciences and Math. Business Mathematics (0210105) Time: Two Hours

Student Name:…………………………………. Student Number:……………..……...

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