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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