Get premium membership and access revision papers, questions with answers as well as video lessons.
Hbc2111:Management Mathematics Question Paper
Hbc2111:Management Mathematics
Course:Bachelor Of Commerce
Institution: Meru University Of Science And Technology question papers
Exam Year:2010
QUESTION ONE (30 MARKS) COMPULSORY
(a) assertion using well-thought illustrations. (3 Marks) (b) Briefly explain the following terms as used in the matrix theory. (i) Identity matrix (2 Marks) (ii) Determinant of a matrix (2 Marks) (c) Given the equation find y = (x2 + 1)3(x3 + 1)2
(3 Marks) (d) Given that the total revenue function for a blender is R(x) = 36x 0.01x2 where x the number of units sold. What is the average rate of change in revenue R(x) as x increases from 10 to 20 units? (4 Marks) (e) Find and classify the turning points of the function 3 x + 7 (4 Marks)
(f) Given that A =
1 3 4 0 2 1
, B = 1 3 2 1 0 4 1 2
and
1 0 3 3 2 1 0 1 1 4 2 2
Find: (i) AB (1 Mark) (ii) CA (2 Marks) (g) Use the matrix method to solve the following system of linear equations. 5 + 2 54 2 + 4 60 0, 0 (5 Marks) (h) Use the matrix method to solve the following system of linear equations. 2 5 = 4 + 2 = 3 (4 Marks)
QUESTION TWO - (20 MARKS)
(a) The revenue function for a product is given by R(x) = 10x + 100 3+5 where x is the number of units sold and R(x) is in Kenyan Shillings. Find: (i) The marginal revenue function. (5 Marks) (ii) The marginal revenue when 15 products are sold. (1 Mark) (b) Given the following system of linear equations + 4 = 1 2 + 3 + 2 = 0 1 2 + 5 = 2 Use the matrix method to solve them. (10 Marks) (c) The weekly sales S of a product during an advertising campaign is given by = 100 2+100 , 0 20 Where t is the number of weeks since the beginning of the campaign and S is in thousands of shillings, determine the maximum weekly sales after the end of the campaign period. (4 Marks)
QUESTION THREE (20 MARKS)
(a) Briefly explain the following terms as used in linear programming.
(i) Objective function (2 Mark)
(ii) Constraints (2 Marks)
(b) State and explain three assumptions of linear programming. (6 Marks) (c) A company is manufacturing two products A and B. the manufacturing time required to make them, the profit and capacity available at each work centre are given below
Work centre product
Machinery hour Fabrication hours
Assembly hours Profit per unit
A 1 5 3 80
B 2 4 1 100
Total Capacity 720 1800 990
Determine the product mix that will maximize the profit. (10 Marks)
QUESTION FOUR (20 MARKS)
(a) Given that f(x) = (23 + 3 + 1) (2 + 4) Find the derivative of f(x) and simplify your answer completely. (3 Marks) (b) Find the integral given below (3 + 42 + 1 2 ) (c) Given that the marginal cost for a certain commodity is represented by the equation MC
= 3(2 + 25)
1 2) and the fixed cost for the month is Ksh11,125. Determine the total cost for producing 300 items per month.
(3 Marks)
(d) A two segment economy consists of manufacturing and agriculture. To produce one unit of manufacturing output requires 0.40 units of its own output and -0.20 units of agricultural output. To produce one unit of agricultural products requires 0.30 unit of its own output and 0.40 units of manufacturing output. If there is a demand of 240 units of manufacturing and 90 units of agriculture. What should be the output of each segment? (10 Marks)
QUESTION FIVE (20 MARKS)
(a) Evaluate the following (i) 2 + 6 (3 Marks) (ii) (2 + 7) (3 Marks) (b) A firm produces three types pans, round bottom, square bottom and triangular bottom. as shown below. Per utilization Inputs Round bottom Square bottom Triangle bottom Availability Raw Materials Man hours Machine hours 6 8 7 5 4 6 3 5 3 110 130 125
(i) Model the problem as a system of simultaneous equations. (4 Marks) (ii) Solve the model above to find the numbers of units of each product to produce in order to utilize completely the available resources. (8 Marks) (c) (2 Marks)
More Question Papers
Popular Exams
Return to Question Papers