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c) A project has the following cash flows
Year 1 2 3 4
Cash flow 30,000 40,000 40,000 90,000
The cost of the project is Ksh150, 000. Determine whether project is acceptable if the cost of capital is 18% using the IRR method
Year 1 2 3 4
Cash flow 30,000 40,000 40,000 90,000
The cost of the project is Ksh150, 000. Determine whether project is acceptable if the cost of capital is 18% using the IRR method
Define a relation R on Z , by } R ={( ,n n + 3 k|)k ∈Z.
Check whether R is an equivalence relation or not. If it is, find all the distinct
equivalence classes. If R is not an equivalence relation, define an equivalence
relation on Z . (5)
b) Consider the set }1 X = R {\ − . Define ∗ on X by
X x x x x x x x , x 1
∗ 2 = 1 + 2 + 1 2∀ 1 2 ∈ .
i) Check whether ) ( ,X ∗ is a group or not.
ii) Prove that x ∗ x ∗ x ∗K∗ x (n times) = 1( + )x −1 ∀ n∈N
n
and x ∈X
Check whether R is an equivalence relation or not. If it is, find all the distinct
equivalence classes. If R is not an equivalence relation, define an equivalence
relation on Z . (5)
b) Consider the set }1 X = R {\ − . Define ∗ on X by
X x x x x x x x , x 1
∗ 2 = 1 + 2 + 1 2∀ 1 2 ∈ .
i) Check whether ) ( ,X ∗ is a group or not.
ii) Prove that x ∗ x ∗ x ∗K∗ x (n times) = 1( + )x −1 ∀ n∈N
n
and x ∈X
Which of the following sets are convex? Give reason.
(i) A={(x1, x2):x1,x2 ≤1; x1, x2 ≥0}
(ii) B={(x1, x2):x2-3≥x1²; x1, x2 ≥0}
(i) A={(x1, x2):x1,x2 ≤1; x1, x2 ≥0}
(ii) B={(x1, x2):x2-3≥x1²; x1, x2 ≥0}
True or false, why? (1) the level curves of z=y/x are hyperbolas. (2) lim (x,y) tends to (0,0) x^2-y^2/x^2+y^2 does not exist. (3) the set {(x,y,z)/x>0,y>0,z<0} is domain in R^3. (3) the work done by the force F(x,y)=(-y,x) in moving a particle along the boundary of the ellipse 9x^2+4-y^2=36 is 6 (5) the function f(x,y,z) = e^xyz is integrable over [0,1]×[0,1]×[0,1].
A warehouse has only one loading dock manned by a three person crew. Trucks arrive at the loading dock at an average rate of 5 trucks per hour and the arrival rate is Poisson distributed. The loading of a truck takes 10 minutes on an average and can be assumed to be exponentially distributed. The operating cost of a truck is Rs.20 per hour and the members of the loading crew are paid Rs.8 each per hour. Would you like to advise the truck owner to add another crew of 3 persons? 5 marks question, detailed answer please.
Solve the following integer linear programming problem:
Max 2x1 + 5x2 + 7x3
Subject to,
4x1 + 3x2 + x3 ≥ 29
Where x1, x2, x3 are non-negative integers.
Max 2x1 + 5x2 + 7x3
Subject to,
4x1 + 3x2 + x3 ≥ 29
Where x1, x2, x3 are non-negative integers.
Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)
(a) odd and doubles
(b) odd or doubles
(a) odd and doubles
(b) odd or doubles
Student Q.T. M.A
Ranking Ranking
A 2 3
B 7 6
C 6 4
D 1 2
E 4 5
F 3 1
G 5 8
H 8 7
Work out the spearman rank correlation .
Ranking Ranking
A 2 3
B 7 6
C 6 4
D 1 2
E 4 5
F 3 1
G 5 8
H 8 7
Work out the spearman rank correlation .
A study by consumer Exports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this results applies to its own product, the manufacturer of a national name brand Ketch up asked a sample of shoppers whether they believe that super markets Ketchup was as good as the national brand Ketchup.
a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket Ketchup was as good as the national brand Ketchup differed from 64%.
b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand what is the P-value?
c. At ∝ = 0.05, what is your conclusion?
d. Should the national brand Ketchup manufacturer be pleased with this conclusion? Explain.
a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket Ketchup was as good as the national brand Ketchup differed from 64%.
b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand what is the P-value?
c. At ∝ = 0.05, what is your conclusion?
d. Should the national brand Ketchup manufacturer be pleased with this conclusion? Explain.
Math
plz tell whether these statements are true or false with justification:--
(i) For a transportation problem with 4 origins and 5 destinations, the maximum number
of basic cells is 9.
(ii) If the LP relaxation of an integer linear programming problem has a feasible solution,
the integer linear programming problem also has a feasible solution.
(iii) In a project network diagram, the critical path is the longest among all paths
(i) For a transportation problem with 4 origins and 5 destinations, the maximum number
of basic cells is 9.
(ii) If the LP relaxation of an integer linear programming problem has a feasible solution,
the integer linear programming problem also has a feasible solution.
(iii) In a project network diagram, the critical path is the longest among all paths
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#340153 on Dec 2023
#340153 on Dec 2023