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In a study of television viewing, the mean number of television program they watched during daytime was 7. A survey was conducted on the random sample of 25 households and found that the mean number of television program they watched during daytime was 5 with a standard deviation of 1.5. Test the hypothesis at 10% level of significance.

Parameter: _______________________________________

Statistic: ________________________________

Null Hypothesis: ____________________________________________________

Alternative hypothesis: _____________________________________________


A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table


Small medium large


Electronic circuit component 5 7 10


Assembly time (n) 1 3 4


Cases 1 1 1


The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then


A. How many of each should be produced to yield maximum profit


B. What is the maximum profit?




A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?


A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?


A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?


A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?


A firm manufactures three different types of hand calculators and classifies them as small, medium, and large according to their calculating capabilities. The three types hone production requirements given by the following table

                                                Small         medium               large

Electronic circuit component          5                    7                       10

Assembly time (n)                           1                    3                        4

Cases                                               1                    1                        1

The firm has methyl limit of 90.000 circuit components, 30.000 hours of labor and 9000 cases. If the profit is birr 6 for the small, birr 13 for the medium and birr 20 for the large calculator, then

A.    How many of each should be produced to yield maximum profit

B.    What is the maximum profit?


the probabilities a team wins draws or loses any particular game at 0.6, 0.1, 0.3 respectively. find the probability that the teams wins at least one of its next two games


. A new machine is being considered to replace the



old machine being used. This new machine was



tested for 10 consecutive hours with the following



output: 119, 122, 118, 122, 120, 124, 126, 125, 125,



and 124. If the average output per hour using the old



machine is 120 units, is the management justified in



stating that the output per hour can be increased with



the new machine? Use a 0.01 level of significance.

Maximize z = 15x1+45x2




Subject to x2<= 50, x1+1.6x2<= 240, 0.5x1+2x2<=162 and all x1,x2=>0.




If Maximize z° = c1x1+c2x2 and c2 is fixed at 45, determine how much c1 can be changed without affecting the above optimal solution.

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