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- In a linear programming problem the objective function and constraints were determined to be as follows(Solved)
In a linear programming problem the objective function and constraints were determined to be as follows
Required:
i) By simplex method find the final table.
ii) Give the optimal solution and the value of the corresponding objective function
iii) For the variable x2, give an interval for their objective function coefficient such that the present basic solution remains optimal
Date posted: February 20, 2019. Answers (1)
- Differentiate linear programming from assignment and transportation problems(Solved)
Differentiate linear programming from assignment and transportation problems
Date posted: February 20, 2019. Answers (1)
- What is sensitivity analysis on the objective function coefficients? Differentiate this with sensitivity analysis on the right hand side (RHS) constants(Solved)
What is sensitivity analysis on the objective function coefficients? Differentiate this with sensitivity analysis on the right hand side (RHS) constants
Date posted: February 20, 2019. Answers (1)
- A land resale firm, Shamba Nyingi Limited, sells land around the environs of Nairobi. The size and price data for a given year are as...(Solved)
A land resale firm, Shamba Nyingi Limited, sells land around the environs of Nairobi. The size and price data for a given year are as shown.
Required:
i) Determine the linear-regression equation of price on size.
ii) Describe the relationship between size and price.
iii) What do the equation coefficients represent?
iv) What is the estimated standard error of the regression equation?
v) Determine the prize when the size of land is 2,150 square meters.
Date posted: February 20, 2019. Answers (1)
- What is the estimated standard error of a regression equation?(Solved)
What is the estimated standard error of a regression equation?
Date posted: February 20, 2019. Answers (1)
- In testing records generated by two sub departments in a large firm, the following were the incorrect records obtained.(Solved)
In testing records generated by two sub departments in a large firm, the following were the incorrect records obtained.
Is the difference in number of incorrect records significant?
Date posted: February 20, 2019. Answers (1)
- A researcher finds that 65% of a random sample of 100 technicians can be classified as highly dissatisfied with
their job. With the scale used to...(Solved)
A researcher finds that 65% of a random sample of 100 technicians can be classified as highly dissatisfied with their job. With the scale used to measure job satisfaction, the percentage of highly dissatisfied people in all types of occupation has averaged 45%. Can the researcher conclude that a larger proportion of technicians is dissatisfied than is true for all occupations. (Use 5%level of significance)
Date posted: February 20, 2019. Answers (1)
- A sample should reduce as much as possible elements of bias since they deprive statistical result of its representativeness. Define a bias and describe at...(Solved)
A sample should reduce as much as possible elements of bias since they deprive statistical result of its representativeness. Define a bias and describe at least four examples of ways that bias is introduced in a sample.
Date posted: February 20, 2019. Answers (1)
- A performance test was done before and after training on 12 persons appointed in clerical positions in a cement factory warehouse in Athi River. Marks...(Solved)
A performance test was done before and after training on 12 persons appointed in clerical positions in a cement factory warehouse in Athi River. Marks were awarded on a 10-point scale as follows
Did the training improve performance?
Date posted: February 20, 2019. Answers (1)
- Write short notes on the following:
i) Uniform distribution
ii) Poisson distribution
iii) Normal distribution
iv) Beta distribution
v) t-distribution(Solved)
Write short notes on the following:
i) Uniform distribution
ii) Poisson distribution
iii) Normal distribution
iv) Beta distribution
v) t-distribution
Date posted: February 20, 2019. Answers (1)
- A major bank BKR Ltd calculates the credit ratings of its credit card customers on a monthly basis. The ratings are poor, good and excellent...(Solved)
A major bank BKR Ltd calculates the credit ratings of its credit card customers on a monthly basis. The ratings are poor, good and excellent depending on the payment history. The following matrix shows how the customers change from one category to the other in one month.
Required:
i) Interpret the elements 0.84, 0.2, 0.18 and 0.16. (4 marks)
ii) Given that in August 2003, from customer base of 100,000 the accountswere classified as
Poor 30,000
Good 50,000
Excellent 20,000
What is expected in October?
Date posted: February 20, 2019. Answers (1)
- A Markov process describes the movement among the different states of a system as a function of time. Give the various steps in using a...(Solved)
A Markov process describes the movement among the different states of a system as a function of time. Give the various steps in using a Markov process for determining a state at (t + 2) and steady state two periods after given state.
Date posted: February 20, 2019. Answers (1)
- The total cost function and demand function of Migoya Construction company (MCC) are as follows:(Solved)
The total cost function and demand function of Migoya Construction company (MCC) are as follows:
Required:
i) Write down the expression of average cost per unit and graph it for x values between x=0 and x=8.
ii) Write the expression for total revenue.
iii) If total revenue is to be maximized, what is the price to be charged?
v) What is the price that maximizes profit?
Date posted: February 20, 2019. Answers (1)
- How does differential calculus assist managers in their optimization problems when faced with single variables?(Solved)
How does differential calculus assist managers in their optimization problems when faced with single variables?
Date posted: February 20, 2019. Answers (1)
- MMK Ltd. plans to conduct a survey. The following table shows the tasks involved, the immediately preceding tasks and for each activity duration the most...(Solved)
MMK Ltd. plans to conduct a survey. The following table shows the tasks involved, the immediately preceding tasks and for each activity duration the most likely estimate (L), the optimistic estimate (O) and the pessimistic estimate (P).
Required:
a) Compute the mean duration and standard deviation for each task
b) The project is budgeted to cost Sh.500,000. Actual costs per day are Sh.10,000. By first identifying the critical path from drawing a network diagram can the project be implemented within the budget.
c) What is the probability of finishing the project 4 days earlier than the expected duration?
Date posted: February 20, 2019. Answers (1)
- Sikoka health club specializes in provision of sports/exercise and medical/dietary advice to clients. The service is provided on residential basis and clients reside for whatever...(Solved)
Sikoka health club specializes in provision of sports/exercise and medical/dietary advice to clients. The service is provided on residential basis and clients reside for whatever number of days that suit their needs. Budget estimates for the year ending 30 June 2003 is as follows:
Required:
i) Summary of budgeted contribution to be earned by Sikoka Health Club for the year ended 30 June 2003 for each of the nine possible outcomes.
ii) State the client fee strategy that will result from the use of the maximax, maximin and minimax regret decision criteria.
Date posted: February 20, 2019. Answers (1)
- What is Laplace criterion? How does it differ from Hurwicz criterion?(Solved)
What is Laplace criterion? How does it differ from Hurwicz criterion?
Date posted: February 20, 2019. Answers (1)
- A fruit/juice kiosk along Lusaka road, VegFresh kiosk has come up with the following formulae of making natural juice for its industrial area customers(Solved)
A fruit/juice kiosk along Lusaka road, VegFresh kiosk has come up with the following formulae of making natural juice for its industrial area customers
- 5 litres lemonade: 2 dozen lemon, 2 kg of sugar, 2 ounces of citric acid and water
- 5 litres grapefruit: 11/2 kg grape fruit, 11/2 kg of sugar, 1 ounces of citric acid and water
- 5 litres orangeade: 11/2 dozen of oranges, 11/2 kg of sugar, 1 ounces of citric acid and water
The selling prices of the fruit juices per every 5 litre are:
Lemonade: Sh. 37.50
Grapefruit: Sh. 40.00
Orangeade: Sh. 42.50
During the cold weather season (May 2002) VegFresh kiosk had in stock 2,500 dozen lemons,2,000 kg grape fruit, 750 dozen oranges, 5,000 kg of sugar and 3,000 ounces of citric acid
Required:
i) Formulate the linear programming problem
ii) Formulate the dual of this primal
Date posted: February 20, 2019. Answers (1)
- Define a dual problem in relation to the primal problem(Solved)
Define a dual problem in relation to the primal problem
Date posted: February 20, 2019. Answers (1)
- Given the following data of production of vehicles by a local car assembly KMA Ltd. Determine the deseasonalised data and using the forecasting relationship forecast...(Solved)
Given the following data of production of vehicles by a local car assembly KMA Ltd. Determine the deseasonalised data and using the forecasting relationship forecast the production in May 2003.
Date posted: February 20, 2019. Answers (1)