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After observing the impact of price controls, a government official commented that Market economy is a good way of organizing economic activity, do you agree or disagree.


A certain firm has plants A, B and C producing, respectively, 35%, 15% and 50%, of the total out. The




probabilities of a non-defective product are, respectively, 0.75,0.95 and0.85. If a consumer receives a




defective product, what is the probability that it came from plant C.

1. Two charges Q1=-5 NC and Q2=-7 nc are separated by 8 cm. Calculate tHe electric potential at point.

2. A research van de Graaf generator has a 2.50 mm diameter sphere with a charge of 6.00 UC on it.

A. What is the potential near its surface?

B. At what distance from its center is the potential 1.50 MV?



The cost of the development project is $500,000. The probability of successful development is projected to be 70%. If the development is unsuccessful, the project will be terminated. If it is successful, the manufacturer must then decide whether to begin manufacturing the product on a new production line or a modified production line. If the demand for the new product is high, the incremental revenue for a new production line is $1,200,000, and the incremental revenue for the modified production line is $850,000. If the demand is low, the incremental revenue for the new production line is $700,000, and the incremental revenue for the modified production line is $150,000. Consider that the cost of developing a new product line is $300,000 and for the modified product line is birr $100,000. The probability of high demand is estimated as 40%, and of low demand as 60%


a. Draw up an appropriate decision tree for the given project.


b. What strategy maximizes the project’s expected profit?




A dispatcher for a City’s Taxi Association has five taxi cabs at different locations and four customers who have called for transportation service. The distance (in km) from each taxi’s present location to each customer is shown in the following table.


Cab Customer I II III IV A 7 2 4 10 B 5 1 5 6 C 8 7 6 5 D 2 5 2 4 E 3 3 5 8 a. Determine the optimal assignment that will minimize the total distance travelled. b. Compute the total minimum distance of the optimal assignment. c. If customer III remains to be unavailable due to unexpected case, what will be the revised set of assignment.

  1. What is the difference of monosaccharide and disaccharide?
  2. Give one example of monosaccharide and a disaccharide.

The doctor advises a patient visited him that the patient is weak in his health due to shortage of two vitamins, i.e., vitamin A and vitamin D. He advises him to take at least 40 units of vitamin A and 50 units of Vitamin D every day. He also advises that these vitamins are available in two tonics X and Y. Each unit of tonic X consists of two units of vitamin A and three units of vitamin D. Each unit of tonic Y consists of four units of vitamin A and two units of vitamin D. Tonic X and Y are available in the medical shop at a cost of Birr three per unit of X and Birr 2.50 per unit of Y. The patient has to fulfill the need of vitamin by consuming X and Y at a minimum cost.

a. Formulate the primal linear programming model for the patient’s problem and solve the problem using the simplex method

b. Indicate the range over which objective function coefficient of basic decision variables can change without changing their optimal values.



Create a class called Match that will have team the class must have the following data members and methods:









Data Members:





• This class has two data members named HomeTeam and VisitorTeam which are of type Team, they will store that two teams that will play the Match.





Methods:





• This class doesn’t have a default constructor, it only has one constructor which receives two Team object that will be assigned to HomeTeam and VisitorTeam.





• setTeams(),which receives two Team object that will be assigned to HomeTeam and VisitorTeam.





• playMatch(), simulates match play by calling the scoreGoals methods of each team.





• getPlayGound(), returns the ground of play which is the HomeGound of the HomeTeam.





• isDrawMatch(), will return true if the Match is a draw and false if there is a winner. The match is a draw if the goals of the teams are equal.





• getWinner(), returns the team which won the match, a team wins if its goals is higher than the goals of the other team.









Domestic cows can be bought for $200 each but Hybrid cows cost $500 each. The domestic cows produce 30 gallons of milk per week and the Hybrid ones produce 50 gallons of milk per week. A gallon of milk can be sold for $3. A cow costs $100 per week to feed. If the financial constraint is to spend $8000 for cows and the capacity constraint is that total number of cows to be bought cannot exceed 20 cows. Formulate a linear programming model for this problem, and find the optimal combination of domestic and hybrid cows that maximize the total profit earned using the graphic Method


Coronavirus in the Philippines: The COVID-19 risk, impact and measures



By Praveen Duddu (An Excerpt)




Preventive measures by the Philippine government The Philippine government is taking several steps to control the spread of the virus, including travel restrictions, closure of schools and colleges, as well as training schools of the Philippine National Police.







Educational institutes in the country are announced to be closed from March 9 to March 15, whereas in Metro Manila the classes will be suspended until April 12.



Stringent social distancing measures will be in place in the National Capital Region (NCR) for 30 days from March 15.



The government announced earlier on February 2, 2020 that all persons except Filipino citizens and permanent resident visa holders were temporarily barred from entering the country.



A temporary ban on Filipinos from traveling to China or its special administrative region was also imposed.



Summarize it using SAAC method.

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