Operations Research Answers

The optimal solution for an LPP always lies on at least two vertices of the feasible region. 

Which of the following is a correct statement?

 If the primal problem is in its standard form, dual variables will be non-negative.

Dual simplex method is applicable to an LPP, if initial basic feasible

solution is not optimum.

 Dual simplex method always leads to degenerate basic feasible solution.

If the number of primal variables is very small and the number of

constraints is very large, then it is more efficient to solve the dual rather

than the primal problem.

Red and White Pizza Pies, Inc. makes pizza pies in two (2) flavors, regular and white pizza. Each pie uses one (1) portion of dough. Each regular pie has one (1) portion of sauce and one (1) portion of cheese. Each white pizza has no sauce but use two (2) portions of cheese. A regular pizza contributes $2 to profit while a white pizza contributes $3 to profit. Red and White Pizza starts out with 4 portions of dough, 3 portions of sauce and 6 portions of cheese available. The company must decide how many pies of each type to make per hour

Suppose you are the marketing manager of a company, and the reports and records show a 10% decrease in sales compared to last year, and a decrease in market share by 5% compared to the total sales of competitors offering the same goods in the same market.

Apply the decision-making model with its sequential logical steps to this case, mentioning the details of each step in an accurate, scientific and practical manner, as in the ideal theoretical case for decision-making, and as it is also done in the actual reality?

Suppose you are the marketing manager of a company, and the reports and records show a 10% decrease in sales compared to last year, and a decrease in market share by 5% compared to the total sales of competitors offering the same goods in the same market.

Apply the decision-making model with its sequential logical steps to this case, mentioning the details of each step in an accurate, scientific and practical manner, as in the ideal theoretical case for decision-making, and as it is also done in the actual reality?

1.    Dire Dawa Administration has decided to carry out road repairs on main four arteries of the Administration. The government has agreed to make a special grant of birr 50 million towards the cost with the condition that the repair must be done at the lowest cost and quickest time. If conditions warrant, then the supplementary token grant will be considered favorably. The Administration has floated the bid and 5 contractors have submitted their bids. In order to expedite their work, one road will be awarded to only one contractor.  

Take the data of the output of your organization, summarise them with some tool (like bar chart, pie chart, etc.) and discuss the result. Give your opinion to improve the results in the future