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1. Consider the following LPP Without using artificial variable(s), solve the given LPP (do not solve the dual problem). Write the dual of the above problem.
2. Consider the following LPUsing M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions.Write the dual of the above problem. Also, write the optimal solution of the dual problem (from the optimal table of part
(a)).What can you conclude regarding the relationship of solution of primal and dual problems?
3. The following is an optimal LP tableau:
The variables,andare slacks in the original problem. Using matrix manipulations, reconstruct the original LP, and then compute the optimum objective value. Also, compute the optimum objective value by using dual objective function.
Create your own set Z that is a proper subset of Set X.
Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
a pebble is dropped into a still pond, causing ripples in the form of concentrate circles. The radius r of the outer circle is increasing at a rate of 25 cm/s. When the radius is 100 cm, at what rate is the total area of the diturbed water increas..
A plane flying into a headwind travels 216 miles in 2 hours and 42 minutes. The plane does the return flight in 2 hours. Find the speed of the plane and of the wind.
With one method called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is acepted if everyitem in the sample is okay
If the outside of a picture frame measures 9 in by 15 in. of the picture shows. Find the thickness of the frame?
The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. IN a sample of 300 persons to whom materials were sent,30 students applied for admission..
If the manager of the retail store wants to be sure that hehas enough suits for the next 5 days, how many should the manager purchase?
What ordering cost would enable the manager to justify ordering every other day? (Round your intermediate calculations and final answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
the hypotenuse of a right triangle is 17 ft long. one leg is 3.4 ft longer than the other leg. what are the lenghts of the legs?
Give the horizontal asymptotes. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.
A car rental agency rents 220 cars per day at a rate of 31 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
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