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Let (P) denote the LP problem in SEF, let x be an optimal solution for (P) and y be an optimal solution for its dual (D). Let (P') denote the problem obtained from (P) by adding 5 times its first constraint to its second constraint, and let (D') be the dual of (P'). Find opt. solutions of (P') and (D') and justify it.
Postal regulations specify that a parcel sent by parcel post may have a combined length and girth (distance around) of no more than 102 inches. If a rectangular package has a square end, find the maximum volume of this package.
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
determine the circumference of a circle circumscribed about a square an equilateral triangle a regular hexagon a right
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
Seiji and Gavin both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?
Find the z value to the right of the mean such that 85% of the total area under the standard normal distribution curve lies to the left of it?
What is the probability density function for the lifetime of the machine assuming that it will only function if all 10 components are working. The pdf for one component is f(x)=Ax(12-x) for 0
Fenced-In Land. A farmer has 100 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
Derek has just retired, and has 400000 dollars in his retirement account. The account will earn interest at an annual rate of 8 percent, compounded monthly.
Resistors R1, and R2, have resistances of 50.0 Ohms, and 10.0 Ohms. R1 and R2 are connected in series-parallel circuit. What is the total resistance in ohms?
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
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