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For Optimization problems, if the primal problem has multiple optimal solutions (the line segment from (x,y) to (x',y')), then does this necessarily imply that the dual problem also has multiple optimal solutions as well, or is it possible that the optimal solution to the dual problem is still unique?
The bucket is filled with 45 pounds of water and is pulled up at a rate of 1.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well. Your answ..
if her account earns 4% interest, compounded monthly, then when she retires, what is her maximum possible monthly withdrawal (without running out of money)?
One card is drawn from a well-shuffled deck of 52 cards (no jokers). Find the probability of drawing a card above an 8(count an ace as high).
Test car A is traveling at a rate of 146 . Test car B is traveling at a rate of 93 . Which car is moving at the faster rate?
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
if the radius of a circle is 14 inches and the arc of the circle is 30 degrees. what is the area of the shaded sector in between?
The base of a rectangle lies on the -axis, while the upper two vertices lie on the parabola . Suppose that the coordinates of the upper right vertex of the rectangle are . Express the area of the rectangle as a function of .
question a square and a rectangle have the same area of 36cm2. what is thelength of the side of the square? if the
A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3862 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses gallons sold as a functio..
Two tanks with equal volumes are shown below.The tops are open.The owner wants to cover one tank with a glass top.The cost of glass is $0.05 per square inch.Which tank would be less expensive to cover
Probability of a student receiving a particular grade, A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course
A random sample of 48 days taken at a large hospital shows that an average of 38 patients were treated in the emergency room (ER) per day. The standard deviation of the population is 4.
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