Determine whether the statement is true or false.In an initial simplex tableau, if the augmented column above the horizontal line contains a negative number, then the objective function is unbounded and no optimal solution exists.

A. True
B. False


Answer: B

Mathematics

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Find the linearization of the function at the given point.  at  

A.
B.
C.
D.

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Solve the problem.Water is falling on a surface, wetting a circular area that is expanding at a rate of  How fast is the radius of the wetted area expanding when the radius is  (Round your answer to four decimal places.)

A. 0.0089 mm/s B. 112.4689 mm/s C. 0.0559 mm/s D. 0.0178 mm/s

Mathematics

Solve the problem.Emily just bought a house. She made a $30,000 down payment and financed the balance with a 35-year home mortgage loan with an interest rate of 5% compounded monthly. Her monthly mortgage payment is $960. What was the selling price of the house? Round your answer to the nearest dollar.

A. $219,303 B. $241,348 C. $260,783 D. $250,217 E. $220,217

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Find the distance d(P1, P2) between the points P1 and P2.

A. 3
B. 3
C. 45
D. 45

Mathematics