The feasible set (FS) for a certain linear programming problem is shown below. Determine the values for x and y that maximize 3x + 4y. What is the maximum value?

What will be an ideal response?


x = 3, y = 5; the maximum value is 29.

Mathematics

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Solve the problem.The polynomial  gives the predicted sales volume of a company, in millions of items, where x is the number of years from now. Determine the predicted sales 16 years from now. Round your answer to two decimals, if necessary.

A. 252.08 million B. 409.62 million C. 300.38 million D. 359.63 million

Mathematics

Evaluate f(x, y, z)dV where f(x, y, z) = 7y and T is the region bounded by the paraboloid y = x² + z² and the plane y = 1.

What will be an ideal response?

Mathematics

Find the coordinates of the vertex of the quadratic function.f(x) = -6x2 - 12x - 3

A. (2, -51) B. (-2, -15) C. (-1, 3) D. (1, -21)

Mathematics

Solve the problem.The concentration C (arbitrary units) of a certain drug in a patient's bloodstream can be modeled using  where t is the number of hours since a 500 milligram oral dose was administered. Using the TABLE feature of a graphing utility, find the time at which the concentration of the drug is greatest. Round to the nearest tenth of an hour.

A. 7.4 hours B. 8.1 hours C. 6.6 hours D. 8.9 hours

Mathematics