An employee\'s monthly productivity M, in number of units produced, is found to

Question

An employee's monthly productivity M, in number of units produced, is found to be a function of the number t of years of service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved. M(t) = -3t2 + 144t + 170, 0 le t le 40 The maximum productivity is achieved in year The maximum productivity is units. Determine the horizontal asymptote of the function. f(x) = 4x/x3 - 3x2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. y = (Simplify your answer.) There is no horizontal asymptote. f(x) = 1 - 5x2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The relative minima are and the relative maxima are . The relative maxima are and there are no relative minima. The relative minima are and there are no relative maxima. A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object. Suppose a person has a windpipe with a 16-mm radius. If a foreign object has a radius r, in millimeters, then the velocity V, in millimeters/second, needed to remove the object by a cough is given by the following equation, where k is some positive constant. For what size object is the maximum velocity needed to remove the object? V(r) = k(16r2 - r3), 0 le r le 16 An object that has a radius of mm will need maximum velocity to remove it. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = (x + 1)1/3; [-2,26] The absolute maximum value is at x = . The absolute minimum value is at x = . f(x) = 2x + 2/x; (0,infinity) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute minimum value is at x = and the absolute maximum value is at x = . The absolute maximum value is at x = and there is no absolute minimum. The absolute minimum value is at x = and there is no absolute maximum.

Explanation / Answer

Maximum productivity in 24 years.

Maximum productivity = 1898 units

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