Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and unskilled labor x satisfy 500 = (x + 3)3/4(y + 2)1/3. Find the rate of change of skilled-labor hours with respect to unskilled-labor hours when x = 622 and y = 62. This can be used to approximate the change in skilled-labor hours required to maintain the same production level when unskilled-labor hours are increased by 1 hour. (Round your answer to three decimal places.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and unskilled labor x satisfy
Find the rate of change of skilled-labor hours with respect to unskilled-labor hours when
and
This can be used to approximate the change in skilled-labor hours required to maintain the same production level when unskilled-labor hours are increased by 1 hour. (Round your answer to three decimal places.)
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