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A company uses x hours of unskilled labour, and y hours of skilled labour, to produce F(x,y) = 60x2/3 y1/3 units of output. It currently employs 400 hours of unskilled labour and 50 hours of skilled labour. The company is planning to hire an additional 5 hours of skilled labout.
Use a linear approximation (degree one approximation) to decide by about how much the company can reduce its use of unskilled labour and keep its output at current level.
Develop a Racket program that provides definitions for the following functions. A function that returns the greatest common divisor of two integers
A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
Assume that we select a random sample of {n=64 plumbers} what is the probability that the sample mean will be greater than $740?
Given the adjacency matrix of a rooted tree and a vertex in the tree, find the parent, children, ancestors, descendants, and level of this vertex.
Given the sample statistics, which level of confidence will produce the narrowest results?
Estimate the relative error in the calculated surface area.
A wholesale manufacturer of canned corn wants a tin can (a right circular cylinder) that will have a volume of 54 cubic inches. As little tin as possible as possible is to be used in the construction of the can. Determine its height and diameter.
A catalog describes two types of freezers. Type A has a storage capacity of 60 cm x 60 cm x 150 cm and costs $339; type B has a storage capacity of 55 cm x 72 cm x 160 cm and costs $379. Which freezer gives you more cubic cm per dollar?
A pension fund decides to invest $720 million in the shares of XYZ Inc., a company with a volatile share price. Rather than invest all the funds.
a sub-system assembly consists of a combination of three components each with a dimension of 3.44 5.21 and 4.36 inches
What percent spend less than $5.00 per passenger?
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