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A company has a production function with three inputs x, y and z given by f(x, y, z)= 50x^2/5y^1/5z^1/5. The total budget is $24000 and the company can buy x, y and z at$80,$12 and $10 per unit respectively. What combination of inputs will maximize production?
Let A and B be sets. Show that A x B and B x A have equal cardinality by constructing an explicit bijection between the two sets. Then use the following proposition to prove that multiplication is commutative. (Let n, m be natural numbers. Then nx..
In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
two forces act on an object. a 36N force acts at 225 degrees celcius, a 48-N force acts 315 degrees celcius what is the magnitude and direction of their equilibrant.
Find the standard equation of an ellipse with vertices at (-13,2) and (1,2) and e= 4/7
Determine the time it takes the ball to reach its maximum height:
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
What is the bound of a confidence interval with a width of 13? Report your answer to two decimal place.
Two tanks with equal volumes are shown below.The tops are open.The owner wants to cover one tank with a glass top.The cost of glass is $0.05 per square inch.Which tank would be less expensive to cover
Whizbang corporation discovered that hazardous waste material was buried on property it now owns by the previous owner. it will cost $1.5 million to remove the hazardous was and dispose of it properly. is it appropriate for the whizbang board of dire..
A family is canoeing downstream (with current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank.
(c) If its weekly cost function is C(x) = 68000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its prot?
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