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A company has a production function with three inputs x, y, and z given by f(x,y,z)= 50(x(2/5))(y(1/5)) (z(1/5)). The total budget is $24,000 and the company can buy x, y, z at $80, $12, and $10 per unit, respectively. What combination of inputs will maximize production?
Let G be a graph with p vertices and p-1 edges. Prove that G is a tree iff any p-1 rows of the incidence matrix are linearly independent over Z/(2) (integers modulo 2).
The problem is: A car accelerates from 0mph to 60mph. Its velocity at time t is v(t)=8tmph where t is in seconds. Use an integral to find the total distance in miles it travels during its acceleration.
find the statistic that measures the width of dispersion (looseness or tightness) of the population data about its mean .
1. Which of these graphs of relations describe y as a function of x? That is, which are graphs of functions? Answer(s): __A,C__________
The data collection process
A sphere of radius 1 is covered in ink and rolled around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
Probability Calculating the Expected Value, You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3
Find the multiple integral under given condition using cylindrical coordinate - Determine the triple integral
The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
An entrepreneur has the following cost and revenue functions: TC = 30 + 3Q and TR = 4Q. calculate the equilibrium quantity algebraically and graphically at the break-even point.
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