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a) Find the dimensions of a rectangular box of volume V = 1000 in3 for which the total length of the 12 edges is a minimum using the Lagrange multiplier method.
(b) Find the change in the dimensions of the box when the volume is changed to 1200 in3 by using the value of λ* found in part (a).
How many times will each person shake hands with someone else? How many handshakes will occur? How must your method vary according to whether or not n is even or odd?
A production manager is faced with the question of how to allocate the manufacturing of a microwave oven between his own company and a subcontractor, because neither firm can handle the demand alone.
A random child is chosen in the town (with equal probabilities). Find the PMF, mean, and variance of the child's birth rank.
How many demand-side constraints are there? Write the demand-side constraints.
1. Use the field axioms and their consequences to prove the following properties of real numbers. Your proofs should be careful and complete, with only one axiom, theorem, or other justification per step.
Given the simple regression model, Y=Beta0 + beta0 X and the regression results follow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than 0 using the probability of type 1 error equal to 0,0..
Determine the average amount of time that a guest spends checking in. How would this change under each of the state options? Which option do you recommend?
Do not reject H0; the percentage of Americans who only use cell phones does differ from 23% Do not reject H0; the percentage of Americans who only use cell phones does not differ from 23%
Description of the ethical decision-making model. The goal(s) of the strategy. Details about using the ethical decision-making model of your choice
In a certain chain reaction, occuring in discrete time, at each step a particle will produce either 0, 2 or 3 new particles, with equal probabilities independently of all the other particles. Beginning with one particle, what is the probability th..
What is the maximum purchase price the company should pay for additional leather - write the formulation of the associated dual problem.
Theater policy requires that once a movie is started it must be shown in consecutive weeks. It can not be stopped and restarted again. To represent the schedule possibilities for each movie, the following decision variables were developed:
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