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Question: Consider the problem
max U(x, y) = 100 - e-x - e-y subject to px + qy = m
(a) Write down the first-order conditions for the problem and solve them for x, y, and λ as functions of p, q, and m. What assumptions are needed for x and y to be nonnegative?
(b) Verify that x and y are homogeneous of degree 0 as functions of p, q, and m.
If you were to run a regression with dog weight as the dependent variable, choose an appropriate set of independent variables and report your proposed regression equation. How would you judge the effectiveness of your regression model
an esp experiment is done in which a participant guesses which of 8 cards the researcher has randomly picked where each
Find an equation of the tangent line to the graph of y = f (x) at the point with x = 6. Choose one of the options and then explain your reasoning in one sentence.
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
Integration Practice. Problem- Find an anti-derivative of the following functions: x ln x and x2 ln x
Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
The formula C = 5/9 (F -32) gives the Celsius temperature C in terms of the Fahrenheit temperature F. Transform the formula to find Fahrenheit temperature in terms of Celsius temperature. Then find the Fahrenheit temperature when the Celsius tempe..
Let A = {1, 2, 3, 4, 5} and R be the relation on the set A whose matrix is attached below. Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or transitive. For each property, either explain why R has that propert..
A 65.0 silver object and a 70.0 gold object are both added to 45.5 of water contained in a graduated cylinder. What is the new water level in the cylinder?
In Example, assume the data are good to four significant digits, and then find the dimensions of the box.
If you purchase a six-pack of sodas, and measure the amount in each can and find the average, the probability that the average of the six cans will be between 11.9 and 12.1 oz equals which standard normal probability?
Material for the sides costs $10 per square meter. Find the cost of the materials for the cheapest such container. Round the result to the nearest cent.
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