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"A farmer grows three crops: corn, oats, and soybeans. He mixes these together to feed his own cows and pigs. At least 40% of the feed mix for the cows must be corn. THe feed mix for the pigs must contain at least twice as much soybeans as corn. He has harvested 1000 bushels of corn, 500 bushels of oats, and 1000 bushels of soybeans. He needs 1000 bushels of each kind of feed mix for his livestock. The unused corn, oats, and soybeans can be sold for $4, $3.50 and $3.25 a bushels, respectively (and thus, these amounts also represent the cost of the crops used to feed the livestock). How many bushels of each crop should be used in each type of feed mix in order to produce sufficient food for the livestock at minimal cost?
Compare and contrast internal and external validity. Describe and give examples of research questions for which external validity is a primary concern.
Identify the relevant variable for this problem. Write an objective function and constraints for the problem in terms of these variables. What other condition must these variables satisfy?
Show that the wave equation does not, in general, satisfy a maximum principle - diffusion equation on the half-line with Robin boundary condition
Show that the base step is true - What is the inductive hypothesis and statement is true for every positive integer
Find the enthalpy of steam at 0.4 MPa and 0.7 dryness and determine the amount of heat required to convert 4Kg of water at t=38 degrees C into dry saturated steam at 1 MPa gauge pressure
(a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.
Describe the statistical analysis. (HINT: This should either be a correlation/regression depending on your research question). What is your IV(s)? What is your DV? What level of measurement are your IV(s) and DV? What is your alpha level?
question 1 partial derivatives and total differentials show your stepsfor f x y lnx2 y solve for its gradient vector
a company manufactures three models of a certain product. each model has to go through three different operations
Trapeze Investments is a venture capital firm that is currently evaluating six different investment opportunities. There is not sufficient capital to invest in all of these, but more than one will be selected.
What is the allocation of the budget amount the three media? What is the total audience reached?
Briefly explain why the Bernoulli process assumptions might not hold here - What is the largest value of n so that P(Y > 0) = 0.02?
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