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A market research firm has been retained to conduct focus group interviews for a real estate company. Plans are made to classify participants to age: over 45 or 45 and under and as to whether or not they have recently bought and/or sold a house (within the last two years). Specific guidelines have been developed:
• At least 100 people must be selected• At least 75% of the participants must have bought or sold a house recently• Of those who have not bought or sold recently, at least 40% must be over 45 years of age• No more than 40% of participants should be 45 or under
There are preliminary screenings with associated costs. The cost for each participant begins at $10. Additional contact with those over 45 raises the cost by $12. Additional time with the recent buyers and sellers adds $7 to the cost of including those participants. Formulate a linear integer programming model to determine the amount of and type of participants that minimizes total cost. Use integer programming to establish whole numbers for the solution variables.
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
Important information about Probability, Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
Two fires towers are 30 kilometers apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14 N and W 34 N. Find the distance d of the fire from the line segment AB.
Find the mean and variance of theses draws
Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent.
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form, the slope-intercept form or the standard form line.
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Sketch the Fourier series of f(x) on the given interval - Sketch the Fourier series
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Find the mean score
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