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In 2001, 400 seat Boeing 747s were priced at $200 million each, 300 seat Boeing 777s were priced at $160 million, and 200 passenger Airbus A321s were priced at $60 million. Suppose you were the purchasing manager of an airline company and had a $2100 million budget to purchase new aircraft to seat a total of 4500 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to purchase twice as many Boeing planes as Airbus planes. How much of each of the three planes (747, 777, and A321) should you order? (Please show all work)
a.) Identify the three variables.
b.) Set up the system of equations.
c.) Solve your system using the Gauss-Jordan elimination matrix method.
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
In a survey of 700 randomly selected workers, 16 percent got their jobs through newspaper ads. Consider hypothesis test that uses 0.05 significance level [95 percent confidence interval], test the claim that less than 20 percent of workers got thei..
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Real Life Scenarios- Systems of Linear Equations, Determine a simple real-life example scenario to solve systems of linear equations
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
Find the distance between two ships from the word problem and From a lighthouse, the lighthouse keeper sees two ships
Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
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