A financial advisor at Diehl Investments identified two companies that are likely candidates for a takeover in the near future. Eastern Cable is a leading manufacturer of flexible cable systems used in the construction industry and ComSwitch is a new firm specializing in digital switching systems. Eastern Cable is currently trading for $40 per share and Com-
Switch is currently trading for $25 per share. If the takeovers occur, the financial advisor estimates that the price of Eastern Cable will go to $55 per share and ComSwitch will go to $43 per share. At this point in time, the financial advisor identified ComSwitch as the higher risk alternative. Assume that a client who indicated a willingness to invest a maximum of $50,000 in the two companies wants to invest at least $15,000 in Eastern Cable and at least $10,000 in ComSwitch. Because of the higher risk associated with ComSwitch, the financial advisor recommends that at most $25,000 should be invested in ComSwitch.

a. Formulate a linear programming model that can be used to determine the number of
shares of Eastern Cable and the number of shares of ComSwitch that will meet the investment constraints and maximize the total return for the investment.
b. Graph the feasible region.
c. Determine the coordinates of each extreme point.
d. Find the optimal solution.

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Claims company processes insurance claims, their perm operators can process 16 claims/day and temp process 12/day and the average for the company is at least 450/day. They want to limit claims error to 25 per day total, and the perm generate .5 errors/day and temp generate 1.4 error per day. The perm operators are paid $465/da

1. solve the following equations and show work.
2. You are given the following system of linear equations:
x - y + 2z = 13
2x + xy - z = -6
-x + 3y + z = -7
a. Provide a coefficient matrix corresponding to the system of linear equations.
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Let = sup : , for each f in Define T: by
(T ( ))(t) =
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a) Show that is a bounded linear operator on .
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c) Suppose that g . Show that the integral equation

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Let us assume that the operators (Lx, Ly, Lz) = L which represent the components of orbital angular mom

Universal Claims Processors processes insurance claims for large national insurance companies. , Most claim processing is done by a large pool of computer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day, whereas a temporary operator can process 12 per day,

1) Let u=(2,3,0), and v=(-1,2,-2). Find
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b) ||u|| + || v ||
c) Find two vectors in R³ with norm 1 orthogonal to be both u and v
d) Find norm of vector u / || u ||
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3)
a) Find the standard matrix [T] for the linear tra

Please help with the following problems. Provide step by step calculations for each.
1) Show that this mapping is linear:
T: P5 -> P8 defined as Tp(t)=p(t+1)-p(t)+integral(t-1 to t) s^2 p(s) ds
2) Prove the following is true, or give a counterexample:
If l is a nonzero scalar linear function on linear space X (which may

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1.Universal Claims Processors processes insurance claims for large national insurance companies. , Most claim processing is done by a large pool of computer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day, whereas a temporary operator can process 12 per day

Please help with solving this problem in graphical analysis and formulate a linear programming model for the below:
A company produces two prducts that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assemoly line 2 has 42 available hours. Each prduct equires 10 hours of processing time on l