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Let's investigate a slight variation of the problem we discussed last week. Now suppose that the constraints associated with our problem remain the same. That is, suppose that Ryan Arts manufactures two types of picture frames--let's call them typeX and typeY. Each typeX frame requires 2 hours of labor and 1 unit of material to make, and each typeY frame requires 1 hour of labor and 2 units of material to make. During the upcoming week the company has 4000 hours of labor and 5000 units of material available. However, now suppose that the profit margins for the two types of frames are changed. Let's assume that the profit margin for typeX frames is still $2.00 per frame, but instead of the profit margin for the typeY frames being $3.00, suppose that it increases to $6.00 per typeY frame. In this case, what is the optimal mix of frames that Ryan should produce, and what is the profit associated with this mix?
find the work done in moving an object through the force field F=xi+y^1/2j along the curve y=x^3/2 from (0,0) to (4,8)
If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t minutes.
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
A ship travels 200km west from port and then 240km due south before it is disabled. Illustrate this in a vector diagram. Usa trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
how to verify a process is gaussian process mathematically.
In the World Series, one National League team and one American League team compete for the title, which is awarded to the first team to win four games. In how many different ways can can the series be completed?
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.
where t is the number of years since 2004. The population of Mexico in 2008 was 109,955,400. What percentage of the Mexican population used the Internet in 2008?
Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 6 seconds later?
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
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