document.write( "Question 1185780: The director of MIS Center At a large company wants to do stuff consulting station with two shifting teams: Team A will compromise of 3 senior programmers and 3 system analyst and team B will consist 2 senior programmers and 5 system analysts. the director wants to use no more than 42 individuals.\r
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\n" ); document.write( "\n" ); document.write( "Determine the number of shifts each team has to render in order to minimize the cost.\r
\n" ); document.write( "\n" ); document.write( "•What is the Test ratio for table 2?
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Algebra.Com's Answer #849630 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The analysis in the post by @CPhill is either incomplete or incorrect.\r
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document.write( "If to accept interpretation of the problem as in the post by @CPhill,  \r\n" );
document.write( "then the problem is\r\n" );
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document.write( "    maximize 12800x + 8400y  under these constraints\r\n" );
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document.write( "    6x + 7y <= 42\r\n" );
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document.write( "    4x + 3y >= 48\r\n" );
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document.write( "    x >= 0,  y >= 0.\r\n" );
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document.write( "But the feasibility domain under these constraints is  .\r\n" );
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document.write( "Indeed, it is obvious that in positive domain for x and y\r\n" );
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document.write( "    4x + 3y < 6x + 7y.\r\n" );
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document.write( "So, if (x0,y0) is the point in the feasibility domain, then \r\n" );
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document.write( "    48 <= 4x0 + 3y0 < 6x0 + 7y0 <= 42,\r\n" );
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document.write( "and we arrive to the absurdist inequality  48 < 42.\r\n" );
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document.write( "This contradiction disproves the existence of solutions.\r\n" );
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document.write( "So, the answer for this analysis is that the given problem HAS NO solution.\r\n" );
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There is EMPTINESS at this point.

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