document.write( "Question 1208741: A factory manufactures two types of gadgets, regular and premium. Each gadget requires the use of two operations, assembly and finishing, and there are at most 12 hours available for each operation. A regular gadget requires 1 hour of assembly and 3 hours of finishing, while a premium gadget needs 4 hours of assembly and 5 hour of finishing. Due to other restrictions, the company can make at most 100 gadgets a day. If a profit of $20 is realized for each regular gadget and $30 for a premium gadget, how many of each should be manufactured to maximize profit? \n" ); document.write( "

Algebra.Com's Answer #847175 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As I look at this problem, the condition seems strange to me.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "This restriction \"at most 100 gadgets per day\", actually, does not work, \r\n" );
document.write( "since it is overlayed by other restrictions on available time.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Even if suppose, that this restriction is a fictive essence, then the solution \r\n" );
document.write( "for the problem can be easily get MENTALLY.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Indeed, there is only three competitive cases:\r\n" );
document.write( "\r\n" );
document.write( "    (1) 4 regular, 0 premium gadget,    giving 4*20 = 80 dollars profit;\r\n" );
document.write( "\r\n" );
document.write( "    (2) 0 regular, 2 premium gadgets,   giving 2*30 = 60 dollars profit;\r\n" );
document.write( "\r\n" );
document.write( "    (3) 2 regular, 1 premium gadgets,   giving 2*20 + 30 = 70 dollars profit.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "My interior feeling is that the numbers in the problem are INCORRECT.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Last several days, I see several posts at the forum with incorrect input data.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My impression is that in the opposite end of the internet there is a person,
\n" ); document.write( "which specially/intently corrupts data in incoming posts.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

This my message is to the MANAGERS of this project.

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );