document.write( "Question 1110667: A dealer has 7600 pounds of peanuts, 5800 pounds of almonds, and 3000 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $8.44 per pound and consists of 60% peanuts, 30% almonds, and 10% cashews. The second mixture wholesales for $3.17 per pound and consists of 20% peanuts, 50% almonds, and 30% cashews. How many pounds of each mixture should be made to maximize revenue? Find the maximum revenue.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #725675 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let X and Y be the amounts (in pounds) of each mixture.\r\n" ); document.write( "\r\n" ); document.write( "The Revenue function is Z = 8.44*X + 3.17*Y.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The constraints are these inequalities:\r\n" ); document.write( "\r\n" ); document.write( "0.6X + 0.2Y <= 7600 (1) (peanuts)\r\n" ); document.write( "\r\n" ); document.write( "0.3X + 0.5Y <= 5800 (2) (almonds)\r\n" ); document.write( "\r\n" ); document.write( "0.1X + 0.3Y <= 3000 (3) (cashews)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You need to find the maximum of the objective function under these restrictions (1), (2), (3) and X >= 0, Y>= 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At this point, the formulation/(the setup) of the linear optimization problem is COMPLETED.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Further, you can apply the Linear programming method and solve the problem using a standard Geometry visualization approach.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "On how to do it, you can learn from the lesson\r \n" ); document.write( "\n" ); document.write( " - Solving minimax problems by the Linear Programming method \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |