document.write( "Question 426901: A little help please!?\r
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document.write( "Snack mix is made with peanuts and M&M's and must make at least 100 pounds to be packaged and sold. The mixture must contain at least 40 pounds of peanuts and must contain at least 20 pounds of M&M's. Peanuts cost $4 per pound and M&M's cost $3 per pound. How many pounds of peanuts and how many pounds of M&M's would minimize the total cost of the snack mix?\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #296871 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Snack mix is made with peanuts and M&M's and must make at least 100 pounds to be packaged and sold. \n" ); document.write( "-------------------- \n" ); document.write( "The mixture must contain at least 40 pounds of peanuts and must contain at least 20 pounds of M&M's. \n" ); document.write( "-------------------- \n" ); document.write( "Peanuts cost $4 per pound and M&M's cost $3 per pound. \n" ); document.write( "------------------------- \n" ); document.write( "How many pounds of peanuts and how many pounds of M&M's would minimize the total cost of the snack mix? \n" ); document.write( "--------- \n" ); document.write( "m >= 20 \n" ); document.write( "p >= 40 \n" ); document.write( "m+p >=100 \n" ); document.write( "Cost = 3m + 4p \n" ); document.write( "---- \n" ); document.write( "with (20,80) cost = 3*20 + 4*80 = 60 + 320 = 380 dollars \n" ); document.write( "with (60,40) cost = 3*60 + 4*40 = 180 + 160 = 340 dollars \n" ); document.write( "---- \n" ); document.write( "Minimum cost comes with 60 lbs of M&M and 40 lbs of peanuts. \n" ); document.write( "================================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |