document.write( "Question 1086427: A nursery uses two brands of fertilizer for rose bushes. Brand A costs $3 per pound and provides 280 units of nutrients per pound. Brand B costs $4 per pound and provides 180 units of nutrients per pound. The nursery spends $100 or less for fertilizer and wants to provide at least 5200 units of nutrients. Because brand B contains a special nutrient that brand A does not, the nursery uses at least 4 pounds of brand B. How many pounds of each should the nursery use to minimize cost? \n" ); document.write( "
Algebra.Com's Answer #700649 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A nursery uses two brands of fertilizer for rose bushes. \n" ); document.write( "Brand A costs $3 per pound and provides 280 units of nutrients per pound. \n" ); document.write( "Brand B costs $4 per pound and provides 180 units of nutrients per pound. \n" ); document.write( "----------------------------------- \n" ); document.write( "The nursery spends $100 or less for fertilizer and wants to provide at least 5200 units of nutrients. \n" ); document.write( "Because brand B contains a special nutrient that brand A does not, the nursery uses at least 4 pounds of brand B. \n" ); document.write( "How many pounds of each should the nursery use to minimize cost? \n" ); document.write( "---------------------------- \n" ); document.write( "Cost Inequality:: 3A + 4B <= 100 \n" ); document.write( "Units Inequality: 280A + 180B >= 5200 \n" ); document.write( "Weight Inequality B >= 4 \n" ); document.write( "---------------------------------- \n" ); document.write( "Graph the inequalities; \n" ); document.write( "A <= -4B + 100 \n" ); document.write( "A >= -180B + 5200 \n" ); document.write( "B >= 4 \n" ); document.write( "------------------ \n" ); document.write( "Identify the appropriate vertices. \n" ); document.write( "Determine which coordinate pair minimizes cost. \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( " |