document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140520>Question 1140520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coffee company currently charges $2.40 per bag and sells 4,000 bags per week.  The company plans to decrease the price per bag.  Past experience indicates that each $0.10 price decrease raises weekly sales by 400 bags.How much should be charged per bag in order to attain the maximum revenue </SPAN>\n" );
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document.write( "Suppose the company decreases the price by $0.10 x times from the current cost of $2.40; the number of bags sold will increase by 400 x times from the current 4000.<br><BR>\n" );
document.write( "Then the cost per bag will be $2.40 minus $0.10 x times; the number of bags sold will be 4000 plus 400 x times.<br><BR>\n" );
document.write( "The total revenue is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.40-.10x%29%284000%2B400x%29 ALIGN=MIDDLE  ALT=\"%282.40-.10x%29%284000%2B400x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use any of a number of methods to find the maximum revenue.<br><BR>\n" );
document.write( "Inspection shows the expression for total revenue will be a quadratic with a negative leading coefficient, so there will be a maximum value.<br><BR>\n" );
document.write( "Use algebraic methods for finding the maximum value of a quadratic function;<BR>\n" );
document.write( "or use calculus;<BR>\n" );
document.write( "or graph the revenue function on a graphing calculator.... </SPAN>\n" );
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