document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181204>Question 1181204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to solve this problem and unfortunately, I am self-teaching myself so I don't have a lot of direction or advice on how to figure this out. Any tips would be great, thank you!! \r<BR>\n" );
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document.write( "[PROBLEM]<BR>\n" );
document.write( "Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7200 per month. Materials and labor for each helmet of this model are $50, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.)\r<BR>\n" );
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document.write( "(a) For this helmet, write the function for monthly total costs C(x).<BR>\n" );
document.write( "C(x) = \r<BR>\n" );
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document.write( "(b) Write the function for total revenue R(x).<BR>\n" );
document.write( "R(x) = \r<BR>\n" );
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document.write( "(c) Write the function for profit P(x).<BR>\n" );
document.write( "P(x) = <BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "(d) Find C(200).<BR>\n" );
document.write( "C(200) = \r<BR>\n" );
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document.write( "Interpret C(200).<BR>\n" );
document.write( "For every additional helmet produced the cost increases by this much.<BR>\n" );
document.write( "This is the cost (in dollars) of producing 200 helmets.    <BR>\n" );
document.write( "When this many helmets are produced the cost is $200.<BR>\n" );
document.write( "For each $1 increase in cost this many more helmets can be produced.<BR>\n" );
document.write( "Correct: Your answer is correct.\r<BR>\n" );
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document.write( "Find R(200).<BR>\n" );
document.write( "R(200) = \r<BR>\n" );
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document.write( "Interpret R(200).<BR>\n" );
document.write( "For every additional helmet produced the revenue generated increases by this much.<BR>\n" );
document.write( "This is the revenue (in dollars) generated from the sale of 200 helmets.    <BR>\n" );
document.write( "For each $1 increase in revenue this many more helmets can be produced.<BR>\n" );
document.write( "When this many helmets are produced the revenue generated is $200.<BR>\n" );
document.write( "Incorrect: Your answer is incorrect.\r<BR>\n" );
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document.write( "Find P(200).<BR>\n" );
document.write( "P(200) = \r<BR>\n" );
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document.write( "Interpret P(200).<BR>\n" );
document.write( "This is the profit (in dollars) when 200 helmets are sold, but since it is negative it means that the company loses money when 200 helmets are sold.<BR>\n" );
document.write( "For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.    <BR>\n" );
document.write( "For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.<BR>\n" );
document.write( "This is the profit (in dollars) when 200 helmets are sold, and since it is positive it means that the company makes money when 200 helmets are sold.\r<BR>\n" );
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document.write( "(e) Find C(300).<BR>\n" );
document.write( "C(300) = \r<BR>\n" );
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document.write( "Interpret C(300).<BR>\n" );
document.write( "When this many helmets are produced the cost is $300.<BR>\n" );
document.write( "For each $1 increase in cost this many more helmets can be produced.    <BR>\n" );
document.write( "This is the cost (in dollars) of producing 300 helmets.<BR>\n" );
document.write( "For every additional helmet produced the cost increases by this much.\r<BR>\n" );
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document.write( "Find R(300).<BR>\n" );
document.write( "R(300) = \r<BR>\n" );
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document.write( "Interpret R(300).<BR>\n" );
document.write( "This is the revenue (in dollars) generated from the sale of 300 helmets.<BR>\n" );
document.write( "When this many helmets are produced the revenue generated is $300.    <BR>\n" );
document.write( "For every additional helmet produced the revenue generated increases by this much.<BR>\n" );
document.write( "For each $1 increase in revenue this many more helmets can be produced.\r<BR>\n" );
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document.write( "Find P(300).<BR>\n" );
document.write( "P(300) = \r<BR>\n" );
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document.write( "Interpret P(300).<BR>\n" );
document.write( "This is the profit (in dollars) when 300 helmets are sold, but since it is negative it means that the company loses money when 300 helmets are sold.<BR>\n" );
document.write( "For each additional helmet sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many helmets.    <BR>\n" );
document.write( "This is the profit (in dollars) when 300 helmets are sold, and since it is positive it means that the company makes money when 300 helmets are sold.<BR>\n" );
document.write( "For each additional helmet sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of helmets sold in order to make a profit.\r<BR>\n" );
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document.write( "(f) Find the marginal profit <BR>\n" );
document.write( "MP.\r<BR>\n" );
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document.write( "MP = \r<BR>\n" );
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document.write( "Write a sentence that explains its meaning.<BR>\n" );
document.write( "When costs are decreased by this much the profit is increased by $1.<BR>\n" );
document.write( "When revenue is increased by this much the profit is increased by $1.    <BR>\n" );
document.write( "Each additional helmet sold increases the profit by this many dollars.<BR>\n" );
document.write( "For each $1 increase in profit this many more helmets can be produced. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811092 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "What you call &nbsp;\"self-teaching\", &nbsp;is not self-teaching, &nbsp;at all.\r<BR>\n" );
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document.write( "I do not see any documented signs of self-teaching in your post.\r<BR>\n" );
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document.write( "What I see &nbsp;INSTEAD &nbsp;in your post, &nbsp;is your strong wish &nbsp;<U>to do nothing of your job</U> &nbsp;and &nbsp;<U>to re-load it entirely \r<BR>\n" );
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document.write( "to the shoulders of tutors</U>, &nbsp;using their work for free.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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