document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101695>Question 101695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am lost on how find the functions with the information given. Please help. The information given is;<BR>\n" );
document.write( "A small family bakery specializes in baking cheesecakes. The fixed cost of production is $245, the marginal cost per cheesecake is $5, and each cheesecake sells for $12. Assume that the cost function is linear.<BR>\n" );
document.write( "a. What is the cost function?<BR>\n" );
document.write( "b. What is the revenue function?<BR>\n" );
document.write( "c. What is the break-even point?\r<BR>\n" );
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document.write( "Thank you for your time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74183 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small family bakery specializes in baking cheesecakes. The fixed cost of production is $245, the marginal cost per cheesecake is $5, and each cheesecake sells for $12. Assume that the cost function is linear.<BR>\n" );
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document.write( "Let x = no. of cheesecakes made and sold<BR>\n" );
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document.write( "a. What is the cost function?<BR>\n" );
document.write( "The cost function will be the cost to make the cakes plus the fixed cost:<BR>\n" );
document.write( "C = 5x + 245<BR>\n" );
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document.write( "b. What is the revenue function?<BR>\n" );
document.write( "The Revenue is the total amt received from the sale of the cakes:<BR>\n" );
document.write( "R = 12x<BR>\n" );
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document.write( "c. What is the break-even point?<BR>\n" );
document.write( "Break-even point occurs when Cost = Revenue, solve for x,<BR>\n" );
document.write( "That will give you the number of cakes that must be sold to break even<BR>\n" );
document.write( "R = C<BR>\n" );
document.write( "12x = 5x + 245<BR>\n" );
document.write( "12x - 5x = 245<BR>\n" );
document.write( "7x = 245<BR>\n" );
document.write( "x = 245/7<BR>\n" );
document.write( "x = 35 cakes need to be sold to break even. (Less they would lose money, more they will make money)<BR>\n" );
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document.write( "you can check out solution by substituting 35 for x and see of cost and revenue are equal<BR>\n" );
document.write( "Revenue:<BR>\n" );
document.write( " 12*35 = $420<BR>\n" );
document.write( "and Cost:<BR>\n" );
document.write( "5*35  + 245 =<BR>\n" );
document.write( "175 + 245 = $420 also<BR>\n" );
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document.write( "Did this help you find your way? Any questions?  </SPAN>\n" );
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