document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198757>Question 1198757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company makes two types of​ biscuits: Jumbo and Regular. The oven can cook at most  400 biscuits per day. Each jumbo biscuit requires 2 oz of​ flour, each regular biscuit requires 1 oz of​ flour, and there is  600 oz of flour available. The income from each jumbo biscuit is ​$0.07 and from each regular biscuit is ​$0.12 . How many of each size biscuit should be made to maximize​ income? What is the maximum​ income? <BR>\n" );
document.write( "The company should make how many jumbo and how many  regular biscuits. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832394 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of jumbo biscuits<BR>\n" );
document.write( "y = number of regular biscuits\r<BR>\n" );
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document.write( "your constraint inequalities are:<BR>\n" );
document.write( "x + y <= 400<BR>\n" );
document.write( "2x + y <= 600\r<BR>\n" );
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document.write( "your objective function is:\r<BR>\n" );
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document.write( "income = .07x + .12y\r<BR>\n" );
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document.write( "x + y <= 400 says that the total number of biscuits has to be less than or equal to 400.\r<BR>\n" );
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document.write( "2x + y <= 600 says that the total amount of flour has to be less than 600 ounces.<BR>\n" );
document.write( "there are 2 ounces of flour for each jumbo biscuit and 1 ounce of flour for each regular biscuit.\r<BR>\n" );
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document.write( "income = .07x + .12y says that income = 7 cents for each jumbo biscuit and 12 cents for each regular biscuit.\r<BR>\n" );
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document.write( "using the desmos.com/calculator, you would graph the opposite of the inequalities.<BR>\n" );
document.write( "the area of the graph that is not shaded is your region of feasibility.<BR>\n" );
document.write( "the region of feasibility includes the lines of the inequalities that border it.<BR>\n" );
document.write( "the corner points of the region of feasibility is where the maximum income will be.\r<BR>\n" );
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document.write( "here is what the graph looks like:\r<BR>\n" );
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document.write( "the corner points of the region of feasibility are:<BR>\n" );
document.write( "(0,400)<BR>\n" );
document.write( "(200,200)<BR>\n" );
document.write( "(300,0)\r<BR>\n" );
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document.write( "you evaluate the objective function at each corner point to find the maximum income.\r<BR>\n" );
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document.write( "at (0,400), the income is 0 * .07 + 400 * .12 = 48<BR>\n" );
document.write( "at (200,200), the income is 200 * .07 + 200 * .12 = 38<BR>\n" );
document.write( "at (300,0), the income is 300 * .07 = 21\r<BR>\n" );
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document.write( "the maximum income is at the point (0,400)<BR>\n" );
document.write( "that would require no large biscuits and 400 regular biscuits.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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