document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188342>Question 1188342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me I really need this thank you <BR>\n" );
document.write( "Answer the given problem.<BR>\n" );
document.write( "1. It costs a bakery Php 15 to make a loaf of bread and Php 30 to make a pineapple pie. Production costs on these items cannot exceed Php 300. There must at least be 5 of these items.<BR>\n" );
document.write( "a. Write a system of inequalities that shows the various combinations the bakery can produce these<BR>\n" );
document.write( "two items. (Let x be the number of loaf bread and y be the number of pineapple pie.)<BR>\n" );
document.write( "b. Graph.<BR>\n" );
document.write( "c. Write 3 possible combinations of loaves of bread and pineapple pies. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819404 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=819404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of loaves of bread.<BR>\n" );
document.write( "let y = the number of pineapple pies.\r<BR>\n" );
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document.write( "the cost is equal to 15x + 30y.\r<BR>\n" );
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document.write( "the cost cannot exceed 300.\r<BR>\n" );
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document.write( "the inequality for that is 15x + 30y <= 300.\r<BR>\n" );
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document.write( "there must be at least 5 items.\r<BR>\n" );
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document.write( "the inequality for that is x + y >= 5.\r<BR>\n" );
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document.write( "your constraint inequalities are:\r<BR>\n" );
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document.write( "x + y >= 5<BR>\n" );
document.write( "15x + 30y <= 300\r<BR>\n" );
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document.write( "using the desmos.com calculator, you would graph the opposite of these inequalities.\r<BR>\n" );
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document.write( "the area on the graph that is not shaded is your region of feasibility.\r<BR>\n" );
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document.write( "any coordinate point in the feasible region satisfies the requirements of the problem.\r<BR>\n" );
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document.write( "two other inequalities that need to be satisfied are x >= 0 and y >= 0 since the number of each can't be negative.\r<BR>\n" );
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document.write( "your constraint inequalities are:\r<BR>\n" );
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document.write( "x + y >= 5<BR>\n" );
document.write( "15x + 30y <= 300<BR>\n" );
document.write( "x >= 0<BR>\n" );
document.write( "y >= 0\r<BR>\n" );
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document.write( "you graph the opposite of these inequalities.\r<BR>\n" );
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document.write( "here's what the graph looks like.\r<BR>\n" );
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document.write( "i chose 3 points in the feasible region.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "(3,7)<BR>\n" );
document.write( "(5,4)<BR>\n" );
document.write( "10,2)\r<BR>\n" );
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document.write( "each of those points will satisfy every one of the constraint inequalities because they are in the region of feasibility.\r<BR>\n" );
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document.write( "algebraically, the constraints they must satisfy are:\r<BR>\n" );
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document.write( "the minimum value of x and y is 0.\r<BR>\n" );
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document.write( "the maximum value of x and y is defined by 15x + 30y <= 300.\r<BR>\n" );
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document.write( "when x = 0, 15x + 30y <= 300 becomes 30y <= 300 which results in y <= 10.<BR>\n" );
document.write( "when y = 0, 15x + 30y <= 300 becomes 15x <= 300 which results in x <= 20.\r<BR>\n" );
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document.write( "your requirements are that x and y must each be greater than or equal to 0 and x must be less than or equal to 20 and y must be less than or equal to 10.\r<BR>\n" );
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document.write( "all these points satisfy those requirements.\r<BR>\n" );
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document.write( "the point (3,7) has 0 <= x <= 20 and 0 <= y <= 10.<BR>\n" );
document.write( "the point (5,4) has 0 <= x <= 20 and 0 <= y <= 10.<BR>\n" );
document.write( "the point (10,2) has 0 <= x <= 20 and 0 <= y <= 10.\r<BR>\n" );
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document.write( "on the graph, they are all in the feasible region, which is the unshaded area of the graph.\r<BR>\n" );
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document.write( "the graphing calculator used can be found at <a  rel=nofollow HREF= \"https://www.desmos.com/calculator\" target = \"_blank\">https://www.desmos.com/calculator</a>\r<BR>\n" );
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document.write( "as an example:\r<BR>\n" );
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document.write( "when the point is (3,7), .....\r<BR>\n" );
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document.write( "x + y >= 5 becomes  3 + 7 >= 5 which becomes 10 >= 5 which is true.\r<BR>\n" );
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document.write( "15x + 30y <= 300 becomes 15 * 3 + 30 * 7 <= 300 which becomes 45 + 210 <= 300 which becomes 255 <= 300 which is also true.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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