document.write( "Question 1073576: Hello!
\n" ); document.write( "I am sorry if this problem is really long. This is a midterm homework problem and we never actually covered this material in depth, so i am a bit worried. The homework is worth 50 points. I attempted part of it but I really need help. There are three sections. The first section I started as well as the second.Thank you for your help !\r
\n" ); document.write( "\n" ); document.write( "There are three parts to this assignment. \r
\n" ); document.write( "\n" ); document.write( "PART 1 \r
\n" ); document.write( "\n" ); document.write( "\"You and your friend have decided to make custom charm bracelets for a charity crafts fair.
\n" ); document.write( "You and your friend can make either Small bracelets that yield a profit of 10 dollars each, or Large bracelets that bring in 15 dollars of profit each. It takes 8 minutes to design Small bracelets but only 6 minutes to design the Large bracelets. It also takes 8 minutes to construct a Small bracelet but does take longer - 12 minutes - to construct a Large bracelet. You will be doing the Design work, but only have just 168 minutes to spend. Your friend will be doing the Construction work, but he has only 240 minutes to spend.\"\r
\n" ); document.write( "\n" ); document.write( "For this part of the assignment, create a table that summarizes the information above. Your table should list both the small and large bracelet, the time needed to design and to construct each, and the maximum amount of time that can be spent on each activity. Use the variable X to represent the Small bracelets and Y to represent the Large bracelets.\"\r
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\n" ); document.write( "\n" ); document.write( "For part one I started it but i am unsure if i categorized it correctly. I did it basically like thiS but in box form in a Word document. \r
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\n" ); document.write( "\n" ); document.write( "RESOURCES- NEEDED FOR A SMALL BRACELET (X)- FOR LARGE(Y)- AVAILABLE
\n" ); document.write( "DESIGN - 8MIN - 6 MIN - 168MIN
\n" ); document.write( "CONSTRUCT- 8MIN - 12 MIN - 140MIN\r
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\n" ); document.write( "\n" ); document.write( "PART 2 (20 PTS)\r
\n" ); document.write( "\n" ); document.write( "\"Using the example in part 1 above and using the same document you used to create your data table, perform the following steps, showing all your work including equations, calculations and graphs:\r
\n" ); document.write( "\n" ); document.write( "Identify the variables, the constraints, and write the inequalities that can be derived from the information above
\n" ); document.write( "Graph the set of feasible solutions
\n" ); document.write( "Identify the coordinates of all four corner points\"\r
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\n" ); document.write( "\n" ); document.write( "For this section I came up with this \r
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\n" ); document.write( "\n" ); document.write( "Define
\n" ); document.write( "X= # of small bracelets
\n" ); document.write( "Y= # of large bracelets
\n" ); document.write( "Four inequalities
\n" ); document.write( " x ≥ 0
\n" ); document.write( "y ≥ 0
\n" ); document.write( "8x +6y ≤ 168
\n" ); document.write( "8x +12y ≤ 240\r
\n" ); document.write( "\n" ); document.write( "Test the inequality with (1,1)
\n" ); document.write( "8(1) +6(1) ≤ 168 14 ≤ 168
\n" ); document.write( "8(1) +12(1) ≤ 240 20 ≤ 240\r
\n" ); document.write( "\n" ); document.write( "Corner points
\n" ); document.write( "(x, y)= (0,20),(0,0),(21,0),(12,12) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "P(x,y) = 10 x + 15y
\n" ); document.write( " P (0,0) = 0
\n" ); document.write( " P (0,20) = 300
\n" ); document.write( " P (21,0) = 210
\n" ); document.write( " P (12,12) = 300
\n" ); document.write( "Maximum profit is 300$\r
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\n" ); document.write( "\n" ); document.write( "PART 3 \r
\n" ); document.write( "\n" ); document.write( "\"In this part of the assignment you will use the information gathered in parts 1 and 2 to determine which combination of Small and Large bracelets will yield the greatest profits. Using the same document as in parts 1 and 2 above, perform the following steps:\r
\n" ); document.write( "\n" ); document.write( "-Write the Profit equation for this scenario
\n" ); document.write( "-Using the Profit equation, calculate the profit of using the sets of values -of X and Y calculated above. Show your results in tabular form
\n" ); document.write( "-Identify the maximum profit possible for the scenario stated here\r
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Algebra.Com's Answer #688402 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "To see more similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Solving minimax problems by the Linear Programming method \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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