# Julia-s-Food-Booth

Apr 30th, 2015
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Strayer University
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The reason why Julia is having a booth is to make some money. She wants to maximize her profit that she can get from selling the hotdogs, pizza, and barbeque sandwiches. The first thing to do is find the profit that Julia will make per Item. To find that per Item price, the cost of the Item will be subtracted from the selling price.

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Assignment #3 Case Problem Julia's Food Booth Pamela L. WilliamsQuantitative Methods MAT 540Strayer UniversityDr. Albert YinFebruary 20, 2013Complete the "Julia's Food Booth" case problem on page 109 of the text. Address each of the issues A - D according the instructions given. (A) Formulate and solve an L.P. model for this case. There are three products or variables in this problem that we must consider for purchase. X1 = number of pizza slices Julia should purchase X2 = number of hotdogs Julia should purchase X3 = number of barbecue sandwiches Julia should purchase. Subject to: \$0.75x1+ \$0.45x2 + \$0.90x3? \$1,50024x1 + 16x2 +25x3? 55.296in 2 of oven spaceX1 ? x2 + x3 (change to x1 + x2 + x3 ? 0 for constraint)X2/x3 ? 0Solution:Variable/ Status/ ValueX1 / Basic / 1250/X2 / Basic / 1250/X3 / NonBasic / 0 /Slack 1/ NonBasic / 0/Slack 2 / Basic / 5296.0/Slack 3 / NonBasic / 0/Slack 4 / Basic / 1250 /Optimal Value (z)/ / 2250 /The reason why Julia is having a booth is to make some money. She wants to maximize her profit that she can get from selling the hotdogs, pizza, and barbeque sandwiches. The first thing to do is find the profit that Julia will make per Item. To find that per Item price, the cost of the Item will be subtracted from the selling price. Pizza: Julia can buy a pizza that contains 8 slices for 6\$. That means each slice of pizza will cost her \$0.75. She plans to sell each piece for 1.50. \$1.50-\$0.75= \$0.75 profit

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