2.3. INDUSTRIAL OPTIMIZATION: SHIPPING TACONITE 71 Your first table should keep
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2.3. INDUSTRIAL OPTIMIZATION: SHIPPING TACONITE 71 Your first table should keep our standard values for Au, L, AP, and compute V based on r using Poiseuille's Law. The r should be computed based upon the percent blockage, from 0% up to 50%, in 2% increments. The first column of the table should be the percent blockage, the second column should be the blood flow rate or V Your second table should keep our standard values for u. L, and V Again, ther should be computed based upon the percent blockage, from 0% up to 50%, in 2% increments. This time, you will compute the AP required to achieve the flow rate of 100 cc/minute given the blockage (the V given the AP), using Poiseuille's Law. The first column of the table should be the percent blockage, the second column should be the AP. The third column should represent AP as the "percent of normal In other words, 3/2 the normal AP should be reported as 150% The third table should keep our standard values for Au, L, and AP. The first column should be the "percent normal flow" from 100% down to 2 5%. teps of 3%. The second column should in S be the flow rate, in cubic centimeters per second. identified by that percentage. The third column should be the radius implied by this as computed by Poiseuille's Law. The fourth column should be the percent blockage. (In other words, 0.15 cm radius is a 50% blocka because 0.15/0.3 0.5.) You can check your work by plugging into the original equation, but you might also find it useful to compare your first table to the following, which is given in increments of 6 0 blockage implies 99.9617636500122 cc/minute 6 blockage implies 78.0450430095, 128 cc/minute 12 blockage implies 59.946605838329 cc/minute 0 18 blockage implies 45.1948885141475 cc/minute 24 blockage implies 33.3494195216211 cc/minute 30 blockage implies 24.0008194523679 cc/minute 36 blockage implies 16.7708010049720 cc/minute 42 blockage implies 11.3121689849831 cc/minute 48 blockage implies 7.30882030491648 cc/minute 54 blockage implies 4.47574398425329 cc/minute Industrial optimization: Shipping Taconite 2.3 In this project, you will solve a very simple but realistic shipping-route problem, using Linear Programming. This project assumes that you have read Section 4.21 on Page 187, about how to do linear programming in Sage In particular, a mining conglomerate has seven mines around Minnesota and Wisconsin, and they have shipping facilities at Two Harbors, Green Bay, Minneapolis, plus a shipping complex at the twin ports of Duluth, MNExplanation / Answer
Since it is a very practical problem, it will definitely have many intermediate collection points, have several dozen mines and have limited capacities on all the roads between these points. Therefore it will be very simple to think of the problem with 30 mines, 12 intermediate collection sites, 5 ports for the 360 + 60 routes. As we can see each route has a cost and a capacity limit. And this capacity limit is an inequality itself. Thus you can solve such problem easily.
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