Question05

# Question05 - Now examine g >= 0.1875 Sometimes using the...

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No, it will not tell you. In trying to calculate the fraction of cooler space to allocate to hot dogs you get 0.30 - 0.200( 1.60) = -0.020 This is impossible. The largest amount of change in Gatorade that the analysis will support is the solution to 0.3 - Δ(1.6) >= 0 This is Δ <= 0.1875 (18.75%) This is from h (hot dogs). There are other inequalities to consider, such as 0.4 - Δ(0.8) >= 0 (ice) This one gives Δ <= 2 This is not as strict as Δ <= 0.1875 Let's use the Simplex Method Tool to verify. Add the restraint g >= 0.180 This gives Optimal Solution z = 4.6920 c = 0.4880 i = 0.2560 g = 0.1800 b = 0.0640 h = 0.0120 4.80 - 0.180( 0.60) = 4.6920 check 0.20 - 0.180(-1.60) = 0.4880 check 0.40 - 0.180( 0.80) = 0.2560 check 0.180 = 0.1800 check 0.10 - 0.180( 0.20) = 0.0650 check 0.30 - 0.180( 1.60) = 0.0120 check

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Unformatted text preview: Now examine g >= 0.1875 Sometimes using the exact value does not work and "<=" should actually be strictly "<" but let's see. Optimal Solution: z = 4.6875 c = 0.5000 i = 0.2500 g = 0.1875 b = 0.0625 h = 0.0000 4.80 - 0.1875(0.60) = 4.6875 check ... you can verify the others ... 0.30 - 0.1875(1.60) = 0.0000 check So it looks like in this case the "=" part DOES work. We know that g >= 0.19 is going too far, but it's easy to try Optimal Solution: z = 4.6700 c = 0.5000 i = 0.2500 g = 0.1900 b = 0.0600 h = 0.0000 4.80 - 0.19( 0.6) = 4.6860 does not check 0.20 - 0.19(-1.6) = 0.5040 does not check We only needed the first one reveal this would not work to confirm the suspicion this would not work since it will make h negative....
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## This note was uploaded on 02/25/2010 for the course ESI 6314 taught by Professor Vladimirlboginski during the Fall '09 term at University of Florida.

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Question05 - Now examine g >= 0.1875 Sometimes using the...

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