E A famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3800 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1, 2, and 3 (in that order) into the answer box below, separated with commias.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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E A famine relief effort is being mounted and there are three types of food bundles that can be flown out during
each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg.
of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief
agency has 5200 kg. of flour, 3800 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide
for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each
type should the relief agency send on each flight in order to maximize the number of people being fed.
Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set.
Enter the number of bundles of types 1. 2, and 3 (in that order) into the answer box below, separated with
commias.
Transcribed Image Text:E A famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3800 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1. 2, and 3 (in that order) into the answer box below, separated with commias.
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