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小 發表於 2016-3-23 04:51 PM (第 2949 天) 顯示全部帖子
3條linear programming 唔識做
1. A bus company has to send 240 students to a barbecue site. There are now 8 drivers, 4 mini-buses which can carry 16 people each, and 6 coaches which can carry 52 people each available. If x mini-buses and y coaches are used, write down all the constraints about x and y.
2. A farmer raises x pigs and y cows under the following constraints.
- The total number of pigs and cows should be less than 10.
- The number of cows should not be more than twice the number of pigs
Given the constraints are
x+y<10
y ≤ 2x
x and y are non-negative integers
If the profit of the selling a cow is 3 times that of selling a pig, how many livestocks of each type should the farmer raise to obtain the maximum profit?
3. A merchants buys 50 kg of grade A tea, 180kg of grade B tea and110 kg of grade C tea to prepare two tea mixtures P and Q. Mixture P is prepared by mixing grade B tea and grade C tea in the ratio of 3:1. Mixture Q is prepared by mixing grade A, grade B and grade C tea in the ratio of 1:2:2. If the merchant prepares x kg of mixture P and y kg of mixture Q, write down all the constraints about x and y.
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