# Math Help - Linear Programming Constraints

1. ## Linear Programming Constraints

Hey guys, Just wondering if someone could give me a hand with this. I'm unable to work out the constraints in the problem. Anyone have an idea how to proceed? Cheers

The transport authority in a major city has promoted the use of buses and trains to those who will attend sporting events at a new stadium complex built for a world championship. While this is desirable to avoid traffic problems, it also offers the transport authority an opportunity to gain revenue from public transport. A maximum of 170,000 people are expected to arrive at the stadium complex in any one day, but at least 36,000 will use private transport. The number of buses that can arrive in one hour is 60, each with a capacity of 70 people. The number of trains that can arrive per hour is 20, each carrying up to 500 people.
Buses and trains arrive at the stadium complex for 10 hours per day. The number of people travelling by bus is at least 25%% of the number coming by train. Bus tickets cost $6 and train tickets cost$4 per person. The transport authority wants to maximise revenue.

(i) Set up the object function and all constraints for this problem clearly identifying the variables used.

2. ## Re: Linear Programming Constraints

Have you at least given a symbol to each variable, stated what the variables represent, and gotten the objective function?

3. ## Re: Linear Programming Constraints

No for some reason im struggling to decipher the required info from all this text. Thats just what im after, the objective function and the constraints but cannot seem to figure it out. Any help would be greatly appreciated.

4. ## Re: Linear Programming Constraints

So you are unable even to assign letters to each quantity? Why is that? Have you ever taken a basic algebra course?

5. ## Re: Linear Programming Constraints

Im obviously able to assign letters to each variable.. Its mainly the constraints throwing me..

6. ## Re: Linear Programming Constraints

Hey guys, any help would really be appreciated. Im unable to understand exactly what they are after. This is from a previous exam which i do not have the answers to. Thanks.

8. ## Re: Linear Programming Constraints

so.. x= number of trains , y= number buses

36000<70y+500x<170000 (<or=)
y<600
x<200
y>0.25x

Dont think these are right to be honest..

bump