In doing linear programming applications, I'm having trouble determining the constraints for two types of problems. Here are two problems :
1. An oil company supplies two distributors. One distributor needs at least 3000 barrels of oil, and the other distributor needs at least 5000 barrels of oil. The oil company can send out at most 10,000 barrels of oil.
The constraints for this problem are: x is greater than or equal to 3000, y is greater than or equal to 5000, and x + y is less than or equal to 10,000.
2. A candidate cannot afford to spend no more than $8500 on radio and tv advertising. Each radio spot costs $150, and each tv spot costs $750.
The constraint for this problem is: 150x + 750y is less than or equal to 8500
What is the difference in these two problems that would tell me I need three constraints for problem number one but only one constraint for problem two? In other words, why isn't there just one constraint for problem number one that looks like this: 3000x + 5000y is less than or equal to 10,000 ? Any advice is appreciated !
1. An oil company supplies two distributors. One distributor needs at least 3000 barrels of oil, and the other distributor needs at least 5000 barrels of oil. The oil company can send out at most 10,000 barrels of oil.
The constraints for this problem are: x is greater than or equal to 3000, y is greater than or equal to 5000, and x + y is less than or equal to 10,000.
2. A candidate cannot afford to spend no more than $8500 on radio and tv advertising. Each radio spot costs $150, and each tv spot costs $750.
The constraint for this problem is: 150x + 750y is less than or equal to 8500
What is the difference in these two problems that would tell me I need three constraints for problem number one but only one constraint for problem two? In other words, why isn't there just one constraint for problem number one that looks like this: 3000x + 5000y is less than or equal to 10,000 ? Any advice is appreciated !
