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June 17th, 2019, 04:05 AM   #1
Joined: Jun 2019
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Question Optimization task for college

Hello, I dont know if this belongs here, but i couldnt find a tab of linear programming

So I got an exercise which Ive been trying to solve for 2 days now

There is a farmer that produces salt. Form each litre of sea water 30 grams of original salt and 0,5 gram of special salt can be obtained. Original salt can then be grinded to fine salt, but only the mass of fine salt is only have of the mass of the original salt (the other half is ordinary salt). Original salt that is not grinded is sold as ordinary salt.
Farmer has 100.000 litres of salt water. He can produce as much as 2kg of special salt per hour, or can grind 40kg of original salt. In one hour he can also produce 24kg of original salt from the sea water. He works 36 hours per week.

What is the maximum profit he can get in one week?
Sorry for my bad english
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June 17th, 2019, 12:14 PM   #2
Joined: Jun 2019
From: AZ, Seattle, San Diego

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Originally Posted by johnny123 View Post
… What is the maximum profit he can get in one week? …
Hello johnny123. Did you forget to include the financial information? We can't determine profit without information about revenue and expense.

It's also not clear whether the farmer can produce more than one product simultaneously. In one hour, we're told that he can produce 2kg special salt OR grind 40kg original salt. I interpret that "or" to mean he can do one or the other, but not both at the same time. But then we're told that he can also produce 24kg original salt, in one hour. Does that mean he can produce original salt and special salt at the same time OR produce original salt and grind original salt at the same time? Alternatively, we could interpret "also" to mean that he has a choice of doing only one of three different things, each hour.

How do you interpret it?

Last edited by Otis; June 17th, 2019 at 12:16 PM.
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