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Help with Linear Programming using Excel

Cadis

New Member
Hello,

I am seeking help with an excel assignment that I have.
Here is the problem:

"A firm produces four products: A, B, C, and D. Each unit of product A requires two hours of milling, one hour of assembly, and $10 worth of in-process inventory. Each unit of B requires one hour of milling, one hour of assembly, and $5 worth of in-process inventory. Each unit of C requires 2.5 hours of milling, 2.5 hours of assembly, and $2 worth of in-process inventory. Finally, each unit of product D requires five hours of milling, no assembly, and $12 of in-process inventory.


The firm has 120 thousand hours of milling time and 160 thousand hours of assembly time available. In addition, not more than $1 million may be tied up in in-process inventory.


Each unit of product A returns a profit of $40; each unit of B returns a profit of $24; each unit of product C returns a profit of $36; and each unit of product D returns a profit of $23. Not more than 20,000 units of product A can be sold; not more than 16,000 units of product C can be sold; and any number of units of products B and D may be sold. However, at least 10,000 units of D must be produced and sold to satisfy a contract agreement."

I think I almost have the solution, but there must be something that I am overlooking because I am getting weird numbers after using the solver. I am pretty sure that the problem lies in how I set up the # of units sold, but I am not sure how to fix it.
Any help would be greatly appreciated.
 

Attachments

I get B=70,000 D=10,000
What is wrong with that solution?

It makes sense in that A returns a profit of $10/unit of Input
B returns $9.5/unit of Input
But when the constraints of Input are included you can make 50% more of B than A for the same inputs of 120,000 units of milling
 
Hi,

I appreciate the replies.

How would I go about solving this by using the excel solver add in?
I'm looking to get better at formatting the LP model, because thats what we're learning in class.

Thanks.
 
Hi ,

Can you open the file I uploaded ? I have put in the solver inputs.

I think it is more important to first formulate the problem so that a layman understands it ; the Solver add-in inputs can easily be configured once the problem has been setup correctly.

Narayan
 
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