Math homework help

[vin17]

Any help is greatly appreciated...

Edit: It is (geometric) linear programming

There are three 'nutrients': A, B and C

The minimum amount of units required of each are 160, 200 and 80 respectively.

There are two brands of products containing these nutrients...
Product Alpha costs $8/bag and contains 3 units of A, 5 of B and 1 of c.
Product Beta costs $6/bag and contains 2 units of A, B and C each.

In order to minimize costs while still maintaining the amount of nutrients, what combination of Alpha and Beta should be purchased (you do not need to solve it, only construct the math model ie. objective function and constraints).
Note: I have already done similar questions with the exception that there wasn't multiple products and prices involved.

[theben]

disclaimer--its been several years since i've done LP formulation. this may be wrong.

also, what major are you? please indulge my curiosity.

min: costs

let x1 = bags of alpha
x2= bags of beta

min 8 x1 + 6 x2

S.T.

A>=160
B>=200
c>=80

A = 3 x1 + 2 x2
B = 5 x1 + 2 x2
C = 1 x1 + 2 x2

all dec vars non neg.

apply simplex algorithm or plug that sucker into lingo and you are done

[lippy]

Okay, I'm trying to work through it. This is a very annoying question that shouldn't be hard.

[vin17]

[ QUOTE ]
also, what major are you? please indulge my curiosity.

[/ QUOTE ]
Commerce.

[Thythe]

[ QUOTE ]
disclaimer--its been several years since i've done LP formulation. this may be wrong.

also, what major are you? please indulge my curiosity.

min: costs

let x1 = bags of alpha
x2= bags of beta

min 8 x1 + 6 x2

S.T.

A>=160
B>=200
c>=80

A = 3 x1 + 2 x2
B = 5 x1 + 2 x2
C = 1 x1 + 2 x2

all dec vars non neg.

apply simplex algorithm or plug that sucker into lingo and you are done

[/ QUOTE ]

This is right, but just cut out the middle man and say
3 x1 + 2 x2 >= 160
5 x1 + 2 x2 >= 200
1 x1 + 2 x2 >= 80

Then you don't need A, B, or C.

[Velocity]

what is a commerce major exactly?

[silkyslim]

im drunk and dont own paper and pencil but shouldnt this be solved by a simple system of equations?

[grando]

[ QUOTE ]
what is a commerce major exactly?

[/ QUOTE ]

marketing/accounting/operations management/finance/general business/human resource management/I'm probably missing a couple

[vin17]

[ QUOTE ]
[ QUOTE ]
what is a commerce major exactly?

[/ QUOTE ]

marketing/accounting/operations management/finance/general business/human resource management/I'm probably missing a couple

[/ QUOTE ]
I'm in a Canadian University, so I don't hear the term 'major' that much - if at all, but anyways...I am currently an undergrad in a Bac. of Commerce program. The first and second years are mostly intro courses before specialization begins in third year.

FWIW, I would like to go into either accounting or finance.

[Scotty.]

[ QUOTE ]
[ QUOTE ]
[ QUOTE ]
what is a commerce major exactly?

[/ QUOTE ]

marketing/accounting/operations management/finance/general business/human resource management/I'm probably missing a couple

[/ QUOTE ]
I'm in a Canadian University, so I don't hear the term 'major' that much - if at all, but anyways...I am currently an undergrad in a Bac. of Commerce program. The first and second years are mostly intro courses before specialization begins in third year.

FWIW, I would like to go into either accounting or finance.

[/ QUOTE ]

You don't happen to be taking a UBC BComm do you?