Prof. Roh is selling copies of the latest Justin Bieber CD. There are 3 suppliers (S1,S2,S3) that provide the plastic to make the CDs. Each sup-plier can supply the following amounts at the following prices:

Prof. Roh is selling copies of the latest Justin Bieber CD.

There are 3 suppliers (S1,S2,S3) that provide the plastic to make the CDs. Each sup-plier can supply the following amounts at the following prices:

Supplier max g available price/g (in cents)
S1 2,000 3
S2 4,000 4
S3 3,000 5

Prof. Roh has contracted out 2 plants (P1,P2) that make the CDs. There is a cost to ship each g of plastic from each supplier to the plants (in cents):

P1 P2
S1 2 3
S2 2 1
S3 1 2

Each plant has a maximum number of CDs they can produce and di erent costs:

P1 P2
Max CDs can produce 3,000 5,000
Cost (in cents per CD) 11 13

Each CD takes 4 g of plastic to make. The CDs are sold for 99 cents each. The CDs are so popular, they are selling o faster than they can make them.

Write a mathematical program to maximize the pro t for Prof. Roh.

You solution should include a clear explaination about your variables, your objective function, your constraints, and indicate whether the program is linear, integer, or non-linear. Feel free to include non-decision variables to make your solution easier to understand.

Note: Do NOT attempt to solve any of the mathematical programs you come up with

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