Pete's Plastics manufactures plastic at plants in Miami, St$.$ Louis, and Cleveland. The company needs to ship plastic to customers in Pittsburgh, Atlanta, and Chicago. It wants to minimize the cost of shipping the plastic from its plants to its customers. The data for the problem are summarized in the following table:

Distance from Plants to Customers

Plant Pittsburgh Atlanta Chicago Supply $($tons$)$

Miami $1,2007001,30050$

St$.$ Louis $70055030060$

Cleveland $12567535040$

Demand $($tons$)304020$

Formulate the LP for this problem. $($Let

Xij

$=$ tons shipped from plant i to customer j $($i and j $=1,2,3).)$

MIN:

Incorrect: Your answer is incorrect.

Subject to:

plant $1$ supply

Incorrect: Your answer is incorrect.

plant $2$ supply

Incorrect: Your answer is incorrect.

plant $3$ supply

Incorrect: Your answer is incorrect.

customer $1$ demand

Incorrect: Your answer is incorrect.

customer $2$ demand

Incorrect: Your answer is incorrect.

customer $3$ demand

Incorrect: Your answer is incorrect.

Xij $>=0$