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Question: Write the Linear Programming Formulation for the following problem

A furniture company is producing two types of furniture. Product A requires 8 board feet of wood and 2 lbs of wicker. Product B requires 6 board feet of wood and 6 lbs of wicker. There are 2000 board feet of wood available for product and 1000 lbs of wicker. Materials and labor costs for Product A amount to $35 and for Product B $46. Both products are sold to a retailer in a nearby city. Product A is sold for $100 each and Product B is sold for $150 each.

Formulate the LP model to determine the best mix of product A and B to be produced in order to maximize profit.

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