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.