A furniture manufacturer makes TV tables and bookcases in the same workshop. Each item brings in a profit of $18. Each bookcase requires 2 hours of labor 3 units of teak wood. Each TV table requires 6 hours of labor and 1 unit of teak wood. Resources in the workshop are restricted to 6 units of teak wood a day and 12 hours of labor per day. The initial and final tableau are given below with x = the number of TV tables and y = the number of bookcases produced each day.?
?
/>(initial)(final)Write the dual problem to the above primal problem and give a short interpretation of the dual and its solution.
What will be an ideal response?
Dual problem: Minimize 6u +12v subject to 
Interpretation: The minimum profit the manufacturer would expect for this business is $54 per day. He should get u = $ 
= $4.50 profit per unit of wood and v = $ 
= $2.25 profit per hour of labor.
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