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A company produces wooden chairs and tables. Each chair uses 20 lbs. of wood and takes...

  1. A company produces wooden chairs and tables. Each chair uses 20 lbs. of wood and takes 10 hours to construct. Each table uses 30 lbs. of wood and takes 5 hours to construct. There are up to 300 lbs. of wood available and up to 110 labor hours available. If the profit on each chair is $6 and the profit on each table is 8$. We wish to maximize the profit. Let x be the number of chairs produced and y be the number of tables produced.
    1. What is the formula to be maximized?
    1. Write down the set of linear inequalities associated with the situation. Note: You should recognize that x and y can’t be negative.
    1. Graph the feasible region by hand.
    1. Find the coordinates of each vertex of the feasible region
    1. Use these vertices to find the associated maximum
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