A company produces wooden chairs and tables. Each chair uses 10lbs. of wood and takes 10 hours to construct. Each table uses 15lbs. of wood and takes 5 hours to construct. There are up to 150lbs. of wood available and up to 110 labor hours available. If theprofit on each chair is $3 and the profit on each table is 4$. Wewish to maximize the profit. Let x be the number of chairsproduced and y be the number of tables produced.
- What is the formula to be maximized?
- Write down the set of linear inequalities associated with thesituation. Note: You should recognize that x andy can’t be negative.
- Graph the feasible region by hand.
- Find the coordinates of each vertex of the feasible region
- Use these vertices to find the associated maximum
