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A company produces wooden chairs and tables. Each chair uses 10 lbs. of wood and takes...

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Advance Math

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.

  1. What is the formula to be maximized?
  2. Write down the set of linear inequalities associated with thesituation. Note: You should recognize that x andy can’t be negative.
  3. Graph the feasible region by hand.
  4. Find the coordinates of each vertex of the feasible region
  5. Use these vertices to find the associated maximum

Answer & Explanation Solved by verified expert
4.2 Ratings (709 Votes)
Letbe the number of chairs producedLetbe the number of tables producedThe profit on each chair The profit on each table Therefore the total profitonchairs andtables NowWood required for each chair    See Answer
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