A furniture company manufacturers desks and chairs

A furniture company manufacturers desks and chairs. Each desk uses 4 units of wood and each chair uses 3 units of wood. A desk contributes $400 to profit, and a chair contributes $250. Marketing restrictions require that the the number of chairs produced be at least twice the number of desks produced. There are 2000 units of wood available. Use Solver to maximize the company’s profit. Use SolverTable to see what happens to the decision variables and the total profit when the availability of wood varies from 1000 to 3000 in 100-unit increments. Based on your findings, how much would the company be willing to pay for each extra unit of wood over its current 2000 units. How much profit would the company lose if it lost any of its current 2000 units.

 

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A furniture company manufacturers desks and chairs
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Manufacturing desks and chairs    
       
Inputs      
  Desks Chairs  
Unit margins $400 $250  
Wood usage per unit  4 3  
       
Decisions      
  Desks Chairs  
Units produced      
       
Constraint on wood      
  Wood used   Wood available
       
       
Constraint on chairs      
  Chairs produced Chairs required
       
       
Objective to maximize      
Profit      

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