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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the...

Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.)

A boat company manufactures aluminum dinghies and rowboats. The hours of metal work and painting needed for each are shown in the table, together with the hours of skilled labor available for each task. How many of each kind of boat can the company manufacture?

(hours)            Dinghy                  Rowboat              Labor Available

Metal Work         2                              3                           120

Painting              2                              2                           100

(                   )    (labor for metal work)

(                   )    (labor for painting)

x ≥ 0, y ≥ 0

Sketch the feasible region.

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