SOLUTION: A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 12 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 11 labo

Question 1176640: A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 12 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 11 labor-hours for assembly and 1 labor-hours for finishing. The maximum labor hours available per day for assembly and finishing are 500 and 150, respectively. Write a system of linear inequalities that represents this situation.
Assembly:
Finishing:
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
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A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 12 labor-hours for assembly
and 3 labor-hours for finishing. A chair requires 11 labor-hours for assembly and 1 labor-hours for finishing.
The maximum labor hours available per day for assembly and finishing are 500 and 150, respectively.
Write a system of linear inequalities that represents this situation.
~~~~~~~~~~~~~

    Assembly:    12x + 11y <= 500  hours   (x = # of tables;  y = # of chaires)


    Finishing:    3x +   y <= 150  hours.


    Additional inequalities are  x >= 0,  y >= 0.

Solved and answered.

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