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3. A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor hours for assembling and 2 labor hours for finishing. A chair requires 2 labor hours for assembling and 1 labor hour for finishing. The maximum labor hours available per day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the number of tables and chairs that can be produced. The company makes a profit of $50 on each table and a profit of $15 on each chair. a) If the company makes 20 tables and 20 chairs per day, the daily profit will be $1,300. Are there other production schedules that will result in a daily profit of $1,300? How are these schedules related to the graph of the line 50 x +15 y = 1,300? b) Find a production schedule that will produce a daily profit greater than $1,300 and repeat part (A) for this schedule. c) Discuss methods for using lines like those in parts (a) and (b) to find the largest possible daily profit.

          3. A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor hours for assembling and 2 labor hours for finishing. A chair requires 2 labor hours for assembling and 1 labor hour for finishing. The maximum labor hours available per day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the number of tables and chairs that can be produced. The company makes a profit of $50 on each table and a profit of $15 on each chair.
a) If the company makes 20 tables and 20 chairs per day, the daily profit will be $1,300. Are there other production schedules that will result in a daily profit of $1,300? How are these schedules related to the graph of the line 50 x +15 y = 1,300?
b) Find a production schedule that will produce a daily profit greater than $1,300 and repeat part (A) for this schedule.
c) Discuss methods for using lines like those in parts (a) and (b) to find the largest possible daily profit.

3. A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor hours for assembling and 2 labor hours for finishing. A chair requires 2 labor hours for assembling and 1 labor hour for finishing. The maximum labor hours available per day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the number of tables and chairs that can be produced. The company makes a profit of 50 on each table and a profit of15 on each chair.
a) If the company makes 20 tables and 20 chairs per day, the daily profit will be 1,300. Are there other production schedules that will result in a daily profit of1,300? How are these schedules related to the graph of the line 50 x +15 y = 1,300?
b) Find a production schedule that will produce a daily profit greater than 1,300 and repeat part (A) for this schedule.
c) Discuss methods for using lines like those in parts (a) and (b) to find the largest possible daily profit.

Added by Alberto T.

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