Document Summary
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 420 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day: a). Write a system of linear inequalities that indicates the appropriate restraints on x and y. Write a graphical description of the inequalities in part a. The company makes a profit of for each table and on each chair; find the daily profit for making 20 tables and 20 chairs: x represents the dining table. When we take the maximized hours into account. Finish 2x+y (less than or equal to) 120: when graphed. Then shade below the dotted points: 8x+2y= 400. 2x+y=120: 20 tables, 80 chairs (x, y)
