Amalgamated Furniture Company makes 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 assembly and 1 labor-hour for finishing. The maximum labor-hours available per day for assembling and finishing are 400 and 120, respectively. Production costs are $600 per table and $150 per chair. Let x represent number of tables and y represent number of chairs made per day. Identify the daily production constraint for finishing:
To identify the daily production constraint for finishing, we need to consider the labor-hours required for finishing each item (table and chair) and the maximum labor-hours available for finishing.
For a table, 2 labor-hours are required for finishing, and the maximum labor-hours available per day for finishing are 120.
For a chair, 1 labor-hour is required for finishing.
To determine the daily production constraint for finishing, we can set up an equation:
2x + y ≤ 120
This equation represents the total labor-hours required for finishing the tables and chairs, which should be less than or equal to the maximum labor-hours available for finishing.
Therefore, the daily production constraint for finishing is 2x + y ≤ 120.
To identify the daily production constraint for finishing, we need to determine the maximum number of labor-hours available for finishing in a day.
Given that a table requires 2 labor-hours for finishing and a chair requires 1 labor-hour for finishing, we can calculate the total labor-hours required for finishing the tables and chairs.
For tables: 2 labor-hours/table * x tables
For chairs: 1 labor-hour/chair * y chairs
Therefore, the total labor-hours required for finishing the tables and chairs is:
2x + y.
Since the maximum labor-hours available per day for finishing is 120, we can set the inequality:
2x + y ≤ 120
This equation represents the daily production constraint for finishing.