Two woodworkers, Tom and Carlos, earn a profit of $85 for making a table and $70 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, how many tables and how many chairs should they make each week to maximize their income? The information is summarized in the table below.
TableChairTime availableProfit (dollars)8570 Tom's time (hours)2342Carlos' time (hours)6242?
Please enter your answer as three numbers in the following order: number of tables, number of chairs, maximum income. Separate the three numbers with commas.
What will be an ideal response?
Mathematics
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