Two woodworkers, Tom and Carlos, earn a profit of $95 for making a table and $68 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 Illustration.
TableChairTime availableProfit (dollars)9568 Tom's time (hours)2342Carlos' time (hours)6242?
A. no tables and 21 chairs: $1,995
B. 12 tables and 3 chairs: $1,344
C. 13 tables and 2chairs: $1,344
D. 3 tables and 12 chairs: $1,101
E. none of these
Answer: D
Mathematics
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