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A company produces tables and chairs. Each table requires 12 hours of woodworking, 9 hours of painting, and 3 hours of packaging. Each chair requires 6 hours of woodworking, 8 hours of painting, and 5 hours of packaging. In every month, there are 1000 hours available for woodworking, 900 hours available for painting, and 500 hours available for packaging. Selling a table brings in RM100 of profit, whereas selling a chair brings in RM70 of profit.
a) Determine the monthly production rate (thus non-integral answers allowed) for the table and chair to generate maximum monthly profit.
b) Compute such maximum profit per month.
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