A small jewelry manufacturer hires a highly skilled gem cutter to work at least 6 hours per day. On the other hand, the polishing facilities can be used for at most 10 hours per day. The company specializes in three kinds of semiprecious gemstones, J, K, and L. Relevant cutting, polishing, and cost requirements are listed in the table. How many gemstones of each type should be processed each day to minimize the cost of the finished stones? What is the minimum cost?

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Cutting Polishing Cost per stone J 1 hr 2 hr $30 K hr 1 1 hr $30 L 1 hr 2 hr $10