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Mining scenario A mining company owns two mines, each of which produces three grades (high, medium, and low) of ore. The company has a contract
Mining scenario A mining company owns two mines, each of which produces three grades (high, medium, and low) of ore. The company has a contract to supply a smelting company with at least 12 tons of high-grade ore, at least 8 tons of medium-grade ore, and at least 24 tons of low-grade ore. Each hour of operation, mine 1 produces 6 tons of high-grade ore, 2 tons of medium-grade ore, and 4 tons of low-grade ore. Each hour of operation, mine 2 produces 2 tons of high-grade ore, 2 tons of medium-grade ore, and 12 tons of low-grade ore. It costs $200 per hour to operate mine 1 and $160 per hour to operate mine 2 . How many hours should each mine be operated so as to meet the contractual obligations at the lowest total operating cost? Use this sensitivity report to answer the questions below. If the cost per hour to operate Mine 2 was $220 : Would (1,3) remain optimal? What minimum Cost could be realized? That represents an increase in the second objective function coefficient of 60 , which is within the allowable increase of 40 . Thus, (1,3) will remain optimal. The minimum cost will be $860 That represents an increase in the first objective function coefficient of 60 , which is within the allowable increase of 93 . Thus, (1,3) will remain optimal. The minimum cost will be $860 That represents an increase in the second objective function coefficient of 60 , which is beyond the allowable increase of 40 . Thus, (1,3) will not remain optimal. However, we don't know (without solving the "new" model) what the minimum Cost would be That represents an increase in the first objective function coefficient of 60 , which is beyond the allowable increase of 93 . Thus, (1,3) will not remain optimal. However, we don't know (without solving the "new" model) what the minimum Cost would be None of the above
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