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A production process using two inputs, labor and capital, can be written as:
Q = 5LK MPK = 5L MPL = 5K
where Q represents output per day (tons). The unit costs of inputs are $150 for labor (L) and $1,000 for capital (K). Determine the least cost combination of L and K when output is produced at the rate of 1,000 tons per day. Determine the required outlay for 1,000 tons per day.
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