Question: The production function for a company's product is P = 100L + 50K - L^2(read L square) - K^2 ((read K square), where P is

The production function for a company's product is P = 100L + 50K - L^2(read L square) - K^2 ((read K square), where P is the output that results from L units of labor and K units of capital. The unit costs of labor and capital are 6 and 3, respectively. If the company wants the total cost of inputs to be 30, determine the optimal number of units for the capital and labor and the greatest output possible subject to this budget constraint?

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