# How to solve this cost minimization problem?

The production function for a company's product is P(L, K) = 60L²ᐟ³K¹ᐟ³, 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 $64 and $108, respectively. If the company decides to produce 2,160 units, find the number of labor and capital inputs...
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The production function for a company's product is P(L, K) = 60L²ᐟ³K¹ᐟ³, 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 $64 and $108, respectively. If the company decides to produce 2,160 units, find the number of labor and capital inputs that minimize the total cost.

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