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You manage a firm that has the production function q = 10L1/2K1/3. You can hire labor (L) at a wage of $9 per unit of

You manage a firm that has the production function q = 10L1/2K1/3. You can hire labor (L) at a wage of $9 per unit of labor and rent capital (K) at a rate of $12 per unit of capital. Your boss gives you a budget of $1200.

Write out budget constraint in terms of inputs:

What is your optimal amount of L and K? =

L =

K =

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