Question: There are two production plants for producing widgets out of labor and capital. Plant 1's weekly production function is and plant 2's weekly production function

There are two production plants for producing widgets out of labor and capital. Plant 1's weekly production function is

and plant 2's weekly production function is

a. Do these technologies satisfy the Productive Inputs Principle?
b. Derive the MRTSLKfor each of the plants at input combination ( L, K). Do the plants have declining MRTSs?
c. Do the plants have increasing, decreasing, or constant returns to scale?

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