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Consider a firm that produces a single output with a single input, labor, using production function...

Consider a firm that produces a single output with a single input, labor, using production function F(L)=100L−4(L^2), for L∈[0,12.5]. The input price is W=2.
1. Determine the firm’s cost function C(Q), that is, the lowest cost of producing Q units of output. State the associated labor choice for a given required output, L(Q). Consider only the range Q ∈ [0, 12.5] .
2. What is the firm’s marginal cost curve, MC(Q)?

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