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A firm produces good Q using inputs L & K. The firm’s production function is X...

A firm produces good Q using inputs L & K. The firm’s production function is X = 20L^0.5 + 11K. The
price of K is $P_K a unit and the price of L is $P_L a unit, and in the short‐run, the capital input is
fixed at 3 units.
a. If the firm needs an output of X_1 in the short‐run, what is the firm’s total cost and marginal
cost of production?
b. What is the firm’s fixed cost and variable cost?

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