A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firm’s production function is: X=-0.2L3 + 18L2 + 1620L. Where X is the number of units of the product per week, and L is the number of persons employed. A t what weekly output is marginal cost equal to average variable cost? if the price of the product is $0.20 per unit, what is the maximum weekly wage that the firm would pay rather than close down?

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Q: A firm can manufacture a product according to the production function Q = F(K, L) = K0.5L0.5. (a)…

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Q: A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is…

A: When MC = AVC, we know that MP = AP MP = dX/dL = - 0.6L2 + 36L + 1620 AP = X/L = - 0.2L2 + 18L +…

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Q: uppose A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but…

A: When MC = AVC, we know that MP = AP MP = dX/dL = - 0.6L2 + 36L + 1620 AP = X/L = - 0.2L2 + 18L +…

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Isocost and Isoprofit Curve Analysis

An isocost curve in the production theory that is a crucial part of economics depicts different combinations of factor inputs at a given market cost. In other words, this shows all the combinations of production factors that cost the same for the firm to employ. Usually, this can be depicted as a downward sloping straight line when the firms act as the price-takers in the factor markets. The slope of this mainly depicts the relative prices of different production factors.