Suppose that a firm’s production function is Q = 2L0.5 + 3K0.5. The cost of a unit of labour is R2 and the cost of a unit of capital is R1.a) Determine the firm's optimal ratio of labour to capital. b) Determine the level of capital and labour in the long run if the firm wants to apply a cost constraint of 396. Calculate the output of the firm. c) Graphically illustrate this using isoquant and isocost lines.
Suppose that a firm’s production function is Q = 2L0.5 + 3K0.5. The cost of a unit of labour is R2 and the cost of a unit of capital is R1.a) Determine the firm's optimal ratio of labour to capital. b) Determine the level of capital and labour in the long run if the firm wants to apply a cost constraint of 396. Calculate the output of the firm. c) Graphically illustrate this using isoquant and isocost lines.
Chapter1: Making Economics Decisions
Section: Chapter Questions
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Suppose that a firm’s production function is Q = 2L0.5 + 3K0.5. The cost of a unit of labour is R2 and the cost of a unit of capital is R1.a) Determine the firm's optimal ratio of labour to capital. b) Determine the level of capital and labour in the long run if the firm wants to apply a cost constraint of 396. Calculate the output of the firm. c) Graphically illustrate this using isoquant and isocost lines.
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