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A firm's marginal product of labour is 4 and its marginal product of capital is 5. If the firm adds one…

Along an isoquant, total output remains unchanged when \(MP_L \cdot \Delta L + MP_K \cdot \Delta K = 0\). Given \(MP_L = 4\), \(MP_K = 5\), and \(\Delta L = +1\), solving…

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A firm's marginal product of labour is 4 and its marginal product of capital is 5. If the firm adds one unit of labour, but does not want its output to change, the firm should

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Along an isoquant, total output remains unchanged when MPL⋅ΔL+MPK⋅ΔK=0MP_L \cdot \Delta L + MP_K \cdot \Delta K = 0. Given MPL=4MP_L = 4, MPK=5MP_K = 5, and ΔL=+1\Delta L = +1, solving 4(1)+5ΔK=04(1) + 5\Delta K = 0 gives ΔK=−4/5=−0.8\Delta K = -4/5 = -0.8, meaning the firm should "use 0.8 fewer units of capital".

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