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Ch6 Production and Costs

6.1 in the short run

marginal X of Y = total X 對 Y 微分

Marginal Products of Labor (MPL) Average Products of Labor (APL) = total output / labors

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MPL > APL 則增加ㄧ員工能讓 APL 上升

MPL = total products 斜率 = total products 微分

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APL = MPL 時為 APL 之 max (此時 L=L1)

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APL = total products/L,so 使 APL 為 max 的 L(=L1) 與原點連線切 total products

左圖 xy 軸反轉得右圖 (bc variable cost = labors * k)

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Average Variable Cost (AVC) = variable cost / output Average Cost (AC) = total cost / output

應為 product 的函數!!(108上期中 8(b) )

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期中考範圍以上


6.2 in long run

isoquant 等產量曲線

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K: capital ; L: labor shaded area: technologically ineffecient

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the distance ΔK is equal to the slope of the isoquant at the point A.1 The absolute value of this slope is called the marginal rate of technical substitution of labor for capital (MRTSLK)

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same as indifference curve MRS

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如 indifference curve,切點為最佳解

如 indifference curve,切點為最佳解

left = |slope|

left = |slope|

left > right 時(A) 繼續往右下移植到 left = right (C)

increasing returns to scale: output 變動程度較規模變動程度高 → 邊際成本遞減 constant returns to scale: 相同 → 邊際成本不變 decreasing returns to scale: 較低 → 邊際成本遞增

到最後通常為 decreasing 因為有些東西不能等規模增加如 CEO

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Problems

Long Run HW

MicU6-h.pdf

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