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Question One B) Cost out-put relationship. Step 1: Use the following formulas to complete the table: TC = TFC + TVC, AVC = TVC / Q, AFC = TFC / Q, AC = TC / Q or AFC + AVC, MC = ΔTC / ΔQ or ΔTVC / ΔQ.

Economics

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Question One B) Cost out-put relationship

  1. Use the following formulas to complete the table

    • Total Cost (TC) = Total Fixed Cost (TFC) + Total Variable Cost (TVC)
    • Average Variable Cost (AVC) = TVC / Quantity (Q)
    • Average Fixed Cost (AFC) = TFC / Q
    • Average Cost (AC) = TC / Q or AFC + AVC
    • Marginal Cost (MC) = ΔTCΔQ\frac{\Delta \text{TC}}{\Delta \text{Q}} or ΔTVCΔQ\frac{\Delta \text{TVC}}{\Delta \text{Q}}
  2. Calculate the values for each column and row.

    Unit of output (Q)Total Fixed Cost (TFC)Total Variable Cost (TVC)Total Cost (TC)Average Variable Cost (AVC)Average Fixed Cost (AFC)Average Cost (AC)Marginal Cost (MC)
    060060----
    160208020608020
    260369618304816
    3604810816203612
    4606412416153116
    5609015018123026
    66013219222103242

    Question Two

    Given: The rate of labor (ww) is 3 and the rate of capital (rr) is 4.
    The manufacturer produces 100 pieces as weekly output.

  3. Use the given rates to calculate the Cost of Labor, Cost of Capital, and Total Cost for each combination of Capital Units (K) and Labor Units (L).

    • Cost of Labor = Labor Units (L) ×w\times w
    • Cost of Capital = Capital Units (K) ×r\times r
    • Total Cost = Cost of Labor + Cost of Capital
  4. Calculate the values for each row.

    Capital Units (K)Labor Units (L)Quantity OutputI. Cost of LaborII. Cost of CapitalIII. Total Cost
    451010010×3=3010 \times 3 = 3045×4=18045 \times 4 = 18030+180=21030 + 180 = 210
    282010020×3=6020 \times 3 = 6028×4=11228 \times 4 = 11260+112=17260 + 112 = 172
    163010030×3=9030 \times 3 = 9016×4=6416 \times 4 = 6490+64=15490 + 64 = 154
    124010040×3=12040 \times 3 = 12012×4=4812 \times 4 = 48120+48=168120 + 48 = 168
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