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Using the table below, calculate the marginal and average products. Given that the values of A and B in the table above are the corresponding values such that B is the first two digit of your personalized matriculation number and A is the last two non-zero digit. (b) Define Income elasticity of demand showing the formula. (c) In the face of the recent economic recession in Nigeria, there is need for a plan B: The 'No CHICKEN' THEORY. Discuss the concept, stating 5 'Chickens' to be avoided by a student in this situation.

Economics

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Completed Production Table (units of labor and packs of milk)

Labor (L)Total Product (TP)Average Product (AP)Marginal Product (MP)00−−11010102178.573237.676428755326.44\begin{array}{|c|c|c|c|} \hline \text{Labor (L)} & \text{Total Product (TP)} & \text{Average Product (AP)} & \text{Marginal Product (MP)} \\ \hline 0 & 0 & - & - \\ \hline 1 & 10 & 10 & 10 \\ \hline 2 & 17 & 8.5 & 7 \\ \hline 3 & 23 & 7.67 & 6 \\ \hline 4 & 28 & 7 & 5 \\ \hline 5 & 32 & 6.4 & 4 \\ \hline \end{array}
  1. Marginal Product (MP) calculations

    Formula: MPL=TPL−TPL−1\text{MP}_L = \text{TP}_L - \text{TP}_{L-1} (packs of milk per unit labor)

    L=1: MP1=10−0=10\text{MP}_1 = 10 - 0 = 10 packs per labor
    L=2: MP2=17−10=7\text{MP}_2 = 17 - 10 = 7 packs per labor
    L=3: MP3=23−17=6\text{MP}_3 = 23 - 17 = 6 packs per labor
    L=4: MP4=28−23=5\text{MP}_4 = 28 - 23 = 5 packs per labor
    L=5: MP5=32−28=4\text{MP}_5 = 32 - 28 = 4 packs per labor

  2. Average Product (AP) calculations

    Formula: APL=TPLL\text{AP}_L = \frac{\text{TP}_L}{L} (packs of milk per unit labor)

    L=1: AP1=101=10\text{AP}_1 = \frac{10}{1} = 10 packs per labor
    L=2: AP2=172=8.5\text{AP}_2 = \frac{17}{2} = 8.5 packs per labor
    L=3: AP3=233≈7.67\text{AP}_3 = \frac{23}{3} \approx 7.67 packs per labor
    L=4: AP4=284=7\text{AP}_4 = \frac{28}{4} = 7 packs per labor
    L=5: AP5=325=6.4\text{AP}_5 = \frac{32}{5} = 6.4 packs per labor

    [a] Using this situation, why Chola cannot fetch cash K1000s of packing milk
    Chola faces diminishing marginal returns: MP falls from 10 to 4 packs per additional labor. The firm hires labor until Marginal Revenue Product (MRP = price ×\times MP) equals wage. Beyond L=3 or 4, low MP means MRP < wage, so no more hiring. Maximum TP=32 packs limits total revenue (cash), cannot reach K1000s without higher price or more efficient labor.

    [b] Distinguish between income elasticity for normal and inferior goods
    Income elasticity of demand: ηI=%ΔQd%ΔI\eta_I = \frac{\% \Delta Q_d}{\% \Delta I}

    • Normal goods: ηI>0\eta_I > 0 (luxury: >1>1; necessity: 0<ηI<10 < \eta_I < 1) – demand rises as income rises.
    • Inferior goods: ηI<0\eta_I < 0 – demand falls as income rises (e.g., cheap staples).
      Law of demand holds for price, but income effect differs.

    [c] What influences consumption (quantity demanded) of goods
    Factors (ceteris paribus):

    1. Price of good: ↓P  ⟹  ↑Qd\downarrow P \implies \uparrow Q_d (law of demand).
    2. Income (II).
    3. Prices of related goods (substitutes/complements).
    4. Tastes/preferences.
    5. Expectations.
    6. Number of buyers/population.

    [d] Explain the nature of the relationship between price and quantity supplied
    Upward-sloping supply curve: higher price   ⟹  \implies higher quantity supplied.
    Reason: Higher P raises MRP, firms supply more (move along MC curve).
    Positive relationship: ΔQsΔP>0\frac{\Delta Q_s}{\Delta P} > 0.

    [e] Define price elasticity of demand (using lecture notes)
    Price elasticity of demand (EdE_d):

    Ed=%ΔQd%ΔP=ΔQd/QdΔP/PE_d = \frac{\% \Delta Q_d}{\% \Delta P} = \frac{\Delta Q_d / Q_d}{\Delta P / P}

    Measures responsiveness of quantity demanded to price change.
    Elastic (∣Ed∣>1|E_d| > 1), inelastic (∣Ed∣<1|E_d| < 1), unit (∣Ed∣=1|E_d|=1).

    [f] Short note on cross elasticity of demand
    Cross price elasticity (ExyE_{xy}):

    Exy=%ΔQdx%ΔPyE_{xy} = \frac{\% \Delta Q_{d_x}}{\% \Delta P_y}
    • Substitutes: Exy>0E_{xy} > 0 (↑Py  ⟹  ↑Qdx\uparrow P_y \implies \uparrow Q_{d_x}).
    • Complements: Exy<0E_{xy} < 0.
    • Unrelated: Exy=0E_{xy} = 0.
      Used to classify related goods.

    See completed table and steps above

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