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Understand the formulas for Total Revenue (TR), Average Revenue (AR), and Marginal Revenue (MR).

Business/Management

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  1. Understand the formulas for Total Revenue (TR), Average Revenue (AR), and Marginal Revenue (MR).

    • Total Revenue (TR) = Price (P) ×\times Quantity Sold (Q)
    • Average Revenue (AR) = Total Revenue (TR) / Quantity Sold (Q)
    • Marginal Revenue (MR) = Change in Total Revenue (Δ\DeltaTR) / Change in Quantity Sold (Δ\DeltaQ)
  2. Calculate TR, AR, and MR for each quantity.

    For Q = 0:

    TR=50×0=0\text{TR} = 50 \times 0 = 0 AR=undefined (or -)\text{AR} = \text{undefined (or -)} MR=not applicable (or -)\text{MR} = \text{not applicable (or -)}

    For Q = 1:

    TR=50×1=50\text{TR} = 50 \times 1 = 50 AR=501=50\text{AR} = \frac{50}{1} = 50 MR=50−01−0=50\text{MR} = \frac{50 - 0}{1 - 0} = 50

    For Q = 2:

    TR=50×2=100\text{TR} = 50 \times 2 = 100 AR=1002=50\text{AR} = \frac{100}{2} = 50 MR=100−502−1=50\text{MR} = \frac{100 - 50}{2 - 1} = 50

    For Q = 3:

    TR=50×3=150\text{TR} = 50 \times 3 = 150 AR=1503=50\text{AR} = \frac{150}{3} = 50 MR=150−1003−2=50\text{MR} = \frac{150 - 100}{3 - 2} = 50

    For Q = 4:

    TR=50×4=200\text{TR} = 50 \times 4 = 200 AR=2004=50\text{AR} = \frac{200}{4} = 50 MR=200−1504−3=50\text{MR} = \frac{200 - 150}{4 - 3} = 50
  3. Complete the table with the calculated values.

    Price (P)Quantity Sold (Q)TRARMR
    5000--
    501505050
    5021005050
    5031505050
    5042005050

    The completed table is:

    Price (P)Quantity Sold (Q)TRARMR5000−−501505050502100505050315050505042005050\boxed{ \begin{array}{|c|c|c|c|c|} \hline \text{Price (P)} & \text{Quantity Sold (Q)} & \text{TR} & \text{AR} & \text{MR} \\ \hline 50 & 0 & 0 & - & - \\ 50 & 1 & 50 & 50 & 50 \\ 50 & 2 & 100 & 50 & 50 \\ 50 & 3 & 150 & 50 & 50 \\ 50 & 4 & 200 & 50 & 50 \\ \hline \end{array} }
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