Question

Difficulty: MediumRevenue Concepts and Relationships

The table below presents the price and output schedule for a firm:

Output (QQ)Price (\text{₦})Total Revenue (\text{₦})
1120202020
2218183636
3316164848
4414145656
5512126060

What is the marginal revenue derived from expanding output from 33 units to 44 units?

  1. A
    14\text{₦}14
  2. 8\text{₦}8Answer
  3. C
    56\text{₦}56
  4. D
    2\text{₦}2

Answer

The marginal revenue derived from expanding output from 3 units to 4 units is 8\text{₦}8.
Marginal revenue (MRMR) is defined as the change in total revenue divided by the change in total quantity (MR=ΔTR/ΔQMR = \Delta TR / \Delta Q). At Q=3Q = 3, Total Revenue is 48\text{₦}48. At Q=4Q = 4, Total Revenue increases to 56\text{₦}56. The addition to total revenue is 5648=8\text{₦}56 - \text{₦}48 = \text{₦}8.

Step-by-Step Solution

1
Identify Total Revenue at 3 units (TR3TR_3)
TR3=48TR_3 = \text{₦}48
To establish the total revenue earned before producing and selling the additional unit.
2
Identify Total Revenue at 4 units (TR4TR_4)
TR4=56TR_4 = \text{₦}56
To establish the new total revenue after selling the 4th unit.
3
Calculate Marginal Revenue (MRMR) using MR=ΔTRΔQMR = \frac{\Delta TR}{\Delta Q}
MR=5648=8MR = \text{₦}56 - \text{₦}48 = \text{₦}8
Marginal revenue measures the additional revenue generated by selling one more unit of output.

Key Concept

Marginal Revenue Calculation and Relationship to Total Revenue
Estimated Time:1m 0s
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