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Question
Microeconomics
Posted 5 months ago

The price and total revenue for the monopoly firm Mammoth, Inc. based on the quantity it sells is shown in this table:
\begin{tabular}{lll} 
Q & Price & Total revenue \\
\hline 0 & $20\$ 20 & $0\$ 0 \\
1 & $18\$ 18 & $18\$ 18 \\
2 & $16\$ 16 & $32\$ 32 \\
3 & $14\$ 14 & $42\$ 42 \\
4 & $12\$ 12 & $48\$ 48 \\
5 & $10\$ 10 & $50\$ 50 \\
6 & $8\$ 8 & $48\$ 48
\end{tabular}

What is the marginal revenue (MR) for the third unit and the fourth unit?
Choose 1 answer:
(A) MR(3)=$10;MR(4)=$6M R(3)=\$ 10 ; M R(4)=\$ 6
(B) MR(3)=$10;MR(4)=$10M R(3)=\$ 10 ; M R(4)=\$ 10
(c) MR(3)=$6;MR(4)=$6M R(3)=\$ 6 ; M R(4)=\$ 6
(D) MR(3)=$2;MR(4)=$2M R(3)=-\$ 2 ; M R(4)=-\$ 2
(ㄷ) MR(3)=$14;MR(4)=$12M R(3)=\$ 14 ; M R(4)=\$ 12
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Answer from Sia
Posted 5 months ago
Solution
a
Definition of Marginal Revenue: Marginal Revenue (MR) is the additional revenue that a firm earns by selling one more unit of a good or service. It is calculated as the change in total revenue divided by the change in quantity
b
Calculation of MR for the third unit: To find the MR for the third unit, we need to calculate the change in total revenue when the quantity sold increases from 2 to 3 units. Using the table: MR(3)=TR(3)TR(2)Q(3)Q(2)=423232=10 MR(3) = \frac{TR(3) - TR(2)}{Q(3) - Q(2)} = \frac{42 - 32}{3 - 2} = 10
c
Calculation of MR for the fourth unit: Similarly, to find the MR for the fourth unit, we calculate the change in total revenue when the quantity sold increases from 3 to 4 units. Using the table: MR(4)=TR(4)TR(3)Q(4)Q(3)=484243=6 MR(4) = \frac{TR(4) - TR(3)}{Q(4) - Q(3)} = \frac{48 - 42}{4 - 3} = 6
Answer
(A) MR(3)=$10;MR(4)=$6M R(3)=\$ 10 ; M R(4)=\$ 6
Key Concept
Marginal Revenue (MR)
Explanation
Marginal Revenue is the additional revenue from selling one more unit. For the third unit, MR is 10,andforthefourthunit,MRis10, and for the fourth unit, MR is 6, calculated from the changes in total revenue.

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