Question 1 Report
The table below presents the price and quantity supplied by a palm oil producer. Use the information in the table to answer the following questions.
| Price ($) | Quantity Supplied (gallons) |
| 6 | 200 |
| 12 | 300 |
| 18 | 400 |
| 20 | 500 |
| 24 | 600 |
(a) If the price of palm oil falls from $20.00 to $18.00, calculate the price elasticity of supply. (4 arks)
(b) Interpret your answer in question 2(a) above. (2 marks)
(c) Study the extract below and answer the following questions. The price of palm oil remains at $6.00 per gallon and an increase in the price of a related product causes an increase in the supply of palm oil:
(i) Give a graphical presentation to illustrate this change. (6 marks)
(ii) Indicate the type of supply for the two products. (2 marks)
(d) State reasons that can cause a change in supply. (6 marks)
(a) Price elasticity of supply
When price falls from $20.00 to $18.00, quantity supplied falls from 500 gallons to 400 gallons.
\[\Delta Q_s=500-400=100\text{ gallons}\]
\[\Delta P=20-18=2\]
Using the initial price and quantity, \(P=20\) and \(Q=500\):
\[E_s=\frac{\Delta Q_s}{\Delta P}\times\frac{P}{Q}\]
\[E_s=\frac{100}{2}\times\frac{20}{500}=50\times0.04=2\]
Price elasticity of supply = 2.
(b) Supply is elastic because \(E_s=2\), which is greater than 1. Thus, the percentage change in quantity supplied is greater than the percentage change in price.
(c)(i) Graphical presentation
The increase in the price of the related product shifts the supply curve of palm oil rightward from \(S_1\) to \(S_2\). At the unchanged price of $6.00 per gallon, quantity supplied increases from \(Q_1\) to \(Q_2\).
(c)(ii) The two products are in joint supply. An increase in the price of one jointly produced product encourages producers to increase output of both products.
(d) Reasons for a change in supply
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