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 (...
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 \(Q=500\):
(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 \(Q_2\).
At the fixed price of $6 per gallon, supply increases from Q₁ = 200 gallons on S₁ to Q₂ = 300 gallons on S₂.
(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
Prices of related products: a rise in the price of a jointly supplied product may increase the supply of palm oil.
Cost of production: higher costs of labour, transport, machinery or raw materials reduce supply, while lower costs increase supply.
Technology: improved production methods increase supply by making production more efficient.
Government policy: taxes reduce supply, whereas subsidies may increase supply.
Producers' expectations: expected future price increases may cause producers to withhold current supply; expected price falls may increase current supply.
Number of producers: entry of more producers increases market supply, while exit of producers reduces it.
(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 \(Q_2\).
At the fixed price of $6 per gallon, supply increases from Q₁ = 200 gallons on S₁ to Q₂ = 300 gallons on S₂.
(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
Prices of related products: a rise in the price of a jointly supplied product may increase the supply of palm oil.
Cost of production: higher costs of labour, transport, machinery or raw materials reduce supply, while lower costs increase supply.
Technology: improved production methods increase supply by making production more efficient.
Government policy: taxes reduce supply, whereas subsidies may increase supply.
Producers' expectations: expected future price increases may cause producers to withhold current supply; expected price falls may increase current supply.
Number of producers: entry of more producers increases market supply, while exit of producers reduces it.