[ 20MARKS]
3.1 Calculate the cross-price elasticity of demand for Irish potatoes given the following information:
The price of sweet potatoes increased from N$9.00 to N$10.00 per kg.
When the price of sweet potatoes was N$9.00 per kg, the quantity demanded of Irish potatoes
was 150 kg per week.
When the price of sweet potatoes increased to N$10.00 per kg, the quantity demanded of Irish
potatoes increased to 190 kg per week.
(i) Calculate the cross elasticity of demand for Irish potatoes.
[3]
(ii) Interpret the cross elasticity of demand for Irish potatoes.
[2]
(iii) Given the answer of cross elasticity, are Irish potatoes and sweet potatoes substitute or
complementary goods? Motivate your answer.
[2]
3.2 A farmer who specializes in two cash crops, groundnuts and cowpeas, is looking to hire a suitable
candidate from NUST.To evaluate the candidates, she presented the following scenario:
Groundnuts:
Initial price: N$90 per ton
Proposed price: N$100 per ton
Projected demand decrease: from 1,500 tons to 1,100 tons
Cowpeas:
Initial price: N$120 per ton
New price: N$125 per ton
Demand change: from 1,240 tons to 1,226 tons
Using this information,
(i) Calculate the price elasticity for both groundnuts and cowpeas?
[S]
(ii) What type of elasticity of demand is groundnut and cowpeas?
[2]
(iii) If the farmer want to select one of the crop for increasing her revenue which crop are you
recommending her to choose for her to make more profit?
[2]
(iv) By calculation, prove why you have chosen that cash crop in (iii)?
[4)
Total
[20)
4