Question

A Farmer has a piece of land on which he grows beans . His farm record on bean production for nine years is shown below.

Year	Fertilizer Applied (100kg Bags)	Total Output of Beans (90kg Bags)
2011	0	6
2012	2	12
2013	4	30
2014	6	44
2015	8	54
2016	10	62
2017	12	68
2018	14	68
2019	16	66

 

1. Using an appropriate scale draw a graph to show the relationship between inputs and outputs.
2. calculate the farmers marginal product for the year 2013.
3. From the data given , what rate of fertilizer application would the farmer choose if he wanted to grow maize in 2020?
4. Give an explanation for your choice above.
5. calculate the average product for the year 2015.

Answer 1

1. 
   
2. 30-12 =18bags
3. 12 bags of fertilizer.
4. When he applied 12 bags of fertilizer the yields were at the high( 68 bags)
5. average product = total yield / number of units of input.
   = 54/4=13.5