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The Eleventh Regional Wheat Workshop For Eastern ... - Cimmyt

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Economics offertilizer use on durum wheat - Hailemariam and Gezahegn<br />

use of fertilizer is not well considered due to a wide range of factors. According to Workneh<br />

(1989), fanners in Ethiopia apply fertilizer at a rate less than the rate commonly advised by some<br />

extension agents, as fam1ers are not convinced of the economic return from the recommended<br />

rate. Deresse (1985) also identified lack of location specific recommendation about fertilizer<br />

application rate as a major constraint on fertilizer use by peasants ofEthiopia. <strong>The</strong> economic use<br />

of fertilizers consists of among other things, choosing the right kind and the right rate of fertilizer<br />

and applying it in the right place at the right time including consideration ofprices of input and<br />

output. In addition lack ofprofitability in the use of fertilizer is assumed to be detennined by the<br />

unfavorable relation between fertilizer and crop price, which results in low effective demand for<br />

fertilizer by fam1ers. Nevertheless, to justify the effect of such crop and fertiiizer price<br />

relationship on profitability by empirical studies, it is important to analyze the use of fertilizer<br />

focusing on efficiency and profitability.<br />

OBJECTIVES OF THE STUDY<br />

In line with this, the specific objectives of the study include:<br />

1) To derive wheat response function to the application of nitrogen and<br />

phosphorous fertilizer<br />

2) To detennine an optimum combination of fertilizers that can reduce the cost of<br />

fertilizer use thereby generating profitable returns<br />

3) To assess the effect of price change on the economic optimum levels of<br />

fertilizer use<br />

4) To estimate the gap between fanners' actual use of fertilizer and the optimum<br />

fertilizer level and identifying its impact on returns<br />

MATERIALS AND METHODS<br />

This study employs production function of multiple regression analysis to detennine economic<br />

rate of nitrogen and phosphorous fertilizers that maximize profit. <strong>The</strong> production function in<br />

economics describes the technical or physical relationship between output and one or more<br />

variable inputs (Ellis, 1988). Production function analysis is the most important of all the<br />

techniques used in production economics due to its simplicity and its power to provide extra<br />

infonnation regarding production and growth and also economic development and planning<br />

(Singh, 1986). It provides not only infonnation about the technical maximum level ofoutput that<br />

can be achieved in the application of a certain variable input, but also gives insight into the<br />

detem1ination ofproductivity of that input. <strong>The</strong> marginal productivity is defined as the amount<br />

of output obtained from a unit increase in the variable input. It is a highly useful concept to<br />

measure the degree of economic efficiency in allocation of resources between alternative<br />

choices. A production function may be expressed in several fonns one of which being an<br />

algebraic equation. <strong>The</strong> quantity of a physical output is detennined by the quantity of factor<br />

inputs.<br />

Thus, it can be said that quantity Y depends on factor inputs XI, X 2 , X 3 , •.. , X n , and can be<br />

written in functional fonn as:<br />

Where Y is the amount ofyield ofa given agricultural commodity, the Xs are the inputs required<br />

to produce the agricultural commodity, and f is the fitted functional fonn relating output to the<br />

396

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