Explanation Given: The annual rice yield in Asia was increasing by about 0.04 ton per hectare each year. The International Rice Research Institute predicts an increase in demand for Asian rice of about 2.1 % per year. Approach: Write the general expression to obtain the growth factor. G f = 1 + r …… ( 1 ) Here, G f is the growth factor and r is the percentage rate of change. Calculation: The annual rice yield in Asia was increasing by about 0.04 ton per hectare each year which means the production is increasing with a constant rate. Thus, the rice yield is a linear function of time. The International Rice Research Institute predicts an increase in demand for Asian rice of about 2.1 % per year which means the demand is increasing with a constant percentage rate of change. Thus, the predicted demand is an exponential function of time. Substitute 2.1 % for r in equation ( 1 ) to calculate G f . G f = 1 + 2

6th Edition

ISBN: 9780357422496

Author: Crauder

Publisher: CENGAGE L

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Chapter 4.2, Problem 14E

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The future of rice production in Asia if the given estimates remain valid.

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The future of rice production in Asia if the given estimates remain valid.

Solution Summary: The author explains that the future demand of rice will exceed its production as the predicted demand shows exponential growth and production increases at a constant rate.

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The future of rice production in Asia if the given estimates remain valid.