A material M is imported into a country principally to manufacture one family of products with an average life of Δt years and a growth rate of rc% per year. The material is not currently recycled at end of life, but it could be. The government is concerned that imports should not grow.
(a) What recycle fraction, fcrit, is necessary to make this possible?
(b) The longer the average product life, Δt, the smaller is its fractional contribution to future supply. What is the limiting life beyond which recycling cannot keep up with increased demand?
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