This problem consists of developing a firm yield versus storage capacity relation­ship for...

This problem consists of developing a firm yield versus storage capacity relation­ship for a proposed water supply reservoir. The monthly streamflows (inflows) at the site of the proposed reservoir are provided below for a critical 2-year drought period. The firm yield provided by a reservoir at this site is the maximum constant water supply diversion rate that can be maintained continuously if the sequence of 24 monthly inflows are repeated cyclically forever. Firm yield is a function of reservoir storage capacity, as well as inflows. Compute at least six points on the firm yield versus storage capacity curve. Firm yields for the two extremes of zero storage capacity and an infinitely large reservoir can be easily determined without using an LP model. Determine at least four other additional points on the yield-storage curve by developing an LP model. Plot the storage capacity versus firm yield curve.