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Estimating armaments. During World War II the Allies captured some German tanks on which the smallest serial number was S and the biggest was B. Assuming the entire production of tanks was numbered 1 through N, the Allies used the function N = B + S − 1 to estimate the number of tanks in the German army.
a) Find N if B = 2003 and S = 455.
b) If this formula was used to estimate N = 1452 and the largest serial number was 1033, what was the smallest serial number?
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