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Showing posts from October, 2023

Problem Solving: Allotment calculator

 Problem Statement: Suppose the Government plans to issue up to $10,000 of Savings Bonds. Four individuals applied for a total of $18,000 of Savings Bonds: A ($2,000), B ($4,000) C ($5,500) and D ($6,500). The available bonds will be spread out among as many investors as possible in the following manner: Applications are filled in denominations of $500 upwards. After Round 4, $8,000 of Savings Bonds have been allotted, and Investor A's application has been fully met. $2,000 of Savings Bonds are left. In Round 5, $1,500 of Savings Bonds are allotted. In Round 6, the remaining $500 is insufficient to fill all applications. One person among Investor B, Investor C and Investor D is randomly allotted the remaining $500. In this case, Investor C gets it. The cutoff amount in this case is $2,500. In the final allotment: Investor A is allotted $2,000. Investor B and Investor D get $2,500 each. Investor C gets $3,000. limitations: 1. The minimum individual investment amount is $500 2. The m...