Suriti wants to Invest at most 12000 in saving certificates and National Saving Bonds. She has to invest at least 2000 in Saving certificates and at least 4000 in National Saving Bonds. If Rate of Interest on saving certificates is 8% per annum and rate of interest on national saving bond is 10% per annum. How much money should she invest to earn maximum yearly income? Find also the maximum yearly income.
This is a Linear Programming Problem (LPP) where we need to maximize Suriti's yearly income while following investment constraints. --- ### Step 1: Define Variables Let: - \( x \) = amount invested in Saving Certificates (in rupees) - \( y \) = amount invested in National Saving Bonds (in rupees) ### Step 2: Write the Constraints 1. Total Investment Limit: \[ x + y \leq 12000 \] 2. Minimum Investment in Saving Certificates: \[ x \geq 2000 \] 3. Minimum Investment in National Saving Bonds: \[ y \geq 4000 \] ____ _________ ___ _______ ___ ________.
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