Math Problem Statement
Solution
The problem provided is asking to determine the most profitable machine based on the Net Present Value (NPV) method. Let's break down the steps:
Step-by-Step Approach:
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Calculate NPV for both Machine A and Machine B.
- The initial cost of the machines is ₹4,00,000 with an additional ₹30,000 of working capital needed at the end of the first year.
- The target return (discount rate) is 10%.
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Formula for NPV: Where:
- is the year,
- is the discount rate (10% or 0.10),
- is the expected cash flow in year .
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Details to keep in mind:
- The initial investment is ₹4,00,000 for both machines.
- Additional working capital of ₹30,000 needs to be considered in year 1.
I will now calculate the NPVs for both Machine A and Machine B using the provided cash flows and the discount rate.
Let me perform the calculation.
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Math Problem Analysis
Mathematical Concepts
Net Present Value (NPV)
Discounting Cash Flows
Investment Decision Analysis
Formulas
NPV = Σ (Cash Flow_t / (1 + r)^t) - Initial Investment
Theorems
Time Value of Money
Suitable Grade Level
Undergraduate - Finance and Accounting
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