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A polymer plant with a production capacity of 10,000 tons per year has an overall yield of 70%, on mass basis (kg of product per kg of raw material). The raw material costs Rs. 50,000 per ton. A process modification is proposed to increase the overall yield to 75% with an investment of Rs. 12.5 crore. In how many years can the invested amount be recovered with the additional profit? ___________
    Correct answer is between '2.55,2.70'. Can you explain this answer?
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    A polymer plant with a production capacity of 10,000 tons per year has...
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    A polymer plant with a production capacity of 10,000 tons per year has...
    Given data:
    Production capacity of polymer plant = 10,000 tons/year
    Overall yield with current process = 70%
    Overall yield with proposed process modification = 75%
    Raw material cost = Rs. 50,000/ton
    Investment for process modification = Rs. 12.5 crore

    Calculation:
    1. Calculate the production of polymer with the current process:
    Production = Production capacity * Overall yield
    = 10,000 tons/year * 70%
    = 7,000 tons/year

    2. Calculate the production of polymer with the proposed process modification:
    Production = Production capacity * Overall yield
    = 10,000 tons/year * 75%
    = 7,500 tons/year

    3. Calculate the additional production from the proposed process modification:
    Additional production = Production with proposed process - Production with current process
    = 7,500 tons/year - 7,000 tons/year
    = 500 tons/year

    4. Calculate the additional profit from the proposed process modification:
    Additional profit = Additional production * Raw material cost
    = 500 tons/year * Rs. 50,000/ton
    = Rs. 2.5 crore/year

    5. Calculate the payback period for the investment:
    Payback period = Investment / Additional profit
    = Rs. 12.5 crore / Rs. 2.5 crore/year
    = 5 years

    Conclusion:
    The invested amount can be recovered in 5 years with the additional profit.
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    A polymer plant with a production capacity of 10,000 tons per year has an overall yield of 70%, on mass basis (kg of product per kg of raw material). The raw material costs Rs. 50,000 per ton. A process modification is proposed to increase the overall yield to 75% with an investment of Rs. 12.5 crore. In how many years can the invested amount be recovered with the additional profit? ___________Correct answer is between '2.55,2.70'. Can you explain this answer?
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