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a. To determine if the process improvement is recommended, we need to calculate the Net Present Value (NPV) of the investment. First, calculate the total
a. To determine if the process improvement is recommended, we need to calculate the Net Present Value (NPV) of the investment. First, calculate the total revenue from each product per year: Product A: 5000 $/kg * 5.5 kg/batch * 20 batches/year = $550,000/year Product B: 1500 $/kg * 6.25 kg/batch * 13 batches/year = $121,875/year Product C: 3000 $/kg * 5.75 kg/batch * 16 batches/year = $276,000/year Total revenue per year = $550,000 $121,875 $276,000 = $947,875/year With a 25% increase in capacity, the new total revenue per year = $947,875 * 1.25 = $1,184,843.75/year The additional revenue per year due to the capacity increase = $1,184,843.75 - $947,875 = $236,968.75/year The NPV of the investment over 5 years at a discount rate of 17% is calculated as follows: NPV = (Cash inflow - Cash outflow) / (1 r)^n - Initial investment Where: Cash inflow = Additional revenue per year = $236,968.75 Cash outflow = Manufacturing cost = $0.75 million/year r = Discount rate = 17% = 0.17 n = Year (from 1 to 5) Initial investment = Cost of new crystallizer = $850,000 Calculate the NPV for each year, then sum them up and subtract the initial investment
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