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Given a MARR of 4%, determine the maximum allowable inflation rate for Process A to still be feasible. In the space below, explain your solution

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Given a MARR of 4%, determine the maximum allowable inflation rate for Process A to still be feasible. In the space below, explain your solution process and show your calculations using factor notation (for example (P/A, i, n)).

Process A Process B First Cost $500,000 $800,000 Salvage $66,000 $80,000 Annual Savings $40,000 $70,000 $1000 occurs every Maintenance $3000 every 3 years other year, starting the first year and increases by $500 each time Service Life 20 16 3% 3% Single Payment Compound Present Amount Worth Factor Factor F/P P/F End-of-Period Compound Interest Factors Uniform Payment Series Capital Present Sinking Compound Recovery Worth Fund Amount Factor Factor Factor Factor A/P P/A A/F F/A Arithmetic Gradient Present Uniform Worth Payment Factor Factor P/G A/G N N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 1.860 1.916 1.974 2.033 2.094 2.157 2.221 2.288 2.357 2.427 2.500 2.575 2.652 2.732 2.814 3.262 3.782 4.384 5.082 5.892 6.830 7.918 9.179 10.641 12.336 14.300 16.578 19.219 00 9709 .9426 .9151 .8885 .8626 .8375 .8131 7894 .7664 .7441 .7224 .7014 .6810 .6611 .6419 .6232 .6050 5874 5703 5537 5375 5219 .5067 .4919 .4776 .4637 .4502 .4371 .4243 .4120 .4000 .3883 .3770 3660 3554 3066 .2644 .2281 .1968 .1697 .1464 .1263 .1089 .0940 .0811 .0699 .0603 .0520 0 1.0300 .5226 .3535 .2690 .2184 .1846 .1605 .1425 .1284 .1172 .1081 .1005 .0940 .0885 .0838 .0796 .0760 .0727 .0698 .0672 .0649 .0627 .0608 .0590 .0574 .0559 .0546 .0533 .0521 .0510 .0500 .0490 .0482 .0473 .0465 .0433 .0408 .0389 .0373 .0361 .0351 .0343 .0337 .0331 .0326 .0323 .0319 .0316 .03 .971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 15.415 15.937 16.444 16.936 17.413 17.877 18.327 18.764 19.188 19.600 20.000 20.389 20.766 21.132 21.487 23.115 24.519 25.730 26.774 27.676 28.453 29.123 29.702 30.201 30.631 31.002 31.323 31.599 33.333 1.0000 4926 3235 2390 .1884 .1546 .1305 .1125 .0984 .0872 .0781 .0705 .0640 .0585 .0538 .0496 .0460 .0427 .0398 .0372 .0349 .0327 .0308 .0290 .0274 .0259 .0246 .0233 .0221 .0210 .0200 .0190 .0182 .0173 .0165 .0133 .0108 .00887 .00735 .00613 .00515 .00434 .00367 .00311 .00265 .00226 .00193 .00165 0 1.000 2.030 3.091 4.184 5.309 6.468 7.662 8.892 10.159 11.464 12.808 14.192 15.618 17.086 18.599 20.157 21.762 23.414 25.117 26.870 28.676 30.537 32.453 34.426 36.459 38.553 40.710 42.931 45.219 47.575 50.003 52.503 55.078 57.730 60.462 75.401 92.720 112.8 136.1 163.1 194.3 230.6 272.6 321.4 377.9 443.3 519.3 607.3 0 .943 2.773 5.438 8.889 13.076 17.955 23.481 29.612 36.309 43.533 51.248 59.420 68.014 77.000 86.348 96.028 106.014 116.279 126.799 137.550 148.509 159.657 170.971 182.434 194.026 205.731 217.532 229.414 241.361 253.361 265.399 277.464 289.544 301.627 361.750 420.632 477.480 531.741 583.053 631.201 676.087 717.698 756.087 791.353 823.630 853.074 879.854 1111.111 0 .493 .980 1.463 1.941 2.414 2.882 3.345 3.803 4.256 4.705 5.148 5.587 6.021 6.450 6.874 7.294 7.708 8.118 8.523 8.923 9.319 9.709 10.095 10.477 10.853 11.226 11.593 11.956 12.314 12.668 13.017 13.362 13.702 14.037 15.650 17.156 18.558 19.860 21.067 22.184 23.215 24.163 25.035 25.835 26.567 27.235 27.844 33.333 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 00 Process A Process B First Cost $500,000 $800,000 Salvage $66,000 $80,000 Annual Savings $40,000 $70,000 $1000 occurs every Maintenance $3000 every 3 years other year, starting the first year and increases by $500 each time Service Life 20 16 3% 3% Single Payment Compound Present Amount Worth Factor Factor F/P P/F End-of-Period Compound Interest Factors Uniform Payment Series Capital Present Sinking Compound Recovery Worth Fund Amount Factor Factor Factor Factor A/P P/A A/F F/A Arithmetic Gradient Present Uniform Worth Payment Factor Factor P/G A/G N N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 1.860 1.916 1.974 2.033 2.094 2.157 2.221 2.288 2.357 2.427 2.500 2.575 2.652 2.732 2.814 3.262 3.782 4.384 5.082 5.892 6.830 7.918 9.179 10.641 12.336 14.300 16.578 19.219 00 9709 .9426 .9151 .8885 .8626 .8375 .8131 7894 .7664 .7441 .7224 .7014 .6810 .6611 .6419 .6232 .6050 5874 5703 5537 5375 5219 .5067 .4919 .4776 .4637 .4502 .4371 .4243 .4120 .4000 .3883 .3770 3660 3554 3066 .2644 .2281 .1968 .1697 .1464 .1263 .1089 .0940 .0811 .0699 .0603 .0520 0 1.0300 .5226 .3535 .2690 .2184 .1846 .1605 .1425 .1284 .1172 .1081 .1005 .0940 .0885 .0838 .0796 .0760 .0727 .0698 .0672 .0649 .0627 .0608 .0590 .0574 .0559 .0546 .0533 .0521 .0510 .0500 .0490 .0482 .0473 .0465 .0433 .0408 .0389 .0373 .0361 .0351 .0343 .0337 .0331 .0326 .0323 .0319 .0316 .03 .971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 15.415 15.937 16.444 16.936 17.413 17.877 18.327 18.764 19.188 19.600 20.000 20.389 20.766 21.132 21.487 23.115 24.519 25.730 26.774 27.676 28.453 29.123 29.702 30.201 30.631 31.002 31.323 31.599 33.333 1.0000 4926 3235 2390 .1884 .1546 .1305 .1125 .0984 .0872 .0781 .0705 .0640 .0585 .0538 .0496 .0460 .0427 .0398 .0372 .0349 .0327 .0308 .0290 .0274 .0259 .0246 .0233 .0221 .0210 .0200 .0190 .0182 .0173 .0165 .0133 .0108 .00887 .00735 .00613 .00515 .00434 .00367 .00311 .00265 .00226 .00193 .00165 0 1.000 2.030 3.091 4.184 5.309 6.468 7.662 8.892 10.159 11.464 12.808 14.192 15.618 17.086 18.599 20.157 21.762 23.414 25.117 26.870 28.676 30.537 32.453 34.426 36.459 38.553 40.710 42.931 45.219 47.575 50.003 52.503 55.078 57.730 60.462 75.401 92.720 112.8 136.1 163.1 194.3 230.6 272.6 321.4 377.9 443.3 519.3 607.3 0 .943 2.773 5.438 8.889 13.076 17.955 23.481 29.612 36.309 43.533 51.248 59.420 68.014 77.000 86.348 96.028 106.014 116.279 126.799 137.550 148.509 159.657 170.971 182.434 194.026 205.731 217.532 229.414 241.361 253.361 265.399 277.464 289.544 301.627 361.750 420.632 477.480 531.741 583.053 631.201 676.087 717.698 756.087 791.353 823.630 853.074 879.854 1111.111 0 .493 .980 1.463 1.941 2.414 2.882 3.345 3.803 4.256 4.705 5.148 5.587 6.021 6.450 6.874 7.294 7.708 8.118 8.523 8.923 9.319 9.709 10.095 10.477 10.853 11.226 11.593 11.956 12.314 12.668 13.017 13.362 13.702 14.037 15.650 17.156 18.558 19.860 21.067 22.184 23.215 24.163 25.035 25.835 26.567 27.235 27.844 33.333 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 00

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