Question
Balompie is the largest Canadian producer of dairy products. The company needs to replace its equipment. The current equipment was purchased 18 years ago at
Balompie is the largest Canadian producer of dairy products. The company needs to replace its equipment. The current equipment was purchased 18 years ago at a cost of $2 million, and it was depreciated over a 20-year period using the straight-line method, assuming no expected salvage value. Management believes that, currently, the equipment could be sold for $143,100. The new equipment would cost $2,841,000 and have an expected residual value of $530,000 at the end of its estimated life of 10 years. With the new equipment, the current operating costs of $1.50 million would decrease by 30% in year 1, remain at that level for year 2 and year 3, decrease by another 9% in year 4, and remain at that level for the remaining life of the asset. With the new equipment, the company would have to hire another operator at an annual cost of $33,700. The companys cost of capital is 11%.
Assuming that the company decides to buy the new equipment now, calculate the initial investment.
Initial investment | $ |
Calculate the net present value of investing in the new equipment. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124 and final answers to 0 decimal places, e.g. 5,275.) Click here to view PV table.
Net present value | $ |
If the maximum acceptable payback period for the company is 8 years, calculate the payback period on this investment. (Round answer to 1 decimal place, e.g. 12.5.)
Payback period | years |
Should the company replace the equipment now? Yes or No
TABLE 1 Future Value of 1 (Future Value of a Single Sum) (n) Periods 15% 1.15000 1.32250 1.52088 1.74901 2.01136 2.31306 2% 2.5% 3% 1.02000 1.02500 1.03000 1.04040 1.05063 1.06090 1.06121 1.07689 1.09273 1.08243 1.10381 1.12551 1.10408 1.13141 1.15927 1.12616 1.15969 1.19405 1.14869 1.18869 1.22987 1.17166 1.21840 1.26677 1.19509 1.24886 1.30477 1.21899 1.28008 1.34392 1.24337 1.31209 1.38423 1.26824 1.34489 1.42576 1.29361 1.37851 1.46853 1.31948 1.41297 1.51259 1.34587 1.44830 1.55797 1.37279 1.48451 1.60471 1.40024 1.52162 1.65285 1.42825 1.55966 1.70243 1.45681 1.59865 1.75351 FVFn,i = (1 + i)" 4% 5% 6% 8% 1.04000 1.05000 1.06000 1.08000 1.08160 1.10250 1.12360 1.16640 1.12486 1.15763 1.19102 1.25971 1.16986 1.21551 1.26248 1.36049 1.21665 1.27628 1.33823 1.46933 1.26532 1.34010 1.41852 1.58687 1.31593 1.40710 1.50363 1.71382 1.36857 1.47746 1.59385 1.85093 1.42331 1.55133 1.68948 1.99900 1.48024 1.62889 1.79085 2.15892 1.53945 1.71034 1.89830 2.33164 1.60103 1.79586 2.01220 2.51817 1.66507 1.88565 2.13293 2.71962 1.73168 1.979932.26090 2.93719 1.80094 2.078932.39656 3.17217 1.87298 2.18287 2.54035 3.42594 1.94790 2.29202 2.69277 3.70002 2.02582 2.40662 2.85434 3.99602 2.10685 2.52695 3.02560 4.31570 2.66002 3.05902 3.51788 9% 10% 11% 12% 1.09000 1.10000 1.11000 1.12000 1.18810 1.21000 1.23210 1.25440 1.295031.33100 1.36763 1.40493 1.41158 1.46410 1.51807 1.57352 1.53862 1.61051 1.68506 1.76234 1.67710 1.77156 1.87041 1.97382 1.82804 1.94872 2.07616 2.21068 1.99256 2.143592.30454 2.47596 2.171892.35795 2.55803 2.77308 2.36736 2.59374 2.83942 3.10585 2.58043 2.85312 3.15176 3.47855 2.81267 3.13843 3.49845 3.89598 3.06581 3.45227 3.88328 4.36349 3.34173 3.79750 4.31044 4.88711 3.64248 4.17725 4.784595.47357 3.97031 4.59497 5.310896.13039 4.32763 5.05447 5.895096.86604 4.71712 5.55992 6.54355 7.68997 5.14166 6.11591 7.26334 8.61276 4.04556 4.65239 5.35025 6.15279 7.07571 17 8.13706 9.35762 10.76126 12.37545 14.23177 18 19 20 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 1.42825 1.55966 1.70243 2.02582 2.40662 2.85434 3.99602 4.71712 5.55992 6.54355 7.68997 12.37545 1.45681 1.59865 1.75351 2.10685 2.52695 3.02560 4.31570 5.14166 6.11591 7.26334 8.61276 14.23177 | 1.48595 1.63862 1.80611 2.19112 2.65330 3.20714 4.66096 5.60441 6.72750 8.06231 9.64629 16.36654 | 1.51567 1.67958 1.86029 2.27877 2.78596 3.39956 5.03383 6.10881 7.40025 8.94917 10.80385 18.82152 1.54598 1.72157 1.91610 2.36992 2.92526 3.60354 5.43654 6.65860 8.14028 9.93357 12.10031 21.64475 1.57690 1.76461 1.97359 2.46472 3.07152 3.81975 5.87146 7.25787 8.95430 11.02627 13.55235 24.89146 | 1.60844 1.80873 2.03279 2.56330 3.22510 4.04893 6.34118 7.91108 9.84973 12.23916 15.17863 28.62518 | 1.64061 1.85394 2.09378 2.66584 3.38635 4.29187 6.84847 8.62308 10.83471 13.58546 17.00006 32.91895 | 1.67342 1.90029 2.15659 2.77247 3.55567 4.54938 7.39635 9.39916 11.91818 15.07986 19.04007 37.85680 1.70689 1.94780 2.22129 2.88337 3.73346 4.82235 7.98806 10.24508 13.10999 16.73865 21.32488 43.53532 1.74102 1.99650 2.28793 2.99870 3.92013 5.11169 8.62711 11.16714 14.42099 18.57990 23.88387 50.06561 1.77584 2.04641 2.35657 3.11865 4.11614 5.41839 9.31727 12.17218 15.86309 20.62369 26.74993 57.57545 1.81136 2.09757 2.42726 3.24340 4.32194 5.74349 10.06266 13.26768 17.44940 22.89230 29.95992 66.21177 | 1.84759 2.15001 2.50008 3.37313 4.53804 6.08810 10.86767 14.46177 19.19434 25.41045 33.55511 76.14354 1.88454 2.20376 2.57508 3.50806 4.76494 6.45339 11.73708 15.76333 21.11378 28.20560 37.58173 87.56507 11.92223 2.25885 2.65234 3.64838 5.00319 6.84059 12.67605 17.18203 23.22515 31.30821 42.09153 100.69983 11.96068 2.31532 2.73191 3.79432 5.25335 7.25103 13.69013 18.72841 25.54767 34.75212 47.14252 115.80480 11.99989 2.37321 2.81386 3.94609 5.51602 7.68609 14.78534 20.41397 28.10244 38.57485 52.79962 133.17552 2.03989 2.43254 2.89828 4.10393 5.79182 8.14725 15.96817 22.25123 30.91268 42.81808 59.13557 153.15185 12.08069 2.49335 2.98523 4.26809 6.08141 8.63609 17.24563 24.25384 34.00395 47.52807 66.23184 176.12463 2.12230 2.55568 3.07478 4.43881 6.38548 9.15425 18.62528 26.43668 37.40434 52.75616 74.17966 202.54332 2.16474 2.61957 3.16703 4.61637 6.70475 9.70351 20.11530 28.81598 41.14479 58.55934 83.08122 232.92482 2.20804 2.68506 3.26204 4.80102 7.03999 10.28572 21.72452 31.40942 45.25926 65.00087 93.05097 267.86355 TABLE 2 Present Value of 1 (Present Value of a Single Sum) (n) Periods PVFn,i = 0o = (1+i)* 2% 2.5% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15% 0.98039 0.97561 0.97087 0.96154 0.95238 0.94340 0.92593 0.91743 0.909090.90090 0.89286 0.86957 0.96117 0.95181 0.94260 0.92456 0.90703 0.89000 0.85734 0.84168 0.82645 0.81162 0.79719 0.75614 0.94232 0.92860 0.91514 0.88900 0.86384 0.83962 0.79383 0.77218 0.75132 0.73119 0.71178 0.65752 0.92385 0.90595 0.88849 0.85480 0.82270 0.79209 0.73503 0.70843 0.68301 0.65873 0.63552 0.57175 0.90573 0.88385 0.86261 0.82193 0.78353 0.74726 0.68058 0.64993 0.62092 0.59345 0.56743 0.49719 0.88797 0.86230 0.83748 0.79031 0.74622 0.70496 0.63017 0.59627 0.56447 0.53464 0.50663 0.43233 0.87056 0.84127 0.81309 0.75992 0.71068 0.66506 0.58349 0.54703 0.51316 0.48166 0.45235 0.37594 0.85349 0.82075 0.78941 0.73069 0.67684 0.62741 0.54027 0.50187 0.46651 0.43393 0.40388 0.32690 0.83676 0.80073 0.76642 0.70259 0.64461 0.59190 0.50025 0.46043 0.42410 0.39092 0.36061 0.28426 0.82035 0.78120 0.74409 0.67556 0.61391 0.55839 0.46319 0.42241 0.38554 0.35218 0.32197 0.24718 0.80426 0.76214 0.72242 0.64958 0.58468 0.52679 0.42888 0.38753 0.35049 0.31728 0.28748 0.21494 0.78849 0.74356 0.70138 0.62460 0.55684 0.49697 0.39711 0.35554 0.31863 0.28584 0.25668 0.18691 0.77303 0.72542 0.68095 0.60057 0.53032 0.46884 0.36770 0.32618 0.28966 0.25751 0.22917 0.16253 0.75788 0.70773 0.66112 0.57748 0.50507 0.44230 0.34046 0.29925 0.26333 0.23199 0.20462 0.14133 0.74301 0.69047 0.64186 0.55526 0.48102 0.41727 0.31524 0.27454 0.23939 0.20900 0.18270 0.12289 0.72845 0.67362 0.62317 0.53391 0.45811 0.39365 0.29189 0.25187 0.21763 0.18829 0.16312 0.10687 0.71416 0.65720 0.60502 0.51337 0.43630 0.37136 0.27027 0.23107 0.19785 0.16963 0.14564 0.09293 0.70016 0.64117 0.587390.49363 0.41552 0.35034 0.25025 0.21199 0.17986 0.15282 0.13004 0.08081 18 0.70016 0.64117 0.58739 0.49363 0.41552 0.35034 0.25025 0.21199 0.17986 0.15282 0.13004 0.08081 0.68643 0.62553 0.57029 0.47464 0.39573 0.33051 0.23171 0.19449 0.16351 0.13768 0.11611 0.07027 0.67297 0.61027 0.55368 0.45639 0.37689 0.31180 0.21455 0.17843 0.14864 0.12403 0.10367 0.06110 0.65978 0.59539 0.53755 0.43883 0.35894 0.29416 0.19866 0.16370 0.13513 0.11174 0.09256 0.05313 0.64684 0.58086 0.52189 0.42196 0.34185 0.27751 0.18394 0.15018 0.12285 0.10067 0.08264 0.04620 0.63416 0.56670 0.50669 0.40573 0.32557 0.26180 0.17032 0.13778 0.11168 0.09069 0.07379 0.04017 0.62172 0.55288 0.49193 0.39012 0.31007 0.24698 0.15770 0.12641 0.10153 0.08170 0.06588 0.03493 0.60953 0.53939 0.47761 0.37512 0.29530 0.23300 0.14602 0.11597 0.09230 0.07361 0.05882 0.03038 0.59758 0.52623 0.46369 0.36069 0.28124 0.21981 0.13520 0.10639 0.08391 0.06631 0.05252 0.02642 0.58586 0.51340 0.45019 0.34682 0.26785 0.20737 0.12519 0.09761 0.07628 0.05974 0.04689 0.02297 0.57437 0.50088 0.43708 0.33348 0.25509 0.19563 0.11591 0.08955 0.06934 0.05382 0.04187 0.01997 0.56311 0.48866 0.42435 0.32065 0.24295 0.18456 0.10733 0.08216 0.06304 0.04849 0.03738 0.01737 0.55207 0.47674 0.41199 0.30832 0.23138 0.17411 0.09938 0.07537 0.05731 0.04368 0.03338 0.01510 0.54125 0.46511 0.39999 0.29646 0.22036 0.16425 0.09202 0.06915 0.05210 0.03935 0.02980 0.01313 0.53063 0.45377 0.38834 0.28506 0.20987 0.15496 0.08520 0.06344 0.04736 0.03545 0.02661 0.01142 0.52023 0.44270 0.37703 0.27409 0.19987 0.14619 0.07889 0.05820 0.04306 0.03194 0.02376 0.00993 0.51003 0.43191 0.36604 0.26355 0.19035 0.13791 0.07305 0.05340 0.03914 0.02878 0.02121 0.00864 0.50003 0.42137 0.35538 0.25342 0.18129 0.13011 0.06763 0.04899 0.03558 0.02592 0.01894 0.00751 0.49022 0.41109 0.34503 0.24367 0.17266 0.12274 0.06262 0.04494 0.03235 0.02335 0.01691 0.00653 0.48061 0.40107 0.33498 0.23430 0.16444 0.11579 0.05799 0.04123 0.02941 0.02104 0.01510 0.00568 10.47119 0.39128 0.32523 0.22529 0.15661 0.10924 0.05369 0.03783 0.02674 0.01896 0.01348 0.00494 10.46195 0.38174 0.31575 0.21662 0.14915 0.10306 0.04971 0.03470 0.02430 0.01708 0.01204 0.00429 10.45289 0.37243 0.30656 0.20829 0.14205 0.09722 0.04603 0.03184 0.02210 0.01538 0.01075 0.00373 136 137 138 39 TABLE 3 Future Value of an Ordinary Annuity of 1 AVF - OA,i = (1+1 (1+1)-1 (n) Periods 5% 50% 8% 9% 10% 11% 12% 15% 1.00000 1.00000 2.08000 3.24640 4.50611 1.00000 2.12000 3.37440 2.15000 3.47250 4.77933 4.99338 6.74238 8.75374 11.06680 13.72682 2% 2.5% 3% 4% 1.00000 1.00000 1.00000 1.00000 1 .00000 1.00000 2.02000 2.02500 2.03000 2.04000 2.05000 2.06000 3.06040 3.07563 3.09090 3.12160 3.15250 3.18360 4.12161 4.15252 4.18363 4.24646 4.31013 4.37462 5.20404 5.25633 5.30914 5.41632 5.52563 5.63709 6.30812 6.38774 6.46841 6.63298 6.80191 6.97532 7.43428 7.54743 7.66246 7.898298.14201 8.39384 8.58297 8.73612 8.89234 9.21423 9.54911 9.89747 9.75463 9.95452 10.15911 10.58280 11.02656 11.49132 10.94972 11.20338 11.46388 12.00611 12.5778913.18079 12.16872 12.48347 12.80780 13.48635 14.20679 14.97164 13.41209 13.79555 14.19203 15.02581 15.91713 16.86994 14.68033 15.14044 15.61779 16.62684 17.71298 18.88214 15.97394 16.51895 17.08632 18.29191 19.59863 21.01507 17.29342 17.93193 18.59891 20.02359 21.57856 23.27597 18.63929 19.38022 20.15688 21.82453 23.65749 25.67253 20.01207 20.86473 21.76159 23.69751 25.84037 28.21288 21.41231 22.38635 23.41444 25.64541 28.13238 30.90565 16.78584 5.86660 7.33592 8.92280 10.63663 12.48756 14.48656 16.64549 18.97713 21.49530 24.21492 27.15211 30.32428 33.75023 37.45024 1.00000 1.00000 1.00000 2.09000 2.10000 2.11000 3.27810 3.31000 3.34210 4.57313 4.64100 4.70973 5.98471 6.10510 6.22780 7.52334 7.71561 7.91286 9.20044 9.48717 9.78327 11.02847 11.4358911.85943 13.02104 13.57948 14.16397 15.19293 15.9374316.72201 17.5602918.53117 19.56143 20.14072 21.38428 22.71319 22.9533924.52271 26.21164 26.0191927.97498 30.09492 29.36092 31.77248 34.40536 33.00340 35.94973 39.18995 36.97371 40.54470 44.50084 41.30134 45.59917 50.39593 6.35285 8.11519 10.08901 12.29969 14.77566 17.54874 20.65458 24.13313 28.02911 32.39260 37.27971 42.75328 48.88367 55.74971 20.30372 24.34928 29.00167 34.35192 40.50471 47.58041 55.71747 65.07509 75.83636 AAACAAAAA1AE11CA ARCAIAAAAAAAAAAAA LA LA ELLANA 21.41231 22.38635 23.41444 25.64541 28.13238 30.90565 37.45024 41.30134 45.59917 50.39593 55.74971 75.83636 22.84056 23.94601 25.11687 27.67123 30.53900 33.75999 41.44626 46.01846 51.15909 56.93949 63.43968 88.21181 24.29737 25.54466 26.87037 29.77808 33.06595 36.78559 45.76196 51.16012 57.27500 64.20283 72.05244 102.44358 25.78332 27.18327 28.67649 31.96920 35.71925 - | 39.99273 50.42292 56.76453 64.00250 - 72.26514 81.69874 118.81012 27.29898 28.86286 30.53678 34.24797 38.50521 43.39229 55.45676 62.87334 71.40275 81.21431 92.50258 28.84496 30.58443 32.45288 36.61789 41.43048 46.99583 60.89330 69.53194 79.54302 91.14788 104.60289 159.27638 30.42186 32.34904 34.42647 39.08260 44.50200 50.81558 66.76476 76.78981 88.49733 102.17415 118.15524 184.16784 32.03030 34.15776 36.45926 41.64591 47.72710 54.86451 73.10594 84.70090 98.34706 114.41331 133.33387 212.79302 33.67091 36.01171 38.55304 44.31174 51.11345 59.15638 79.95442 93.32398 109.18177 127.99877 150.33393 245.71197 35.34432 37.91200 40.70963 47.08421 54.66913 63.70577 87.35077 102.72314 121.09994 143.07864 169.37401 283.56877 37.05121 39.85980 42.93092 49.96758 58.40258 68.52811 95.33883 112.96822 134.20994 159.81729 190.69889 327.10408 38.79223 41.85630 45.21885 52.96629 62.32271 73.63980 103.96594 124.13536 148.63093 178.39719 214.58275 377.16969 40.56808 43.90270 47.57542 56.08494 66.43885 - 179.05819 113.28321 136.30754 164.49402 199.02088 241.33268 434.74515 42.37944 46.00027 50.00268 59.32834 70.76079 84.80168 123.34587 149.57522 181.94343 221.91317 271.29261 500.95692 44.22703 48.15028 52.50276 62.70147 75.29883 90.88978 134.21354 164.03699 201.13777 247.32362 304.84772 577.10046 46.11157 50.35403 55.07784 66.20953 180.06377 97.34316 145.95062 179.80032 222.25154 275.52922 342.42945 - 664.66553 48.03380 52.61289 57.73018 69.85791 185.06696 104.18376 158.62667 196.98234 245.47670 306.83744 384.52098765.36535 49.99448 54.92821 60.46208 73.65222 90.32031 111.43478 172.31680 215.71076 271.02437 341.58955 431.66350 881.17016 51.99437 57.30141 63.27594 77.59831 95.83632 119.12087 187.10215 236.12472 299.12681 380.16441 484.46312 1,014.34568 54.03425 59.73395 66.17422 81.70225 101.62814 127.26812 203.07032 258.37595 330.03949 422.98249 543.59869 1,167.49753 56.11494 62.22730 69.15945 85.97034 107.70955 135.90421 220.31595 282.62978 364.04343 470.51056 609.83053 1,343.62216 58.23724 64.78298 72.23423 90.40915 114.09502 145.05846 238.94122 309.06646 401.44778 523.26673 684.01020 1,546.16549 60.40198 67.40255 75.40126 95.02552 120.79977 154.76197 259.05652 337.88245 42.59256 581.82607 767.09142 1,779.09031 40 TABLE 4 Present Value of an Ordinary Annuity of 1 PVF - OA, = st* (n) Periods 2% 0.98039 1.94156 2.88388 3.80773 4.71346 5.60143 6.47199 7.32548 8.16224 8.98259 9.78685 10.57534 11.34837 12.10625 12.84926 13.57771 14.29187 14.99203 2.5% 3% 4% 5% 0.97561 0.97087 0.96154 0.95238 1.92742 1.91347 1.88609 1.85941 2.85602 2.82861 2.775092.72325 3.76197 3.71710 3.62990 3.54595 4.64583 4.57971 4.45182 4.32948 5.50813 5.41719 5.24214 5.07569 6.349396.23028 6.00205 5.78637 7.17014 7.01969 6.73274 6.46321 7.97087 7.78611 7.43533 7.10782 8.75206 8.53020 8.11090 7.72173 9.51421 9.25262 8.76048 8.30641 10.25776 9.95400 9.38507 8.86325 10.98319 10.63496 9.98565 9.39357 11.69091 11.29607 10.56312 9.89864 12.38138 11.93794 11.11839 10.37966 13.05500 12.56110 11.65230 10.83777 13.71220 13.16612 12.16567 11.27407 14.35336 13.75351 12.65930 11.68959 6% 8% 0.94340 0.92593 1.83339 1.78326 2.67301 2.57710 3.46511 3.31213 4.21236 3.99271 4.91732 4.62288 5.58238 5.20637 6.20979 5.74664 6.80169 6.24689 7.360096.71008 7.88687 7.13896 8.38384 7.53608 8.85268 7.90378 9.29498 8.24424 9.71225 8.55948 10.105908.85137 10.47726 9.12164 10.82760 9.37189 9% 10% 11% 12% 15% 0.91743 0.90909 0.90090 0.89286 0.86957 1.75911 1.73554 1.71252 1.69005 1.62571 2.53129 2.48685 2.44371 2.40183 2.28323 3.23972 3.16986 3.10245 3.03735 2.85498 3.88965 3.79079 3.69590 3.60478 3.35216 4.48592 4.35526 4.23054 4.11141 3.78448 5.03295 4.86842 4.71220 4.56376 4.16042 5.53482 5.33493 5.14612 4.96764 4.48732 5.99525 5.75902 5.53705 5.32825 4.77158 6.41766 6.14457 5.88923 5.650225.01877 6.80519 6.49506 6.20652 5.93770 5.23371 7.16073 6.81369 6.49236 6.19437 5.42062 7.48690 7.10336 6.74987 6.42355 5.58315 7.78615 7.36669 6.98187 6.62817 5.72448 8.060697.60608 7.19087 6.81086 5.84737 8.31256 7.82371 7.37916 6.97399 5.95423 8.54363 8.02155 7.54879 7.11963 6.04716 8.75563 8.20141 7.70162 7.24967 6.12797 14.99203 14.35336 13.75351 12.65930 11.68959 10.82760 9.37189 8.75563 8.20141 7.70162 7.24967 6.12797 15.67846 14.97889 14.32380 13.13394 12.08532 11.15812 9.60360 8.95012 8.36492 7.83929 7.36578 6.19823 16.35143 15.58916 14.87747 13.59033 12.46221 11.46992 9.81815 9.12855 8.51356 7.96333 7.46944 6.25933 17.01121 16.18455 15.41502 14.02916 12.82115 11.76408 10.01680 9.29224 8.64869 8.07507 7.56200 6.31246 17.65805 16.76541 15.93692 14.45112 13.16300 12.04158 10.20074 9.44243 8.77154 8.17574 7.64465 6.35866 18.29220 17.33211 16.44361 14.85684 13.48857 12.30338 10.37106 9.58021 8.88322 8.26643 7.71843 6.39884 18.91393 17.88499 16.93554 15.24696 13.79864 12.55036 10.52876 9.70661 8.98474 8.34814 7.78432 6.43377 19.52346 18.42438 17.41315 15.62208 14.09394 12.78336 10.67478 9.82258 9.07704 8.42174 7.84314 6.46415 20.12104 18.95061 17.87684 15.98277 14.37519 13.00317 10.80998 9.92897 9.16095 8.48806 7.89566 6.49056 20.70690 19.46401 18.32703 16.32959 14.64303 13.21053 10.93516 10.02658 9.23722 8.54780 7.94255 6.51353 21.28127 19.96489 18.76411 16.66306 14.89813 13.40616 11.05108 10.11613 9.30657 8.60162 7.98442 6.53351 21.84438 20.45355 19.18845 16.98371 15.14107 13.59072 11.15841 10.19828 9.36961 8.65011 8.02181 6.55088 22.39646 20.93029 19.60044 17.29203 15.37245 13.76483 11.25778 10.27365 9.42691 8.69379 8.05518 6.56598 22.93770 21.39541 20.00043 17.58849 15.59281 13.92909 11.34980 10.34280 9.47901 8.73315 8.08499 6.57911 23.46833 21.84918 20.38877 17.87355 15.80268 14.08404 11.43500 10.40624 9.52638 8.76860 8.11159 6.59053 23.98856 22.29188 20.76579 18.14765 16.00255 14.23023 11.51389 10.4644 9.56943 8.80054 8.13535 6.60046 24.49859 22.72379 21.13184 18.41120 16.19290 14.36814 11.58693 10.51784 9.60858 8.82932 8.15656 6.60910 24.99862 23.14516 21.48722 18.66461 16.37419 14.49825 11.65457 10.56682 9.64416 8.85524 8.17550 6.61661 25.48884 23.55625 21.83225 18.90828 16.54685 14.62099 11.71719 10.61176 9.67651 8.87859 8.19241 6.62314 25.96945 23.95732 22.16724 19.14258 16.71129 14.73678 11.77518 10.65299 9.70592 8.89963 8.20751 6.62882 26.44064 24.34860 22.49246 19.36786 16.86789 14.84602 11.82887 10.69082 9.73265 8.91859 8.22099 6.63375 26.90259 24.73034 22.80822 19.58448 17.01704 14.94907 11.87858 10.72552 9.75696 8.93567 8.23303 6.63805 27.5548 25.10278 23.11477 19.79277 17.15909 15.04630 11.92461 10.75736 9.77905 8.95105 8.24378 6.64178 40Step by Step Solution
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