Problem 26-4A Jane's Auto Care is considering the purchase of a new tow truck. The garage doesn't currently have a tow truck, and the $60,000 price tag for a new truck would represent a major expenditure. Jane Austen, owner of the garage, has compiled the estimates shown below in trying to determine whether the tow truck should be purchased Initial cost Estimated useful life Net annual cash flows from towing Overhaul costs (end of year 4) Salvage value $60,000 8 years $8,030 $5,980 $12,000 Jane's good friend, Rick Ryan, stopped by. He is trying to convince Jane that the tow truck will have other benefits that Jane hasn't even considered. First, he says, cars that need towing need to be fixed. Thus, when Jane tows them to her facility, her repair revenues will increase. Second, he notes that the tow truck could have a plow mounted on it, thus saving Jane the cost of plowing her parking lot. (Rick will give her a used plow blade for free if Jane will plow Rick's driveway.) Third, he notes that the truck will generate goodwill; people who are rescued by Jane's tow truck will feel grateful and might be more inclined to use her service station in the future or buy gas there. Fourth, the tow truck will have "Jane's Auto Care on its doors, hood, and back tailgate-a form of free advertising wherever the tow truck goes. Rick estimates that, at a minimum, these benefits would be worth the following Additional annual net cash flows from repair work Annual savings from plowing Additional annual net cash flows from customer "goodwill" Additional annual net cash flows resulting from free advertising $2,990 740 1,010 750 The company's cost of capital is 9% Calculate the net present value, ignoring the additional benefits described by Rick. (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answer to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Net present value Should the tow truck be purchased? The tow truck be purchased Calculate the net present value, incorporating the additional benefits suggested by Rick. (If the net present value is negative, use either a negative sign preceding the number eg 45 or parentheses eg (45). Round answer to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Net present value Should the tow truck be purchased? The tow truck be purchased. Suppose Rick has been overly optimistic in his assessment of the value of the additional benefits. At a minimum, how much would the additional benefits have to be worth in order for the project to be accepted? (Round answer to decimal places, e.g. 125.) Present value of the intangible benefits TABLE 3Present Value of 1 (n) Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 15% 96154 .95238.94340 .93458 .92593 .91743 .90909 .90090 .89286 .86957 92456 .90703 .89000 .87344 .85734 .84168 .82645.81162.79719 .75614 88900.86384 .83962 .81630 .79383 .77218.75132 .73119.71178 .65752 85480.82270 .79209 .76290 .73503 .70843 .68301.65873.63552 .57175 82193.78353 .74726.71299 .68058 .64993.62092 .59345.56743 49718 .79031 .74622 .70496 .66634 .63017 .59627 .56447 .53464 .50663 .43233 75992 .71068 .66506 .62275.58349 .54703 .51316 .48166 45235 37594 .73069 .67684 .62741 .58201 .54027 .50187 .46651 .43393 .40388 .32690 70259 .64461.59190 .54393 .50025 46043 .42410 .39092 .36061 .28426 67556 .61391 .55839 .50835 .4631942241 .38554 .35218.32197.24719 64958 .58468 .52679 .47509 42888.38753 .35049.31728 .28748 21494 62460 .55684 .49697.44401.39711 .35554 .31863 .28584.25668 .18691 60057 .53032 46884 .41496 .36770 .32618 .28966 .25751.22917.1625:3 .57748 .50507.44230 .38782 .34046 .29925 .26333 .23199.20462 .14133 .55526 .48102 41727 .36245 .31524 .27454 .23939 .20900 .18270 .12289 .53391 .45811 .39365 .33873 .29189 .25187 .21763 .18829 .16312 .10687 51337 43630 .37136 .31657 .27027 .23107 .19785 .16963.14564 .09293 49363 .41552 .35034 .29586 .25025 .21199 .17986 .15282.13004.08081 47464.39573 .33051 .27615 .23171 .19449.1635 .13768 .11611 07027 45639 .37689 31180 25842 .21455 .17843 .14864 .12403 .10367 .06110 4 10 12 13 14 15 17 19 20