question archive (30 blarks) A computing corporation is considering updating its automated inventory control system
Subject:EconomicsPrice:9.82 Bought3
(30 blarks) A computing corporation is considering updating its automated inventory control system. The supplier has estimated the ?rst cost as $2 300 000 and the annual savings as 5880 000; after its 10—year life, it will have a salvage value of $200 000. The tax rate is 45 percent and the company uses an after—tax RIARR of 10 percent. (Hint: Look up the CCA class and depreciation rate in the course slides) a) What is the present worth of the new system? b) Should the corporation make this investment?

a) The present worth of the new system is $1,540,000.
b) ICC should make this investment, as present worth of the new system is positive.
Step-by-step explanation
a) CSF =1- (0.45 x 0.3)/(0.10 +0.3) = 0.6625
CTF=1- [(0.45) x (0.3) x (1 + 0.10/2)]/ ((O.10+ 0.3) x (1 +0.10)) = 0.645625
The present worth of the inventory system is then:
PW=-2,300,000 x CTF + 880,000 x (1 - 0.45) x (P/A, 10%, 10)
+200,000 x CSFx (P/F; 10%, 10)
=-2,300,000 x 0.6456 + 880,000 x 0.55 x 6.1446 + 200,000x 0.6625 x 0.38554
=1,540,133 =1,540,000
The present worth of the new system is $1,540,000.
(b) ICC should make this investment, as present worth of the new system is positive.

