Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

iRobot Company is analyzing two machines to determine which one it should purchase. Whichever machine is purchased will be replaced at the end of its useful life. The company requires a 14 percent rate of return and uses straight-line depreciation to a zero book value over the life of the machine. Machine A has a cost of $487,000, annual operating costs of $29,000, and a 6-year life. Machine B costs $315,000, has annual operating costs of $51,200, and a 4-year life. The firm currently pays no taxes. Which machine should be purchased and why

Sagot :

Answer:

Machine A should be purchased because it has a lower equivalent annual cost . Hence, it is cheaper.

Explanation:

Equivalent Annual cost is the Present Value of the total cost over the investment period divided by the appropriate annuity factor.

Step 1 : Equivalent Annual cost of Machine A

PV of cash flows

PV of purchase cost = 487,000

PV of annual operating  cost of $29,000

= 29,000× (1-(1+0.14)^(-6))/0.14

= 112,771.35

Total PV = 487,000 + 112,771.35= 599,771.35

Equivalent annual cost = 599,771.35 /3.889

Equivalent annual cost =  154,235.70

Step 2: Equivalent Annual cost of Machine B

PV of purchase cost = 315,000

PV of annual operating  cost of $51,200

= 51,200× (1-(1+0.14)^(-4))/0.14

= 149,182.07

Total PV = 315,000+ 149,182.07

=  464,182.07  

Equivalent annual cost =  464,182.07/2.9137

Equivalent annual cost =   159,309.51

Step 3: Compare equivalent Annual cost

Comparing the two equivalent costs, we conclude that Machine A should be purchased because it has a lower equivalent annual cost and therefore it is cheaper.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.