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maria [59]
2 years ago
13

PROBLEM 5 You have to design the system interconnection network of a multicomputer system. Your choices are to use an Omega or a

Butterfly network. Your multicomputer system interconnection network has 4096 inputs and 4096 outputs. You have available 4x4 switches. Each switch costs $50.00. However, 4 combined 4x4 switches (for a 16x16 switch) cost $1500.00 each. You can use combined switches in Butterfly networks. Each interconnection line between switches costs $5.00. Which interconnection network configuration are you going to implement if the economic factor is the determining one
Business
1 answer:
irina1246 [14]2 years ago
5 0

Answer:

I will use the Omega network configuration if the economic factor is the determining one.

The total cost for the Omega network using the 4x4 switches will be $12,800, unlike the Butterfly network that can use the 16x16 switches that will cost $24,000.

Explanation:

The Omega network configuration will use the 4x4 switches which cost $50 each.  The total number of switches required = 4,096/16 = 256.  The total cost for 4x4 switches = 256 * $50 = $12,800.  This is better than the Butterfly network configuration that can use the 16x16 switch, costing $1,500 x 16 (4,096/256) = $24,000.

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Answer:

a. Year 0 Net Cash Flows = $984,000

b. We have:

Year 1 net operating cash flows = $306,159

Year 2 net operating cash flows = $332,986

Year 3 net operating cash flows = $261,479

c. Additional Year 3- cash flow = $504,877

d. The machine should be purchased.

Explanation:

We start by first calculating the following:

Initial Investment = Base Price + Modification Cost = $940,000 + $25,000 = $965,000

Useful Life = 3 years

Depreciation in Year 1 = 0.3333 * $965,000 = $321,634.50

Depreciation in Year 2 = 0.4445 * $965,000 = $428,942.50

Depreciation in Year 3 = 0.1481 * $965,000 = $142,916.50

Book Value at the end of Year 3 = $965,000 - $321,634.50 - $428,942.50 - $142,916.50 = $71,506.50

After-tax Salvage Value = Salvage Value - (Salvage Value - Book Value) * Marginal tax rate = $624,000 – ($624,000 - $71,506.50) * 25% = $485,877

Initial Investment in NWC = $19,000

We can now proceed as follows:

a. What is the Year 0 net cash flow?

Year 0 Net Cash Flows = Initial Investment + Initial Investment in NWC = $965,000 + $19,000 = $984,000

b. What are the net operating cash flows in Years 1, 2, 3?

Year 1 net operating cash flows = (Pretax Cost Saving * (1 - tax)) + (tax * Depreciation in year 1) = ($301,000 * (1 – 0.25)) + (0.25 * $321,634.50) = $306,159

Year 2 net operating cash flows = (Pretax Cost Saving * (1 - tax)) + (tax * Depreciation in year 2) = ($301,000 * (1 – 0.25)) + (0.25 * $428,942.50) = $332,986

Year 3 net operating cash flows = (Pretax Cost Saving * (1 - tax)) + (tax * Depreciation in year 3) = ($301,000 * (1 – 0.25)) + (0.25 * $142,916.50) = $261,479

c. What is the additional Year 3- cash flow (i.e. after tax salvage and the return of working capital)?

Additional Year 3- cash flow = NWC recovered + After-tax Salvage Value = $19,000 + $485,877 = $504,877

d. If the project's cost of capital is 12%, should the machine be purchased?

This can be determined from the net present value (NPV) calculated as follows:

NPV = -$984,000 + ($306,159/1.12^1) + ($332,986/1.12^2) + ($261,479/1.12^3) + ($504,877/1.12^3) = $100,287.71

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