The Geostar Company, leading manufacturer of wireless communication devices, is considering three cost-reduction proposals in ts Setch job-shop manufacturing operations. The company hes already calculated rates of return for the three projects, along with some incremental retes of return, as given in Table. A denotes the do-nothing alternative. The required investments are $420,000 for A $550,000 for A and $720,000 for A . If the MARR is 15%, what system should be selected?

Incremental Investment Incremental Rate of Return (%)
A1- Ao 18
A2- Ao 20
A3- Ao 25
A2- A1 10
A3- A1 18
A3-A2 23

Alternative 3 will be selected.

Explanation:

The system that should be selected is the alternative that is better than the other alternatives by being higher than MARR if selected.

First compare A1 to A0

The rate of return here is 18% which is higher than the MARR of 15% so Alternative 1 should be chosen over A0 which is to do nothing.

Compare A1 to A2

If A2 is chosen over A1, the incremental return is 10% which is less than the MARR of 15% so A2 should not be chosen over A1. A1 should instead be chosen over A2.

Compare A1 to A3

If A3 is chosen over A1 then the incremental return would be 18%. This is higher than the MARR of 15% so Alternative 3 should be chosen over Alternative 1.

Alternative 3 should be chosen over A1 which should be chosen over A2 and A0.

A3 will therefore be selected.

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"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"

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