Final answer:
To analyze whether the concrete mixer should be replaced, we will use the EUAC measure and a MARR of 15%. The EUAC is calculated by summing the present values of all cash flows over the planning horizon and dividing it by the present value of an annuity factor. We will compare the EUAC values for the existing concrete mixer and the new concrete mixer to make a decision.
Step-by-step explanation:
Detailed Answer:
To analyze whether the concrete mixer should be replaced, we will use the EUAC (Equivalent Uniform Annual Cost) measure. The EUAC is calculated by summing the present values of all cash flows over the planning horizon, and then dividing it by the present value of an annuity factor. For the existing concrete mixer: the initial investment is 300,000, the annual O&M cost is 105,000, the salvage value is 5,000, and the planning horizon is 8 years. For the new concrete mixer: the initial investment is 375,000, the annual O&M cost is 40,000, the salvage value is 45,000, and the planning horizon is 8 years. Using a MARR (Minimum Attractive Rate of Return) of 15%, we can calculate the EUAC for both options and compare them to make a decision.
Insider's Viewpoint Approach (Cash Flow Approach):
For the existing concrete mixer, the present value of cash inflows is the salvage value of $65,000, and the present value of cash outflows is the initial investment of $300,000 plus the present value of annual O&M costs for 8 years ($105,000 per year). To calculate the EUAC, we need to find the present value of an annuity factor for 8 years and a MARR of 15%. By summing the present values of cash inflows and cash outflows and dividing it by the annuity factor, the EUAC for the existing concrete mixer is calculated. For the new concrete mixer, the present value of cash inflows is the salvage value of $45,000, and the present value of cash outflows is the initial investment of $375,000 plus the present value of annual O&M costs for 8 years ($40,000 per year). Using the same method, the EUAC for the new concrete mixer is calculated. Comparing the EUAC for both options will help determine whether the existing concrete mixer should be replaced.
Outsider's Viewpoint Approach (Opportunity Cost Approach):
For the existing concrete mixer, the present value of cash inflows is the salvage value of $65,000, and the present value of cash outflows is the initial investment of $300,000 plus the present value of annual O&M costs for 8 years ($105,000 per year). However, since the market value of the old mixer is $65,000, there is no additional cash inflow for the sale of the mixer. To calculate the EUAC, we need to find the present value of an annuity factor for 8 years and a MARR of 15%. By summing the present values of cash inflows and cash outflows (excluding the sale value of the mixer) and dividing it by the annuity factor, the EUAC for the existing concrete mixer is calculated. For the new concrete mixer, the present value of cash inflows is the salvage value of $45,000, and the present value of cash outflows is the initial investment of $375,000 plus the present value of annual O&M costs for 8 years ($40,000 per year). Using the same method, the EUAC for the new concrete mixer is calculated. Comparing the EUAC for both options will help determine whether the existing concrete mixer should be replaced.