Question

A company is considering constructing a plant to manufacture a proposed new product. The land costs ​$​, the building costs ​$​, the equipment costs ​$​, and ​$ additional working capital is required. It is expected that the product will result in sales of ​$ per year for ​years, at which time the land can be sold for ​$​, the building for ​$​, and the equipment for ​$. All of the working capital would be recovered at the EOY . The annual expenses for​ labor, materials, and all other items are estimated to total ​$. If the company requires a MARR of ​% per year on projects of comparable​ risk, determine if it should invest in the new product line. Use the AW method.
a) The AW is $.........
b) According to the AW decision rule the investment in the new product line .. (is not/is) economically justified.

Answer 1

Complete question :

A company is considering constructing a plant to manufacture a proposed new product. The land costs $350,000, the building costs $600,000, the equipment costs $250,000, and $150,000 additional working capital is required. It is expected that the product will result in sales of $900,000 per year for 10 years, at which time the land can be sold for $450,000, the building for $400,000, and the equipment for $50,000. All of the working capital would be recovered at the EOY 10. The annual expenses for labor, materials, and all other items are estimated to total $500,000. If the company requires a MARR of 15% per year on projects of comparable risk, determine if it should invest in the new product line. Use the AW method.

Answer: $182,800

Explanation:

Given the following :

land costs = $350,000

building costs = $600,000

equipment costs = $250,000

additional working capital = $150,000

Expected sales per year for 10 years = $900,000

Salvage value After (10years):

Cost of land = $450,000

Building = $400,000

Equipment = $50,000

All working capital will be recovered at end of year, Hence, working capital will be $150,000

Annual expenses = $500,000

MARR = 15% per annum

Total amount invested = $(350,000 + 600,000 + 250,000 + 150,000) = $1,350,000

Expected sales per Annum = annual revenue = $900,000

Expenditure per year = $500,000

Net income = Revenue - Expenditure

Net income = $900,000 - $500,000 = $400,000

Worth or valuation of investment after 10 years :

($450,000 + $50,000 + $400,000 + $150,000)

= $1,050,000

Hence,

Capital recovery factor : (A/P, 15%, 10) = 0.199

Sinking fund table : (A/F, 15%, 10) =0.049

NET ANNUAL WORTH :

-Initial investment(A/P, 15%, 10) + annual net income + salvage value(A/F, 15%,10)

= - 1,350,000(0.199) + 400,000 + 1,050,000(0.049)

= $182,800

The investment is economically justified as the net annual worth yields a positive value.