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CHAPTER 3 - Educators

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110 <strong>CHAPTER</strong> 3/COST-ESTIMATION TECHNIQUES<br />

is 106.8. The average compound rate of growth<br />

should hold steady for the next 15 years. If<br />

an aircraft costs $10.2 million to build in 2006,<br />

what is its expected cost in 2008? State your<br />

assumptions. (3.3)<br />

3-13. Six years ago, an 80-kW diesel electric set cost<br />

$160,000. The cost index for this class of equipment six<br />

years ago was 187 and is now 194. The cost-capacity<br />

factor is 0.6. (3.4)<br />

a. The plant engineering staff is considering a 120kW<br />

unit of the same general design to power a<br />

small isolated plant. Assume we want to add a<br />

precompressor, which (when isolated and estimated<br />

separately) currently costs $18,000. Determine the<br />

total cost of the 120-kW unit.<br />

b. Estimate the cost of a 40-kW unit of the same<br />

general design. Include the cost of the $18,000<br />

precompressor.<br />

3-14. In a new 55-and-over gated community, light<br />

poles and underground cables need to be installed. It<br />

is estimated that 25 miles of underground cabling will<br />

be needed and that each mile of cabling costs $15,000<br />

(includes labor). A light pole is to be installed every<br />

50 yards, on average, and the cost of the pole and<br />

installation is $2,500. What is the estimated cost for the<br />

entire job? (3.4)<br />

3-15. In a building construction project, 7,500 feet<br />

of insulated ductwork is required. The ductwork is<br />

made from 14-gauge steel costing $8.50 per pound.<br />

The 24-inch-diameter duct weighs 15 pounds per<br />

foot. Insulation for the ductwork costs $10 per foot.<br />

Engineering design will cost $16,000, and labor to<br />

install the ductwork will amount to $180,000. What<br />

is the total cost of the installed ductwork for this<br />

project? (3.3)<br />

3-16. Four hundred pounds of copper go into a 2,000square-foot,<br />

newly constructed house. Today’s price<br />

of copper is $3.50 per pound. If the cost of copper is<br />

expected to increase 4.5% per year into the foreseeable<br />

future, what is the cost of copper going to be in a new<br />

2,400 square foot house 10 years from now. Assume the<br />

cost capacity factor for increases of copper in houses<br />

equals 1.0. (3.4)<br />

3-17. The structural engineering design section within<br />

the engineering department of a regional electrical<br />

utility corporation has developed several standard<br />

designs for a group of similar transmission line towers.<br />

The detailed design for each tower is based on one of the<br />

standard designs. A transmission line project involving<br />

50 towers has been approved. The estimated number<br />

of engineering hours needed to accomplish the first<br />

detailed tower design is 126. Assuming a 95% learning<br />

curve,<br />

a. What is your estimate of the number of engineering<br />

hours needed to design the eighth tower and to<br />

design the last tower in the project?<br />

b. What is your estimate of the cumulative average<br />

hours required for the first five designs? (3.4)<br />

3-18. The overhead costs for a company are presently<br />

$X per month. The management team of the company,<br />

in cooperation with the employees, is ready to implement<br />

a comprehensive improvement program to reduce<br />

these costs. If you (a) consider an observation of<br />

actual overhead costs for one month analogous to an<br />

output unit, (b) estimate the overhead costs for the<br />

first month of program implementation to be 1.15X<br />

due to extra front-end effort, and (c) consider a 90%<br />

improvement curve applicable to the situation, what<br />

is your estimate of the percentage reduction in present<br />

overhead costs per month after 30 months of program<br />

implementation? (3.4)<br />

3-19. In a learning curve application, 846.2 workhours<br />

are required for the third production unit and<br />

783.0 work-hours are required for the fifth production<br />

unit. Determine the value of n (and therefore s) in<br />

Equation (3-5). (3.4)<br />

3-20. You have been asked to estimate the cost of<br />

100 prefabricated structures to be sold to a local<br />

school district. Each structure provides 1,000 square<br />

feet of floor space, with 8-feet ceilings. In 1999, you<br />

produced 70 similar structures consisting of the same<br />

materials and having the same ceiling height, but<br />

each provided only 800 square feet of floor space.<br />

The material cost for each structure was $25,000 in<br />

1999, and the cost capacity factor is 0.65. The cost<br />

index values for 1999 and 2006 are 200 and 289,<br />

respectively. The estimated manufacturing cost for the<br />

first 1,000-square-foot structure is $12,000. Assume<br />

a learning curve of 88% and use the cost of the<br />

50th structure as your standard time for estimating<br />

manufacturing cost. Estimate the total material cost and<br />

the total manufacturing cost for the 100 prefabricated<br />

structures. (3.3, 3.4)<br />

3-21. The cost of building a supermarket is related<br />

to the total area of the building. Data for the last 10

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