Problem statement A construction company is planning their projects for the year 2023. The company is considering the construction of 20 buildings, each is 3,000 m². In 2018, they have built 8 similar buildings but with smaller areas, and the material costs associated with those 8 buildings are shown in the following table: Building # Area (m²) 1 2 3 4 5 6 7 8 1.430 1,475 1,655 1,790 1,961 2,015 2,375 2,533 Cost (S) 350,350 358,326 385,922 399,387 419,004 427,696 456,126 461,765

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Page 1 of 2 383 words
Problem statement
A construction company is planning their projects for the year 2023. The company
is considering the construction of 20 buildings, each is 3,000 m². In 2018, they have
built 8 similar buildings but with smaller areas, and the material costs associated
with those 8 buildings are shown in the following table:
Building #
1
2
3
4
5
6
7
8
Area (m²)
1,430
1,475
1,655
1,790
1,961
2,015
2,375
2,533
Cost ($)
350,350
358,326
385,922
399,387
419,004
427,696
456,126
461,765
909
Transcribed Image Text:Page 1 of 2 383 words Problem statement A construction company is planning their projects for the year 2023. The company is considering the construction of 20 buildings, each is 3,000 m². In 2018, they have built 8 similar buildings but with smaller areas, and the material costs associated with those 8 buildings are shown in the following table: Building # 1 2 3 4 5 6 7 8 Area (m²) 1,430 1,475 1,655 1,790 1,961 2,015 2,375 2,533 Cost ($) 350,350 358,326 385,922 399,387 419,004 427,696 456,126 461,765 909
The materials cost index values are as shown in the following table:
Year
Cost index
2017
321
2018
332
2019
348
2020
368
2021
379
2022
398
2023
406
In 2019, the company began constructing larger units (3,000 m² units compared to
those in 2018 as shown in the first table). The labor hours required to complete the
first 3,000 m² unit was 24,000 hours but the labor hours decreased exponentially
with time due to the experience gained by workers at a 90% learning slope until
reaching the 15th unit, after which a steady-state was reached. Assume the 2023
average labor wage is $20 per hour and the Company's fixed annual cost (overhead)
is $2,300,000.
(a) What is the breakeven selling price per unit?
(b) What is the selling price per unit assuming the company wishes to earn 10%
profit on top of the total costs incurred?
pa
Transcribed Image Text:The materials cost index values are as shown in the following table: Year Cost index 2017 321 2018 332 2019 348 2020 368 2021 379 2022 398 2023 406 In 2019, the company began constructing larger units (3,000 m² units compared to those in 2018 as shown in the first table). The labor hours required to complete the first 3,000 m² unit was 24,000 hours but the labor hours decreased exponentially with time due to the experience gained by workers at a 90% learning slope until reaching the 15th unit, after which a steady-state was reached. Assume the 2023 average labor wage is $20 per hour and the Company's fixed annual cost (overhead) is $2,300,000. (a) What is the breakeven selling price per unit? (b) What is the selling price per unit assuming the company wishes to earn 10% profit on top of the total costs incurred? pa
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