Problem A construction company is planning their projects for the year 2021. The company is considering the construction of a certain number of 1,000 m buildings. In 2018, the company has built 5 similar buildings but with smaller areas, and the material costs associated with those 5 buildings are as shown in the following table: Building # Area (m2) Cost (JD) 85,200 89,800 92,400 95,100 97,500 1 2 3 4 5 680 727 760 790 825 The material cost index values are displayed in the following table: Year Cost index 2017 335 2018 345 2019 347 2020 350 2021 352 The company started to build 1,000 m buildings in 2019, and the project management team observed that 21,760 labor hours were needed to construct the first 1,000 m building; however, the number of labor hours per building decreased thereafter at a 93% learning slope. Use the 8 building as the basis for estimating the average labor hours per building and assume the 2021 average labor wage is JD 3.5 per hour. The company's fixed cost is $250,000 per year and the demand on the buildings (D) is governed by the following relationship: p = 228,000 - 1,400 D. where p is the selling price per building. (a) What is the range of profitable demand? (b) How many buildings should the company construct in 2021 in order to maximize its profit? () Based on the demand identified in part (b), what is the breakeven selling price per building? (d) How much profit will the company make in 2021 using the demand identified in part (b)? Problem A construction company is planning their projects for the year 2021. The company is considering the construction of a certain number of 1,000 m buildings. In 2018, the company has built 5 similar buildings but with smaller areas, and the material costs associated with those 5 buildings are as shown in the following table: Building # Area (m2) Cost (JD) 85,200 89,800 92,400 95,100 97,500 1 2 3 4 5 680 727 760 790 825 The material cost index values are displayed in the following table: Year Cost index 2017 335 2018 345 2019 347 2020 350 2021 352 The company started to build 1,000 m buildings in 2019, and the project management team observed that 21,760 labor hours were needed to construct the first 1,000 m building; however, the number of labor hours per building decreased thereafter at a 93% learning slope. Use the 8 building as the basis for estimating the average labor hours per building and assume the 2021 average labor wage is JD 3.5 per hour. The company's fixed cost is $250,000 per year and the demand on the buildings (D) is governed by the following relationship: p = 228,000 - 1,400 D. where p is the selling price per building. (a) What is the range of profitable demand? (b) How many buildings should the company construct in 2021 in order to maximize its profit? () Based on the demand identified in part (b), what is the breakeven selling price per building? (d) How much profit will the company make in 2021 using the demand identified in part (b)