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How much should the interior designer budget for the 350 ft of full-height partition, considering it costs $45/ft to construct such a partition and the contractor's overhead and profit are estimated at 14%?

  1. $9,450

  2. $10,055

  3. $17,950

  4. $18,530

The correct answer is: $17,950

To figure out how much the interior designer should budget for the full-height partition, it's essential to calculate both the construction cost and the added overhead and profit percentage from the contractor. First, calculate the base cost of constructing the partition. The cost to construct is given as $45 per foot, and the total length of the partition is 350 feet. This calculation will give you the construction costs: \( 350 \text{ ft} \times 45 \text{ USD/ft} = 15,750 \text{ USD} \). Next, incorporate the contractor's overhead and profit, which are estimated at 14%. To do this, multiply the construction cost by the overhead and profit percentage: \( 15,750 \text{ USD} \times 0.14 = 2,205 \text{ USD} \). Now, add this overhead and profit to the original construction cost to determine the total budget required: \( 15,750 \text{ USD} + 2,205 \text{ USD} = 17,955 \text{ USD} \). Rounding to the nearest whole number, this total comes out to approximately 17,950 USD, making the budget for the interior designer closest