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Home Renovation Cost Estimator

Home Renovation Cost Estimator calculates total cost, cost per sq ft, and material efficiency based on scope, size, and quality.

Formulas Used in Home Renovation Cost Estimator

The calculator uses the following formulas to estimate renovation costs:

Total Cost:

\\[ C_t = S \cdot A \cdot M_q \cdot M_r \\]

Cost per Square Foot:

\\[ C_s = \frac{C_t}{A} = S \cdot M_q \cdot M_r \\]

Material Efficiency:

\\[ E_m = \min\left(100 \cdot \frac{1}{M_q \cdot M_r \cdot \sqrt{S / S_{\text{max}}}}, 100\right) \\]

Where:

  • \\( C_t \\): Total cost (USD)
  • \\( S \\): Project scope (USD/sq ft)
  • \\( A \\): Room size (sq ft)
  • \\( M_q \\): Material quality multiplier (Standard: 1.0, Premium: 1.5, Luxury: 2.0)
  • \\( M_r \\): Renovation type multiplier (Kitchen: 1.2, Bathroom: 1.5, Full Home: 1.0)
  • \\( C_s \\): Cost per square foot (USD/sq ft)
  • \\( E_m \\): Material efficiency (%)
  • \\( S_{\text{max}} \\): Maximum reference scope (100 USD/sq ft)

Example Calculations

Example 1: Small Kitchen Renovation, Standard Materials

Input: Project Scope = 50 USD/sq ft, Room Size = 100 sq ft, Material Quality = Standard, Renovation Type = Kitchen

\\[ C_t = S \cdot A \cdot M_q \cdot M_r = 50 \cdot 100 \cdot 1.0 \cdot 1.2 = 6000 \ \text{USD} \\] \\[ C_s = S \cdot M_q \cdot M_r = 50 \cdot 1.0 \cdot 1.2 = 60 \ \text{USD/sq ft} \\] \\[ E_m = \min\left(100 \cdot \frac{1}{M_q \cdot M_r \cdot \sqrt{S / S_{\text{max}}}}, 100\right) = \min\left(100 \cdot \frac{1}{1.0 \cdot 1.2 \cdot \sqrt{50 / 100}}, 100\right) = 58.93 \ \% \\]

Result: Total Cost: 6000 USD, Cost per Square Foot: 60 USD/sq ft, Material Efficiency: 58.93%

Example 2: Medium Bathroom Renovation, Premium Materials

Input: Project Scope = 100 USD/sq ft, Room Size = 50 sq ft, Material Quality = Premium, Renovation Type = Bathroom

\\[ C_t = S \cdot A \cdot M_q \cdot M_r = 100 \cdot 50 \cdot 1.5 \cdot 1.5 = 11250 \ \text{USD} \\] \\[ C_s = S \cdot M_q \cdot M_r = 100 \cdot 1.5 \cdot 1.5 = 225 \ \text{USD/sq ft} \\] \\[ E_m = \min\left(100 \cdot \frac{1}{M_q \cdot M_r \cdot \sqrt{S / S_{\text{max}}}}, 100\right) = \min\left(100 \cdot \frac{1}{1.5 \cdot 1.5 \cdot \sqrt{100 / 100}}, 100\right) = 44.44 \ \% \\]

Result: Total Cost: 11250 USD, Cost per Square Foot: 225 USD/sq ft, Material Efficiency: 44.44%

Example 3: Large Full-Home Renovation, Luxury Materials

Input: Project Scope = 150 USD/sq ft, Room Size = 2000 sq ft, Material Quality = Luxury, Renovation Type = Full Home

\\[ C_t = S \cdot A \cdot M_q \cdot M_r = 150 \cdot 2000 \cdot 2.0 \cdot 1.0 = 600000 \ \text{USD} \\] \\[ C_s = S \cdot M_q \cdot M_r = 150 \cdot 2.0 \cdot 1.0 = 300 \ \text{USD/sq ft} \\] \\[ E_m = \min\left(100 \cdot \frac{1}{M_q \cdot M_r \cdot \sqrt{S / S_{\text{max}}}}, 100\right) = \min\left(100 \cdot \frac{1}{2.0 \cdot 1.0 \cdot \sqrt{150 / 100}}, 100\right) = 40.82 \ \% \\]

Result: Total Cost: 600000 USD, Cost per Square Foot: 300 USD/sq ft, Material Efficiency: 40.82%

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