Julian is interested in building a new house. Three architects have given him plans. The first plan is for a house that will be 2,250 square feet. The total cost of the house will be $281,250. The second plan is for a house that will be 2,400 square feet. The total cost of the second house will be $288,000. The third plan is for a house that will be 2,500 square feet. The total cost of the third house will be $305,000. If Julian wanted to choose the plan with the least expensive cost per square foot, which would he choose?
To determine which plan has the least expensive cost per square foot, we need to calculate the cost per square foot for each plan.
First, let's find the cost per square foot for each plan:
Plan 1: Cost of the house = $281,250, Area of the house = 2,250 square feet
Cost per square foot = Cost of the house / Area of the house = $281,250 / 2,250 = $125 per square foot
Plan 2: Cost of the house = $288,000, Area of the house = 2,400 square feet
Cost per square foot = Cost of the house / Area of the house = $288,000 / 2,400 = $120 per square foot
Plan 3: Cost of the house = $305,000, Area of the house = 2,500 square feet
Cost per square foot = Cost of the house / Area of the house = $305,000 / 2,500 = $122 per square foot
Now, we compare the cost per square foot for each plan:
Plan 1: $125 per square foot
Plan 2: $120 per square foot
Plan 3: $122 per square foot
Based on the calculations, Julian should choose Plan 2 as it has the least expensive cost per square foot at $120.