Question

A dormitory is being built for a capital cost of $1,850,000. It will last 75 years and is being financed at 8% per year. Variable costs are $1,200/student- year. Students are charged $15,000 per year for housing.

  1. Derive an equation for the revenue as a function of the capacity of the dormitory (students housed each year).
  2. Derive an equation for the cost as a function of students housed each year.
  3. Find the breakeven point (profit = 0).
  4. What is the profit if 50 students are housed in the dormitory?

A dormitory is being built for a capital cost of $1,850,000. It will last 75 years and is being financed at 8% per year. Vari

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Answer #1

Let n be the nor of laj 5J students Revenue = $15,000 & nou no. of students $ 15,oou n Interest cost - $1,850,000 x 0.08 = $1

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