Answer:
A. Estimate the apartment rental demand curve assuming that it is linear and that price is expressed as a function of output.
the demand curve's slope = -10 / 1 = -10
demand curve = a - 10b
since all 100 units will be rented when p = $900
900 = a - 10(100)
900 = a - 1,000
1,900 = a
demand curve = 1,900 - 10b
B. Calculate the revenue-maximizing apartment rental rate. How much are these maximum revenues
we must first fin total revenue and then find hte derivative
total revenue = p x a
total revenue = (1,900 - 10a) x a
total revenue = 1,900a - 10a²
revenue maximizing quantity' = 1,900 - 20a
20a = 1,900
a = 95 apartments rented
price = 1,900 - (95 x 10) = $950
total revenue = $950 x 95 = $90,250
