Abstract: In this case, the optimal design theory is applied to real estate development to meet the planning and environmental requirements.

Using linear programming theory, we can find the best development model with limited funds and get the greatest economic benefits.

First of all, the questions raised

A real estate development company in a city wants to develop a 17 open space, which is to be built, with a total area of 2500m2. The company originally planned to develop 1000 square meters of commercial buildings and 5250 square meters of residential buildings. Please determine whether it is the best development mode according to the following preconditions.

(1) According to the planning requirements: commercial houses are along the road, and the rest are brick-concrete houses. Commercial buildings are limited to 4 floors and residential buildings to 6 floors, with a plot ratio of 2.5 and a building density of ≤50%.

(2) The development date is199365438+February, and the completion time of the above-ground buildings shall not exceed one and a half years.

(3) According to the forecast, the average cost of commercial buildings in the year and a half after 1993 is 1400 yuan/m2, and the average cost of brick-concrete houses is 950 yuan, excluding land costs.

(4) After the building is completed, it is expected that all commercial buildings and residential buildings can be sold. At that time, the average selling price of commercial buildings was 2400 yuan per square meter, while the average selling price of residential buildings was per square meter 1700 yuan.

(5) The tax on the sale of real estate is 5% of the total.

(6) The company's investment shall not exceed 6.5 million yuan.

Second, modeling and solving.

Because the original variables-commercial building construction area and residential building construction area are * * *, they can be solved graphically.

(1) Total construction area:

2,500× 2.5 = 6,250 square meters

(2) The total area of building foundation:

2500× 50% =1250m2

(3) Profit per square meter of commercial buildings:

(0.24-0.14–0.24× 5%) = 0.088 (ten thousand/square meter)

(4) Profit per square meter of residential buildings:

(0.17-0.095–0.17× 5%) = 0.0665 (ten thousand/square meter)

(5) Formula

The construction area of the Commodity House is: the construction area of brick-concrete residence is.

Find and establish the objective function

Satisfy:

(6) Mark the constraint equation in the coordinate system (figure 1) to determine the feasible region.

(7) Making the isoline of the objective function. (Ci is a constant, take it at will)

As shown in the figure, it is an isoline with z = 250,300. It can be seen that point A (1250,5000) in the feasible region is the optimal solution. Namely.

ten thousand

(8) Conclusion:

The best development method of this real estate is:

A the commercial building area is1250m2, and each floor is 321.50m2. ..

B. Brick-concrete residential building covers an area of 5,000m2 and is divided into two buildings, each with 2,500m2,416.7m2. ..

C. The estimated profit is 4.425 million yuan. (Not counting the cost of land development)

Profit before application: z =1000× 0.088+0.0665× 5250 = 437.1(ten thousand).

Profit after application: Z = 442.5 (ten thousand)

Profit increase: 442.5 factory -437. 1 = 5.4 (ten thousand)

Percentage of profit increase: (442.5–437.1)/437.1×100% =1.24%.

It can be seen that the application of linear programming in real estate development is feasible and effective, and the economic effect is remarkable.