TRUE OR FALSE

A real estate developer is planning to build an office complex. Currently, there are three office sizes under consideration: small, medium, and large. Small offices can be rented for $600 per month, medium offices can be rented for $750 per month, and large offices can be rented for $1000 per month. Each small office requires 600 square feet, each medium office requires 800 square feet, and each large office requires 1000 square feet. The current plot of land available to the developer is 100,000 square feet. The developer wants to ensure that the office complex has at least 3 units of each office size. Moreover, zoning restrictions limit the total number of offices to 50. The complete linear programming model is:

Let:

X1 = no. of small offices to build

X2 = no. of medium offices to build

X3 = no. of large offices to build

Maximize: 600X1 + 750X2 + 1000X3

Subject to:

600X1 + 800X2 + 1000X3 100,000 (square footage)

X1 3

X2 3

X3 3

X1 + X2 + X3 50

X1, X2, and X3 0

True

False