T-Mart Corp. is planning to locate a store in a new shopping center being built in fast growing

section of town. The project manager assigned to the project wants to establish some guidelines for

the architect who will attempt to design a building layout to fit the companys specific needs. The

guidelines are to include the total number of square feet the store should contain overall, and how

many square feet should be custom tailored to the requirements of each of the store's three major

departments: Grocery, Clothing and Jewelry (assume there are no other departments). The architect

has indicated that construction of clothing space will cost $100 per square foot, jewelry space $300

per square foot, and grocery space $200 per square foot.

Since clothing will be the new store's merchandising specialty, the manager wants to make certain

that the clothing department gets at least twice as much floor space as the other two departments

combined. To maintain diversity, however, he wants each of the other departments to get at least 10

percent of the total store floor space. Total construction costs for the new store must be no more

than $1 million. Past records indicate that profit contribution per square foot per day are $.75 for

clothing departments, $.6 for jewelry departments, and $.80 for grocery departments.

Answer the following questions based on a linear programming formulation to determine how

many square feet should be devoted to each department to maximize revenues. (Note: Xc = square

feet devoted to clothing, Xj to jewelry, and Xf to furniture.)

Write the objective statement for this problem? (4 points)

Write the constraint statements for this problem have, excluding non-negativity restrictions (Hint:

there 4 constraint statements) (12 points)

What is the Minimum Cost or Maximum Profit for this problem (4 points)