An architect is trying to decide what mix of single, double, and luxury rooms to include in a new hotel. Only $10 million is available for the project, and single rooms cost $40,000 to build, double rooms

$60,000, and luxury rooms $120,000 each. Business travelers (in groups of one or more) average 0.7 of single-room rentals, 0.4 of double-room rentals, and 0.9 of luxury room rentals. Family travelers occupy the remainder of each category. The architect would like her design to accommodate 100 total rooms for business travelers, but she would also like it to provide 120 total rooms for family travelers.

(a) Formulate a weighted goal LP to decide how many of each room to include in the design. Weight the business traveler goal twice as heavily as the family traveler goal.

(b) Enter and solve your goal program using class optimization software.