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Southwestern University (SWU), a large state college in Stephenville, Texas, 30 miles southwest of the Dallas/Fort Worth metroplex, enrolls close to 20,000 students. In a typical town-gown relationship, the school is a dominant force in the small city, with more students during fall and spring than permanent residents. A longtime football powerhouse, SWU\mathrm{SWU} is a member of the Big Eleven conference and is usually in the top 20 in college footpall rankings. To bolster its chances of reaching the elusive and ong-desired number-one ranking, in 2009, SWU hired the legendary Phil Flamm as its head coach. One of Flamm's demands on joining SWU had been a new stadium. With attendance increasing, SWU administrators began to face the issue head-on. After 6 months of study, much political arm wrestling, and some serious financial analysis, Dr. Joel Wisner, president of Southwestern University, had reached a decision to expand the capacity at its on-campus stadium.

Adding thousands of seats, including dozens of luxury skyboxes, would not please everyone. The influential Flamm had argued the need for a first-class stadium, one with built-in dormitory rooms for his players and a palatial office appropriate for the coach of a future NCAA champion team. But the decision was made, and everyone, including the coach, would learn to live with it.

The job now was to get construction going immediately after the 2015 season ended. This would allow exactly 270 days until the 2016 season opening game. The contractor, Hill Construction (Bob Hill being an alumnus, of course), signed his contract. Bob Hill looked at the tasks his engineers had outlined and looked President Wisner in the eye. "I guarantee the team will be able to take the field on schedule next year," he said with a sense of confidence. "I sure hope so," replied Wisner. "The contract penalty of $10,000\$ 10,000 per day for running late is nothing compared to what Coach Flamm will do to you if our opening game with Penn State is delayed or canceled." Hill, sweating slightly, did not need to respond. In football-crazy Texas, Hill Construction would be mud if the 270-day target was missed.

Back in his office, Hill again reviewed the data (see Table 3.6) and noted that optimistic time estimates can be used as crash times. He then gathered his foremen. "Folks, if we're not 75%75 \% sure we'll finish this stadium in less than 270 days, I want this project crashed! Give me the cost figures for a target date of 250 days also for 240 days. I want to be early, not just on time!"

TIME ESTIMATES (DAYS)
ACTIVITY DESCRIPTION PREDECESSOR(S) OPTIMISTIC MOST LIKELY PESSIMISTIC CRASH COST/DAY
A Bonding, insurance, tax structuring - 20 30 40 $1,500\$1,500
B Foundation, concrete footings for boxes A 20 65 80 3,500
C Upgrading skybox stadium seating A 50 60 100 4,000
D Upgrading walkways, stairwells, elevators C 30 50 100 1,900
E Interior wiring, lathes B 25 30 35 9,500
F Inspection approvals E 0.1 0.1 0.1 0
G Plumbing D,F 25 30 35 2, 500
H Painting G 10 20 30 2,000
I Hardware/AC/metal workings H 20 25 60 2,000
J Tile/carpet/windows H 8 10 12 6,000
K Inspection J 0.1 0.1 0.1 0
L Final detail work/cleanup I, K 20 25 60 4,500

What is the probability of finishing in 270 days?

Southwestern University (SWU), a large state college in Stephenville, Texas, 30 miles southwest of the Dallas/Fort Worth metroplex, enrolls close to 20,000 students. In a typical town-gown relationship, the school is a dominant force in the small city, with more students during fall and spring than permanent residents. A longtime football powerhouse, SWU\mathrm{SWU} is a member of the Big Eleven conference and is usually in the top 20 in college footpall rankings. To bolster its chances of reaching the elusive and ong-desired number-one ranking, in 2009, SWU hired the legendary Phil Flamm as its head coach. One of Flamm's demands on joining SWU had been a new stadium. With attendance increasing, SWU administrators began to face the issue head-on. After 6 months of study, much political arm wrestling, and some serious financial analysis, Dr. Joel Wisner, president of Southwestern University, had reached a decision to expand the capacity at its on-campus stadium.

Adding thousands of seats, including dozens of luxury skyboxes, would not please everyone. The influential Flamm had argued the need for a first-class stadium, one with built-in dormitory rooms for his players and a palatial office appropriate for the coach of a future NCAA champion team. But the decision was made, and everyone, including the coach, would learn to live with it.

The job now was to get construction going immediately after the 2015 season ended. This would allow exactly 270 days until the 2016 season opening game. The contractor, Hill Construction (Bob Hill being an alumnus, of course), signed his contract. Bob Hill looked at the tasks his engineers had outlined and looked President Wisner in the eye. "I guarantee the team will be able to take the field on schedule next year," he said with a sense of confidence. "I sure hope so," replied Wisner. "The contract penalty of $10,000\$ 10,000 per day for running late is nothing compared to what Coach Flamm will do to you if our opening game with Penn State is delayed or canceled." Hill, sweating slightly, did not need to respond. In football-crazy Texas, Hill Construction would be mud if the 270-day target was missed.

Back in his office, Hill again reviewed the data (see Table 3.6) and noted that optimistic time estimates can be used as crash times. He then gathered his foremen. "Folks, if we're not 75%75 \% sure we'll finish this stadium in less than 270 days, I want this project crashed! Give me the cost figures for a target date of 250 days also for 240 days. I want to be early, not just on time!"

TIME ESTIMATES (DAYS)
ACTIVITY DESCRIPTION PREDECESSOR(S) OPTIMISTIC MOST LIKELY PESSIMISTIC CRASH COST/DAY
A Bonding, insurance, tax structuring - 20 30 40 $1,500\$1,500
B Foundation, concrete footings for boxes A 20 65 80 3,500
C Upgrading skybox stadium seating A 50 60 100 4,000
D Upgrading walkways, stairwells, elevators C 30 50 100 1,900
E Interior wiring, lathes B 25 30 35 9,500
F Inspection approvals E 0.1 0.1 0.1 0
G Plumbing D,F 25 30 35 2, 500
H Painting G 10 20 30 2,000
I Hardware/AC/metal workings H 20 25 60 2,000
J Tile/carpet/windows H 8 10 12 6,000
K Inspection J 0.1 0.1 0.1 0
L Final detail work/cleanup I, K 20 25 60 4,500

If it is necessary to crash to 250 or 240 days, how would Hill do so, and at what costs? As noted in the case, assume that optimistic time estimates can be used as crash times.

Question

Southwestern University (SWU), a large state college in Stephenville. Texas, enrolls close to 20,000 students. The school is a dominant force in the small city, with more students during fall and spring than permanent residents.

Always a football powerhouse, SWU is usually in the top 20 in college football rankings. Since the legendary Phil Flamm was hired as its head coach in 2009 (in hopes of reaching the elusive number 1 ranking), attendance at the five Saturday home games each year increased. Prior to Flamm's arrival, attendance generally averaged 25,000 to 29,000 per game. Season ticket sales bumped up by 10,000 just with the announcement of the new coach's arrival. Stephenville and SWU were ready to move to the big time!

The immediate issue facing SWU, however, was not NCAA ranking. It was capacity. The existing SWU stadium, built in 1953, has seating for 54,000 fans. The following table indicates attendance at each game for the past 6 years.

One of Flamm's demands upon joining SWU had been a stadium expansion, or possibly even a new stadium. With attendance increasing, SWU administrators began to face the issue head-on. Flamm had wanted dormitories solely for his athletes in the stadium as an additional feature of any expansion.

SWU's president, Dr. Joel Wisner, decided it was time for his vice president of development to forecast when the existing stadium would "max out." The expansion was, in his mind, a given. But Wisner needed to know how long he could wait. He also sought a revenue projection, assuming an average ticket price of S50S 50 in 2016 and a 5%5 \% increase each year in future prices.

2010 2011 2012
GAME ATTENDEES OPPONENT ATTENDEES OPPONENT ATTENDEES OPPONENT
1 34,20034,200 Rice 36,10036,100 Miami 35,90035,900 USC
2a^a 39,80039,800 Texas 40,20040,200 Nebraska 46,50046,500 Texas Tech
3 38,20038,200 Duke 39,10039,100 Ohio State 43,10043,100 Alaska
4b4^b 26,90026,900 Arkansas 25,30025,300 Nevada 27,90027,900 Arizona
5 35,10035,100 TCU 36,20036,200 Boise State 39,20039,200 Baylor
2013 2014 2015
GAME ATTENDEES OPPONENT ATTENDEES OPPONENT ATTENDEES OPPONENT
1 41,90041,900 Arkansas 42,50042,500 Indiana 46,90046,900 LSU
2a^a 46,10046,100 Missouri 48,20048,200 North Texas 50,10050,100 Texas
3 43,90043,900 Florida 44,20044,200 Texas A8M 45,90045,900 South Florida
4b^b 30,10030,100 Central Florida 33,90033,900 Southern 36,30036,300 Montana
5 40,50040,500 LSU 4,8004,800 Oklahoma 49,90049,900 Arizona State

a^a Homecoming games. b^b During the fourth week of each season, Stephenville hosted a hugely popular southwestern crafts festival. This event brought tens of thousands of tourists to the town, especially on weekends, and had an obvious negative impact on game attendance.

Discuss the school's options.

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In this problem, we are asked to discuss what are available school options.

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