The Golf Course Requirement
Your company, F Design has been awarded the contract to build the new golf course in Town. The new golf course needs to configure to maximise golfer enjoyment and meet the town’s needs. You are the golf course architect and your boss has called on you for your modelling skills.
You will need to design an 18 hole course to fit within 42 acres of land. The shape of the 42 acres land is not a constraint. The golf course must be configure to maintain its natural beauty without cutting down trees. Hence, the golf hole should be built around the landscape.
A golfing hole is a section of a golf course. Each hole comprises an area called the tee from which golfers start each hole. Golfers strike the ball from the tee and are aiming to move the ball towards a cup at the other end of the hole. The cup is located somewhere on a green, a small area of grass cut short. In between the tee and the green is called the fairway. Golfers aim to keep the ball on the fairway (its not much fun trying to hit the ball in the trees or lakes on the edge of the fairway). Each strike of the ball is called a stroke. The objective of golfer is to use as few strokes as possible to get the ball into the cup.
The par of a hole is the number of strokes a golfer should use to move the ball from the tee to the cup. Golf courses usually have par three, four and five holes. A par three hole will require a three par to move the ball to the cup. Similarly four and five par with require four par and five par respectively. Par three hole is usually shorter than a par four hole. In addition, par four and five holes can have doglegs. A dogleg is a bend in the fairway roughly half way along the hole. A dogleg hole are holes that built around an obstruction on the land like trees, bushes and lakes. Doglegs add variety and difficulty to the golfing experience, and most courses usually have one or two.
Each hole will take up an area depending upon its length (indicated by par), presence of a dogleg and other factors.
A standard clubhouse is also to be built within the golf course. The standard clubhouse require a land size of 2 acres including parking and a construction cost of $350,000.
A recent international survey on golfer has revealed the following enjoyment index and estimated cost of building the par holes. The enjoyment index is a measure of golfer enjoyment and satisfaction with the golf design, play difficulty and facilities.
|Kind of hole
||Acreage taken by hole
|Straight Par 5
|Dogleg par 5
|Straight par 4
|Dogleg par 4
|Long par 3
|Short par 3
Based on the International golf course standard, the new golf course must also meet the following requirements. The course should have at least:
- a) One straight par 5,
- b) One dogleg par 5,
- c) Two straight par 4,
- d) Two dogleg par 4,
- e) One long par 3, and
- f) One short par 3.
- g) The course should have no more than 4 par 5.
- h) The course should have no more than 14 par 4.
- i) The course should have no more than 4 par 3.
- j) The total par must be between 70 and 72.
- k) The total number of holes must be exactly 18.
- l) The total acreage must be between 36 and 42 acres.
After some discussion with the business community and examine survey results across similar style golf course, The Golf group shareholders is considering an option to build an expanded clubhouse. The expanded clubhouse would add four enjoyability points. However, the expanded clubhouse will cost $500,000 and a land size of 4 acres including parking.
The Golf group has secured a $1.2 million funding from shareholders to construct the golf course.
The Golf group management has requested your company F Design to produce decision models that maximise the golfer enjoyment for the standard clubhouse and the expanded clubhouse. In particular, given the pressure from shareholders, the management wants to know with the constraints given can the expanded clubhouse be built?
If the expanded clubhouse cannot be constructed with the current constrains, the management request you to put forward three options for the expanded clubhouse for consideration. For the options, you may allow to change (1) the size of the clubhouse, (2) the construction cost of the clubhouse and, (3) the budget.
- The construction cost for the golf course is not the actual cost. It is purposely formulated for this case study only.
- The case study is written based on the assumption there is no solution for the expanded clubhouse.