Situational Problem

Secondary Cycle Two Year One June 2008

The Amazing Race Board GameThe Amazing Race Board Game Context

Biophere, Montreal, Canada

Pentagon,

Washington,

USA

Giza Pyramid, Egypt

Parthanon,

Greece

Mt. Fuji, Japan

START

Name:

Group:

563-306 June 2008

Mt. Fuji, Japan

Parthenon, Greece

Giza Pyramid, Egypt

Biosphere, Montreal, Canada

Pentagon, Washington, USA

Time: 3 hours

Secondary Cycle Two Year One 563-306 Amazing Race Context Page 1

The Amazing Race BoaThe Amazing Race Board Gamerd Game

Biophere, Montreal, Canada

Pentagon,

Washington,

USA

Giza Pyramid, Egypt

Parthanon,

Greece

Mt. Fuji, Japan

START

The Amazing Race is a reality television game show, which features teams racing around the world in competition with other teams. Contestants strive to be the first to arrive at the end of each leg of the race to avoid elimination. Teams are progressively eliminated until three teams are left. At that point, the team that arrives first in the final leg is awarded a large cash prize. Contestants travel to many countries in search of clues that lead them to the next destination or direct them to perform a task. The producers of the reality series want to produce a three-dimensional board game based on the popular television show. They have offered you $1000 to help in the design and production of the game. They plan to make 500 games and need to determine how much it will

cost them. Knowing how much it costs them is important in determining what price they should charge for the game. You will be providing them with the design and the cost of producing the games. You have already done quite a bit of work on the design and pricing of various components and are now at the point where you have to finish the design work of the five locations included in the race. You want to ensure that all the 3-D models of the locations are similar to the original though not necessarily all to the same scale. These 3-D models will be solid and made out of plaster. The producers want to see a sketch of each model with the key measurements indicated. You will produce those drawings as well in support of your calculations. (On the following pages, you have all the details you need.) Afterwards, you will make a recommendation for the price they should charge per game. They would like to make at least a 15% profit. This would be easy to figure out if they knew they would sell all 500 copies of their game but some people are saying they would be lucky if they sold even 50 games! You will have to support your recommendation with a graph and/or chart so that if the producers do not like your recommendation they can at least use the work you did to come up with a different conclusion. On the next page, you will find the information required to do your calculations.

Certain measures have been rounded off and all the costs presented include taxes.

Secondary Cycle Two Year One 563-306 Amazing Race Context Page 1

First stop: The Parthenon, Greece

The Parthenon is a temple of the Greek goddess Athena built in the 5th century BC on the Acropolis of Athens. Regarded as an enduring symbol of ancient Greece and of Athenian democracy, the Parthenon is one of the world's greatest cultural monuments. The Parthenon model is made up of two solids: a rectangular prism topped by a triangular prism. The width of the model is 3.5 cm, the length of the model is 7.9 cm, and the height, at its tallest, is 1.6 cm. The height of just the rectangular prism is 1.2 cm.

Second stop: The Montreal Biosphere, Canada

Montreals Biosphere is a unique interactive museum whose intent is to raise awareness of the Saint-Lawrence River and the Great Lakes ecosystem. Built in 1967 as the American Pavilion at Expo 67, the structure had four platforms linked by a 37-metre long escalator, the longest ever built at the time. The structure is shaped like a sphere measuring 76 metres in diameter. As you can see in the picture at the left, it is not a complete sphere. The part that has been cut off represents 10% of its volume. In order to make the model, the dimensions of the Biosphere will be reduced by a scale factor of 1:2000. (Note: sketch the whole sphere with its appropriate dimension.)

Third stop: The Great Pyramid of Giza, Egypt

The square-based Pyramid of Giza is the oldest and largest of the three pyramids bordering Cairo, Egypt. It is believed to have been built as a tomb for the pharaoh Khufu and to have been constructed over a twenty-year period. It was the tallest structure in the world for over 3800 years at a height of 147.5 m. The model has a height of 3.2 cm and a slant height of 4 cm.

Fourth stop: Mount Fuji, Japan

Mount Fuji is a well-known, snow-capped symbol of Japan that is frequently depicted in art and photographs. More than 200,000 people climb to the top of Mt. Fuji in any given year and 30% of them are foreigners. It is the highest mountain in Japan at a height of 3376 metres. The model will be a conical figure with a diameter of five centimetres. The height of the replica is 1.25 10-5 times the actual height of the mountain.

Secondary Cycle Two Year One 563-306 Amazing Race Context Page 2

Final stop: The Pentagon, Washington

The Pentagon is the headquarters of the United States Department of Defence located in Virginia. It is the highest capacity office building in the world and the fourth largest building in the world by floor area. It is a regular pentagon that has five sides, five floors, and five rings per floor with a total of 28.2 kilometres of corridors. The total floor area of the pentagon is 117 000 m2. The length of each wall is 280 metres. The model should be 3 mm high. The area of the base of the model to the actual should respect the ratio of 1:100 000 000.

Costs and Requirements

You must determine what the cost is for producing 500 games. You will only need the materials listed below, but you will have to determine how much / many of each you will need.

Tubs of plaster (250 ml) $2.50 per tub

Player pieces 4 per game $0.50 each

Cards & Envelopes 20 sets per game $0.08 each

Dice 2 per game $0.10 each

Playing board (already printed) 1 per game $4.20 each

Box (already printed) 1 per game $2.50 each

Secondary Cycle Two Year One 563-306 Amazing Race Context

Name: ___________________

Before starting, make sure that you have all the important information needed in order to meet each requirement of this situation.

Parthenon: Biosphere:

Pyramid: Mt Fuji:

Pentagon: Costs: