A provincial park issues three different types of passes to its customers (bronze, silver, and gold tickets). Each pass type allows visitors to spend different times in the park and have access to different park amenities. The profit margins of the three pass types are $1.00, $3.50, and $12.00 per pass, respectively. The administrative working units required for the three pass types are estimated to be 1, 1, and 4 units, respectively. The monthly administrative working units available are 25000 units. In a typical summer month, the number of visitors was estimated to be 10,000 visitors. Accordingly, the park management decided to issue a total of 10,000 tickets for that month. Based on preliminary market research, the park management also decided to make at least 1500 bronze and 1500 silver passes available for customers. Based on this information, what is the optimal number of each pass type that the park should issue to maximize its profit? Use the simplex method to develop your solution.
A provincial park issues three different types of passes to its customers (bronze, silver, and gold tickets). Each pass type allows visitors to spend different times in the park and have access to different park amenities. The profit margins of the three pass types are $1.00, $3.50, and $12.00 per pass, respectively. The administrative working units required for the three pass types are estimated to be 1, 1, and 4 units, respectively. The monthly administrative working units available are 25000 units. In a typical summer month, the number of visitors was estimated to be 10,000 visitors. Accordingly, the park management decided to issue a total of 10,000 tickets for that month. Based on preliminary market research, the park management also decided to make at least 1500 bronze and 1500 silver passes available for customers. Based on this information, what is the optimal number of each pass type that the park should issue to maximize its profit? Use the simplex method to develop your solution.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
A provincial park issues three different types of passes to its customers (bronze, silver, and gold tickets). Each pass type allows visitors to spend different times in the park and have access to different park amenities. The
profit margins of the three pass types are $1.00, $3.50, and $12.00 per pass, respectively. The administrative working units required for the three pass types are estimated to be 1, 1, and 4 units, respectively. The monthly administrative working units available are 25000 units.
In a typical summer month, the number of visitors was estimated to be 10,000 visitors. Accordingly, the park management decided to issue a total of 10,000 tickets for that month. Based on preliminary market research , the park management also decided to make at least 1500 bronze and 1500 silver passes available for customers. Based on this information, what is the optimal number of each pass type that the park should issue to maximize its profit? Use the simplex method to develop your solution.
![Question 1
A provincial park issues three different types of passes to its customers (bronze, silver, and gold
tickets). Each pass type allows visitors to spend different times in the park and have access to
different park amenities. The profit margins of the three pass types are $1.00, $3.50, and $12.00
per pass, respectively. The administrative working units required for the three pass types are
estimated to be 1, 1, and 4 units, respectively. The monthly administrative working units available
are 25000 units.
In a typical summer month, the number of visitors was estimated to be 10,000 visitors.
Accordingly, the park management decided to issue a total of 10,000 tickets for that month. Based
on preliminary market research, the park management also decided to make at least 1500 bronze
and 1500 silver passes available for customers. Based on this information, what is the optimal
number of each pass type that the park should issue to maximize its profit? Use the simplex method
to develop your solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2b0faa-a69c-49ec-bdc4-17b77f040ccd%2F084b9c32-aa83-47f4-ac5f-25d15dbcf7e0%2Fz45aydl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
A provincial park issues three different types of passes to its customers (bronze, silver, and gold
tickets). Each pass type allows visitors to spend different times in the park and have access to
different park amenities. The profit margins of the three pass types are $1.00, $3.50, and $12.00
per pass, respectively. The administrative working units required for the three pass types are
estimated to be 1, 1, and 4 units, respectively. The monthly administrative working units available
are 25000 units.
In a typical summer month, the number of visitors was estimated to be 10,000 visitors.
Accordingly, the park management decided to issue a total of 10,000 tickets for that month. Based
on preliminary market research, the park management also decided to make at least 1500 bronze
and 1500 silver passes available for customers. Based on this information, what is the optimal
number of each pass type that the park should issue to maximize its profit? Use the simplex method
to develop your solution.
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