Highlights
Question 1 – Landscaping Project - 14% out of 45%
As part of an urban redevelopment, a new civic centre complex is going to be constructed. The new building features some irregularly shaped exterior features and will involve significant landscaping. The plan of the new building and gardens is illustrated below.
All garden beds will be mulched except for defined areas around the base of each plant species, the pond, and the paths. The landscaping team must choose between two different types of mulch.
Owing to budget constraints, local authorities have decided that they can only afford to spend a maximum of $21,000 to rejuvenate and replace the mulch a certain number of times within a ten year budget cycle.
Task Using the information given (and the diagram on the next page) calculate the total volume of mulch to be purchased and determine which type of mulch would be most cost-effective over a maintenance period of ten years.
Useful information
• Landscaping information
• Plant species A is a large tree, with an overhanging canopy 2.4m across
• Plant species B is circular and has a diameter of 1.4 metres
• Plant species C is circular and has a diameter of 0.8 metres
• The circular pond (blue) has a diameter 1.6 metres
• Mulch Information
• Mulch will be spread so that it is 0.15m deep.
• Type 1: Degrades completely after 18 months. Cost $92.00 per cubic metre.
• Type 2: Degrades completely after 14 months. Cost $80.00 per cubic metres.
• A budget for mulch replacement is set at $21 000 per decade.
Steps to help answer this question
• Calculate the area of the building, pathways and garden beds separately.
• Use the calculated areas to determine the area of the garden that needs to be mulched.
• Calculate the volume of mulch required and use this to determine the cost of each mulch to cover the garden area.
• Determine the replacement frequency of each type of mulch and calculate the total cost of replacing each mulch over the ten year maitenance period.
• Compare which mulch will come under the designated ten year budget and be most cost effective.
• Discuss the assumptions/decisions you made when doing the calculations and the relevance to real-world problem-solving.
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