A town is planning to build a new bridge over a river. The bridge needs to be constructed in such a way that it connects two key points of the town, which are 500 meters apart across the river. The construction budget allows for a maximum expenditure of $200,000. The cost of constructing the bridge is calculated based on its length and the materials used. The cost per meter for construction is $250. Additionally, there are fixed costs associated with planning and legal permissions amounting to $25,000.

**Questions:**

**What is the total estimated cost of constructing the bridge?**

A) $150,000

B) $200,000

C) $150,000 plus fixed costs

D) $125,000 plus fixed costs

2. **If the town decides to extend the bridge by 100 meters for aesthetic reasons, will it stay within the budget?**

A) Yes

B) No

C) Only if they reduce the fixed costs

D) Cannot be determined

3. **How much of the budget is allocated for the fixed costs in percentage?**

A) 12.5%

B) 10%

C) 15%

D) 20%

4. **If the construction cost per meter is reduced to $200, how much will the town save on the bridge construction (excluding fixed costs)?**

A) $50,000

B) $75,000

C) $25,000

D) $100,000

## Answers

**Answer: D) $125,000 plus fixed costs**- Explanation: The construction cost is $250 per meter for a 500-meter bridge, which amounts to 500×250=$125,000. Adding the fixed costs of $25,000, the total cost is $125,000+$25,000=$150,000.

**Answer: A) Yes**- Explanation: Extending the bridge by 100 meters adds 100×250=$25,000 to the cost. The original cost is $150,000, so the new total would be $150,000+$25,000=$175,000 which is within the budget of $200,000.

**Answer: A) 12.5%**- Explanation: The fixed costs are $25,000, and the total budget is $200,000. The percentage is 25,000/200,000×100=12.5%.

**Answer: C) $25,000**- Explanation: The original cost per meter is $250, reduced to $200. The saving per meter is 250−200=$50. For a 500-meter bridge, the total saving is 500×50=$25,000.

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