1. A company produces widgets at a fixed cost of $1000 per month plus a variable cost of $2 per widget. If the company sells each widget for $5, how many widgets must they produce and sell in a month to break even?

2. A car rental company has a fleet of 50 cars, with an average mileage of 100,000 miles per car. If the company wants to replace all its cars with new ones with an average mileage of 30,000 miles, how many new cars must they purchase?

3. A construction company needs to build a bridge across a river that is 1000 meters wide. If the bridge must be at least 20 meters above the water, what is the minimum length of the bridge required?

4. A manufacturing company produces three products A, B, and C, with profit margins of $5, $8, and $10 per unit respectively. The company has a production capacity of 1000 units per day, and must produce at least 200 units of each product per day. What is the optimal production mix that maximizes profit?

5. A pharmaceutical company is developing a new drug that has a 70% chance of success. If the company invests $10 million in the development of the drug, what is the expected return on investment if the drug is successful and generates $100 million in revenue?

6. A bank offers a loan with an interest rate of 8% per year compounded monthly. If a person borrows $50,000 and pays back the loan in 5 years, what is the total amount of interest paid?

7. A trucking company has 20 trucks, each with a fuel capacity of 100 gallons. If the company wants to transport 200,000 gallons of fuel, how many trips must they make?

8. A company produces a product that has a demand curve of Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the company has a fixed cost of $5000 per month and a variable cost of $1 per unit produced, what is the optimal price that maximizes profit?

9. A software company has a team of 10 developers who work 8 hours per day. If the company wants to complete a project in 6 months that requires 15,000 developer-hours, how many additional developers must they hire to meet the deadline?

10. A company produces a product that has a lifecycle of 5 years, after which it becomes obsolete. If the company invests $1 million in the development of the product, what is the minimum price they must charge per unit to recoup the investment within the lifecycle of the product?

11. A city has a population of 1 million people and generates 10,000 tons of waste per day. If the city wants to reduce its waste generation by 50% within 5 years, what is the minimum percentage reduction required per year?

12. A manufacturing company produces two products, X and Y, that require different amounts of raw materials. Product X requires 2 units of raw material A and 3 units of raw material B, while product Y requires 1 unit of raw material A and 5 units of raw material B. If the company has 100 units of raw material A and 200 units of raw material B, what is the maximum profit that can be generated from the raw materials?

13. A hotel has 200 rooms and an occupancy rate of 80%. If the hotel increases its room rate by 10% and the occupancy rate drops to 70%, what is the change in revenue?

14. A company has a production line that can produce 100 units per hour. If the company wants to produce 10,000 units in a month, what is the minimum number of hours the production line must operate per day?

15. A company sells a product that has a warranty of 3 years. If the company has a return rate of 5% per year, what is the expected number of returns within the warranty period for a batch of 10,000 products?

16. A construction company is building a skyscraper that is 50 stories high. If each story is 4 meters high, what is the total height of the building in meters?

17. A company has a marketing campaign that generates leads at a cost of $10 per lead. If the company has a conversion rate of 5% and each converted lead generates $1000 in revenue, what is the return on investment for the marketing campaign?

18. A company has a stock of 500 units of a product that is expected to have a demand of 200 units per month. If the company places an order with a lead time of 2 months and a safety stock of 50 units, what is the optimal order quantity that minimizes the total cost of inventory?

19. A company has a website that generates 1000 clicks per day. If the company wants to increase its conversion rate from 1% to 2%, how many additional clicks per day are required to achieve the goal?

20. A person has a portfolio of stocks that has an expected return of 10% per year with a standard deviation of 5%. If the person wants to invest $50,000 and has a risk tolerance of 10%, what is the maximum amount of money that can be invested in stocks?