Mathematics Problem

of the Week!

Designed to challenge student’s problem solving skills, critical thinking abilities, and mathematical reasoning

A ship is sailing towards a lighthouse. From its current position, the ship observes the lighthouse at an angle of elevation of 20 degrees. After sailing for two kilometers, the ship observes the lighthouse at an angle of elevation of 40 degrees. Determine the distance between the ship’s starting position and the lighthouse.

Solution

A manufacturing company produces two types of products: Product A and Product B. Each product requires a certain amount of raw materials and labor to manufacture. On a certain day, the company produces a total of 200 units of Product A and 150 units of Product B. The cost of raw materials per unit for Product A is $10, and for Product B is $15. Additionally, the labor cost per unit for Product A is $5, and for Product B is $8. Determine the total cost incurred by the manufacturing company on that day.