Question 1: Corporation X, which manufactures laptops would like to understand how many laptops it needs to produce within the next month. This company produces three types of laptops: Y-1, Y-2, and Y-3. Y-1 needs 150 days of labor and $5,000 raw materials, while Y-2 needs 400 days of labor and $12,000 raw materials, and Y-3 needs 350 days of labor and $8,000 raw materials. The plant has a capacity of 300,000 working days per month, and it has a $10 million material budget per month. While the profit contribution of Y-1 is $5,000, Y-2 is $15,000, and Y- 3 is $10,000. The company needs to produce at least 200 units of Y1, at least 100 units of Y2, and at most 300 units of Y3 each month. The main issue is to maximize the company's profits by identifying how many units of each laptop type should be produced each month. Present this information on a worksheet titled Question 1 showing your findings. Include your interpretation of the results to senior management. Use Solver and answer the following questions: 1. How many Y-1 should the company produce to maximize the profit? 2. How many Y-2 should the company produce to maximize the profit? 3. How many Y-3 should the company produce to maximize the profit? 4. Interpret the results you get from the Solver in a short paragraph. (e.g. you can mention which Laptop type is (not) profitable and why).