Probability Question

Full Answer Section

4. Graphical LP Problem:

• No negative values: Can x1 and x2 be negative?

Once you provide these details, I can create accurate linear programming models for each problem. It's important to provide all relevant information to ensure the models correctly represent the real-world scenarios.

Sample Solution

I'd be glad to help you formulate the linear programming models for the given problems, but I'll need more information to provide accurate solutions. Please provide the following details:

1. Refinery Blending Process:

• Objective: Is it to maximize profit, minimize cost, or achieve some other goal?
• Additional constraints: Are there any restrictions on blending ratios, minimum/maximum output levels, or other factors?

2. Police Manpower Schedule:

• Overlap: Does a policeman starting in period 1 also work in period 2 (or later)?
• Rest/break requirements: Are there any mandated rest or break periods during the 8-hour shift?
• Scheduling restrictions: Are there any limitations on work schedules (e.g., consecutive shifts, maximum hours per day)?

3. Car Dealer Inventory:

• Budget constraint: Is the Rs. 20,000,000 budget the only constraint, or are there others (e.g., storage space)?
• Investment proportions: Does the 3:1:2:4 ratio apply to the total number of cars purchased, or to the amount spent on each type?