Linear Programming - Part 2

What is the primary purpose of Linear Programming?

• To analyze historical data trends.

• To find the optimum solution for a given problem.

• To create visual representations of data.

• To develop new programming languages.

What is the initial step in formulating a Linear Programming Problem?

• Solving the problem mathematically.

• Identifying the basic elements.

• Understanding the given problems.

• Converting the problem into a linear programming problem.

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A company produces two products, A and B. The cost of production for unit A is $200 and for unit B is $150. The total production budget is $50,000. If 'x' represents the number of units of A and 'y' represents the number of units of B, which mathematical expression correctly represents the budget constraint?

• 200x + 150y = 50,000

• 200x + 150y >= 50,000

• 200x + 150y <= 50,000

• x + y <= 50,000

For the company described, if each unit of product A yields a profit of $20 and each unit of product B yields a profit of $15, and 'z' denotes the total profit, what is the objective function to maximize profit?

• z = 20x - 15y

• z = 20x + 15y

• z = 200x + 150y

• z = x + y