**Linear Programming Problem: Maximizing Detergent in Oil Blending**In this problem, the goal is to maximize the amount of detergent in oil blending using supplies from two suppliers, all while adhering to specific constraints.**Objective:**To find out how much oil should be sourced from each supplier to maximize the detergent content.**Given:**- Supplier I can provide a maximum of 48 gallons, each containing 3.6% detergent.- Supplier II can supply a maximum of 66 gallons, each with 3% detergent.- The total oil ordered should not exceed 100 gallons.**Options for Objective Function and Constraints:****A.**- **Objective:** Maximize $0.036x + 0.036y$- **Constraints:** - $x \leq 48$ - $y \leq 66$ - $x + y = 100$**B.**- **Objective:** Maximize $0.036x + 0.03y$- **Constraints:** - $0 \leq x \leq 48$ - $0 \leq y \leq 66$ - $x + y = 100$**C.**- **Objective:** Maximize $48x + 66y$- **Constraints:** - $x \geq 48$ - $y \geq 66$ - $0.036x + 0.03y \geq 100$**D.**- **Objective:** Maximize $48x + 66y$- **Constraints:** - $x \leq 48$ - $y \leq 66$ - $0.036x + 0.03y \leq 100$**Explanation of Diagram (if any):**No graph or diagram is provided in the text. Each option represents a different potential setup for the objective function and constraints in the linear programming model. The goal is to choose the correct setup that accurately represents the scenario described: maximizing the detergent with constraints on supply and total gallons.

Answered: State the linear programming problem in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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