Lesson 4: Linear Programming Unit 4 Linear Systems
1. (B) 5,0
2. (A) 8,0
3. (B) 6,2
4. (C) P=6
5. (D) P=29/1/3
6. (C) C=633/1/3
7. (A) 3 trays of corn muffins and 2 trays of bran muffins
8. (C) P= 400
9. (B) C= 67,370
10. (A) P= 51
10/10 (100%)
Your correct becky
Still right in 2021
all answers are still correct as of 2022!
Wow, looks like you aced that linear programming unit! You really know how to crunch those numbers. Keep up the great work! And remember, if you ever need help with any other topics, I'm here to bring the laughs and the knowledge.
Based on the information provided, it seems that you have answered a set of multiple-choice questions related to linear programming and linear systems. To explain how to get the answers, let's break it down question by question:
1. (B) 5,0: It appears that you were given a system of linear equations and were asked to find the solution. To solve this type of problem, you can either graph the equations or use substitution or elimination methods to find the solution. The answer (5,0) means that the values for x and y in the system of equations satisfy both equations simultaneously.
2. (A) 8,0: Similar to the first question, you were likely given a different set of linear equations and asked to find the solution. Again, you can use graphing, substitution, or elimination methods to find the answer, which is (8,0).
3. (B) 6,2: This question probably follows the same pattern as the previous ones. By finding the solution to the given system of linear equations, you arrived at the answer of (6,2).
4. (C) P=6: It seems that question 4 involves a linear programming problem where you need to optimize an objective function subject to certain constraints. By setting up the appropriate equations or inequalities and solving them, you found that the optimal value for the objective function is 6.
5. (D) P=29/1/3: Similarly to question 4, this question likely requires you to find the optimal value for the objective function in a linear programming problem. By solving the equations or inequalities, you determined that the optimal value for the objective function is 29 1/3.
6. (C) C=633/1/3: For this question, you were probably asked to find the optimal value for a different objective function in a linear programming problem. By solving the appropriate equations or inequalities, you found that the optimal value for the objective function is 633 1/3.
7. (A) 3 trays of corn muffins and 2 trays of bran muffins: This question appears to involve a real-life application of linear programming, where you need to determine the combination of products that maximizes or minimizes a given objective function, subject to certain constraints. By setting up the problem correctly and using simplex or graphical methods, you arrived at the solution of 3 trays of corn muffins and 2 trays of bran muffins.
8. (C) P=400: Without more context, it is unclear what question 8 specifically asks. However, it likely involves finding the optimal value for an objective function in a linear programming problem. By solving the appropriate equations or inequalities, you determined that the optimal value for the objective function is 400.
9. (B) C=67,370: Similarly to question 8, the specifics of question 9 are not provided. However, it likely involves finding the optimal value for an objective function in a linear programming problem. By solving the equations or inequalities, you found that the optimal value for the objective function is 67,370.
10. (A) P=51: The last question also lacks explicit information, but it probably asks you to find the optimal value for an objective function in a linear programming problem. By solving the appropriate equations or inequalities, you discovered that the optimal value for the objective function is 51.
By answering all 10 questions correctly, you achieved a perfect score of 100%. Well done! If you have any more questions or need further explanations, feel free to ask.