A manufacturing company wants to maximize profits on products A,B, and C. The profit margin is $3 for A, $6 for B, and $15 C. The production requirements and departmental capacities are as follows:
DEPARTMENT Prod. Requirements Dept. Capacity
A B C (total hours)
assembling 2 3 2 30,000
painting 1 2 2 38,000
finishing 2 3 1 28,000
What is the maximum profit?
What is the maximum profit if the profit margin of C changes to $10.00?
SORRY THIS IS SO LONG BUT I DESPERATELY NEED HELP:(
https://www.google.com/search?q=A+manufacturing+company+wants+to+maximize+profits+on+products+A%2CB%2C+and+C.+The+profit+margin+is+%243+for+A%2C+%246+for+B%2C+and+%2415+C.+The+production+requirements+and+departmental+capacities+are+as+follows%3A+&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a
Isn't this a cumulative test question?
He changed it a bit. The last 2 questions is different from anything on google! help?
Aren't you supposed to have LEARNED this??
isn't this a place to ASK FOR HELP?
geez. im sorry i have a bad teacher...
We're glad to HELP. But you haven't said what you don't understand
You are asking for someone to help you on a cumulative test question. The purpose of that is to evaluate do you know the material. I am not certain how we can help. YOu see similar questions with work, where others have use cheat sites already with the same teacher. You certainly should be able to use those to understand. We are not going to do it for you.
If I were you, tell the teacher he is a bad teacher. I wonder if he has an alternative explanation for your progress.
Good luck.
How do i find the maximum profit? I should be able to do the other question. Im just confused on how to set it up. I get maximization, but this problem confuses me on how to set it up in the standard form.
^^^ That's how you can help :( please..
You guys are more worthless than the teacher who isn't teaching her.
To determine the maximum profit, we can use linear programming to optimize the production quantities of products A, B, and C based on the given production requirements and departmental capacities.
Step 1: Define the decision variables
Let's denote the production quantities of products A, B, and C as x, y, and z, respectively.
Step 2: Formulate the objective function
The objective is to maximize the profit, so we need to maximize the total profit. The profit for product A is $3, for product B is $6, and for product C is $15. Therefore, the objective function can be expressed as:
Profit = 3x + 6y + 15z
Step 3: Formulate the constraints
We need to consider the production requirements and departmental capacities as constraints. The constraints can be written as follows:
Assembling:
2x + 3y + 2z ≤ 30,000
Painting:
x + 2y + 2z ≤ 38,000
Finishing:
2x + 3y + z ≤ 28,000
Non-negativity:
x, y, z ≥ 0
Step 4: Solve the linear programming problem
Using an optimization software or tool, solve the linear programming problem with the objective function and constraints formulated in the previous steps. The software will provide the optimal values for x, y, and z that maximize the profit.
Once the linear programming problem is solved, the maximum profit can be obtained.
To determine the maximum profit if the profit margin of C changes to $10.00, you would need to repeat steps 1 to 4 with the updated profit margin. The updated objective function would be:
Profit = 3x + 6y + 10z
By solving the problem again, you will obtain the new maximum profit considering the updated profit margin for product C.