Need help on Maximizing Profit

  • Thread starter XTerryX
  • Start date
In summary, the local Deli needs to maximize their profit on menu items based on labor rates. The three main sources of labor include cutting vegetables, assembling, and garnishing. Currently, the main menu items are submarine sandwiches and pasta salads, each yielding a profit of $1.50 and $1.75, respectively. The objective function of this scenario is to maximize the profit based on the number of submarine sandwiches and pasta salads made. The table includes the labor hours needed for each task for each food item. The optimal solution to this problem occurs when the Deli makes 7 submarine sandwiches and 5 pasta salads, with a total profit of $17.75. If the garnishing time for submarine sandwiches was reduced by 10
  • #1
XTerryX
1
0
Maximizing Profit

The local Deli needs to maximize their profit on menu items based on labor rates.
The three main sources of labor include i) cutting vegetables, ii) assembling, and iii) garnishing.
Currently, the main menu items are submarine sandwiches and pasta salads, each yielding a profit of
$1.50 and $1.75, respectively. Given that each task has 11, 9, and 7 hours of total labor effort available,
and given the following table, answer the following questions.

Sub Sandwiches(by the dozen) Pasta Salads(by the dozen)
Cutting Vegetables 0.5 hours 0.5 hours
Assembling 0.5 hours 0.75 hours
Garnishing 0.5 hours 0.75 hours


(1) Given that the store is trying to maximize their profit based on how many submarine sandwiches and
pasta salads they should make, determine the objective function of this scenario.

(2) Expand the table, and fill in any other necessary information needed to solve this
maximization problem.

(3) Use Excel Solver and generate an answer report to solve the problem.

(4) Did you find an optimal solution to the problem? When does it occur?

(5) Suppose the Deli speeded up their time for garnishing by 10 minutes for making submarine
sandwiches. How would your solution change? What if it speeded up by 15 minutes for submarine
sandwiches and slowed down by 15 minutes for pasta salads?

I haven't touched this stuff for a while, and my friend ask me for help. I am kinda lost, any help would be great (profit equation, etc...) Thanks.
 
Mathematics news on Phys.org
  • #2
Have you ever touched "linear programming"? It is rather a specialized field!

In any case, tell your friend to review all of the definitions relating to things like this, give it a good hard TRY and post what he has tried here. It is much easier to make useful suggestions if we can see what he does or doesn't know about this problem.
 
Last edited by a moderator:
  • #3
Assuming you must make the foods by the dozen, the problem is so small that it doesn't really need a solver at all -- it would be easy to test all possibilities in Excel, and not too hard by hand.

So what's hard for you? The problem seems straightforward -- an easy case of integer programming, as I read it.
 

What is the definition of maximizing profit?

Maximizing profit refers to the process of increasing the financial gain of a company or individual by finding the most efficient ways to generate revenue and minimize expenses.

Why is maximizing profit important?

Maximizing profit is important because it allows businesses to sustain themselves and grow over time. It also enables companies to invest in research and development, expand their operations, and create new jobs.

What are some strategies for maximizing profit?

Some common strategies for maximizing profit include increasing sales, reducing costs, optimizing pricing, and improving efficiency in operations. Other strategies may include diversifying products or services, expanding into new markets, and strategic partnerships.

What are the potential risks of maximizing profit?

The potential risks of maximizing profit include sacrificing quality for quantity, damaging customer relationships, and creating a negative impact on the environment or society. It is important for businesses to consider ethical and sustainable practices when implementing profit-maximizing strategies.

How can data analysis help with maximizing profit?

Data analysis can provide valuable insights into consumer behaviors, market trends, and operational inefficiencies, which can help businesses make informed decisions that lead to increased profits. By using data, companies can identify opportunities for growth and make strategic adjustments to improve their bottom line.

Similar threads

  • Calculus and Beyond Homework Help
Replies
3
Views
20K
  • Set Theory, Logic, Probability, Statistics
Replies
7
Views
8K
Replies
6
Views
2K
  • General Discussion
3
Replies
78
Views
9K
  • General Discussion
Replies
1
Views
8K
Replies
7
Views
29K
Back
Top