How much money does the dessert store make from selling three muffins and four cakes?

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In summary, the conversation discusses a problem involving the computation of an amount of money earned by a dessert store from selling muffins and cakes. The given expression, 2m + 10c, represents a mathematical function where the variables m and c represent the number of muffins and cakes sold, respectively. By plugging in the values for these variables, the total amount earned can be calculated. The conversation concludes with the success of the solution.
  • #1
Asawira Emaan
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Asalamoalaikum!
I was doing Algebra problems on Khan Academy. This problem isn't getting solved. Please help me with this.

"The expression 2m + 10c gives the amount of money, in dollars, a dessert store makes from selling mmm muffins and ccc cakes.
How much money does the dessert store make from selling three muffins and four cakes?"
 
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  • #2
Asawira Emaan said:
Asalamoalaikum!
I was doing Algebra problems on Khan Academy. This problem isn't getting solved. Please help me with this.

"The expression 2m + 10c gives the amount of money, in dollars, a dessert store makes from selling mmm muffins and ccc cakes.
How much money does the dessert store make from selling three muffins and four cakes?"

The given expression is a mathematical set of instructions for computing an amount. It tells us to multiply the number of muffins sold by 2, and to multiply the number of cakes sold by 10, and then to add these two products to get the total. We could say the amount \(A\) is a function of the number of muffins sold \(m\) and the number of cakes sold \(c\), and state it as follows:

\(\displaystyle A(m,c)=2m+10c\)

And so, given numeric data for the two variables \(m\) and \(c\), we may compute a number for \(A\):

\(\displaystyle A(3,4)=2(3)+10(4)=6+40=46\)

And so we conclude that by selling 3 muffins and 4 cakes, the store makes 46 dollars.

Does this make sense?
 
  • #3
MarkFL said:
The given expression is a mathematical set of instructions for computing an amount. It tells us to multiply the number of muffins sold by 2, and to multiply the number of cakes sold by 10, and then to add these two products to get the total. We could say the amount \(A\) is a function of the number of muffins sold \(m\) and the number of cakes sold \(c\), and state it as follows:

\(\displaystyle A(m,c)=2m+10c\)

And so, given numeric data for the two variables \(m\) and \(c\), we may compute a number for \(A\):

\(\displaystyle A(3,4)=2(3)+10(4)=6+40=46\)

And so we conclude that by selling 3 muffins and 4 cakes, the store makes 46 dollars.

Does this make sense?

Thanks a lot. Finally Khan Academy accepted my answer.
 

1. How is the profit calculated for selling three muffins and four cakes?

The profit for selling three muffins and four cakes is calculated by subtracting the cost of making the muffins and cakes from the total revenue generated by their sale. This will give the net profit, also known as the gross profit, which takes into account the cost of ingredients, labor, and other expenses related to making the desserts.

2. What is the average profit per muffin and cake?

To calculate the average profit per muffin and cake, you would divide the total profit generated by selling both items by the total number of muffins and cakes sold. This will give you the average profit per unit, which can help determine the profitability of each individual item.

3. How does the price of ingredients affect the profit of the dessert store?

The price of ingredients directly affects the profit of the dessert store. If the cost of ingredients increases, it will decrease the profit margin for each item sold. Therefore, it is important for the dessert store to carefully manage their ingredient costs in order to maintain a healthy profit margin.

4. What other factors can affect the profit of selling muffins and cakes?

Aside from ingredient costs and sales revenue, other factors that can affect the profit of selling muffins and cakes include labor costs, overhead expenses, and competition. Additionally, seasonal trends and consumer demand can also impact the profitability of these items.

5. Is there a recommended pricing strategy for maximizing profit from selling muffins and cakes?

There is no one recommended pricing strategy for maximizing profit from selling muffins and cakes, as it can vary depending on the specific market and competition. However, it is important for the dessert store to consider their costs and target market when setting prices, and to regularly review and adjust their pricing strategy to ensure it is effective in generating maximum profit.

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