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Martha decides to start a new business venture and bake chocolate muftins. She sells the muffins for R2S,00 each. Her only fixed cost is paying her 16 ycar old niece R 500 a month to maintain the businese social page. She calculated that the variable cost per muffin is R15,00. Define the term fixed cost in the given context. .2 Give any ONE variable cost for the Muffins business venture. 3 Martha calculated that when she bakes 50 muffins her income will be equal to her expenses. What will this point be called on a graph representing her income and expenses? Calculate the amount of profit that Martha will make if she sells 200 muffins.

Ask by Summers Gibbs. in South Africa
Mar 09,2025

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1. **Fixed Cost**: The R500 monthly payment to Martha's niece is a fixed cost because it remains the same regardless of how many muffins she bakes. 2. **Variable Cost**: The cost per muffin, R15.00, is a variable cost as it changes with the number of muffins produced. 3. **Break-Even Point**: This is the point where Martha's income equals her expenses, represented by the intersection of the income and expenses lines on a graph. 4. **Profit Calculation**: - **Income**: \( 200 \times R25.00 = R5000 \) - **Variable Cost**: \( 200 \times R15.00 = R3000 \) - **Total Cost**: \( R500 + R3000 = R3500 \) - **Profit**: \( R5000 - R3500 = R1500 \) So, selling 200 muffins will give Martha a profit of R1500.

Solución

1. A fixed cost is an expense that does not change with the number of muffins produced. In this context, Martha’s monthly payment of R500 to her niece is a fixed cost because it must be paid whether she bakes 1 muffin or 200 muffins. 2. One variable cost is the cost incurred for each muffin baked. Here, the variable cost per muffin is R15.00. This means that every muffin produced adds a cost of R15.00. 3. The point where Martha’s income equals her expenses is called the break‐even point. On a graph of income and expenses, the break‐even point is where the two lines intersect. 4. To calculate the profit from selling 200 muffins, we perform the following calculations: - Selling price per muffin: \( R25.00 \) - Income from selling 200 muffins: \[ \text{Income} = 200 \times R25.00 = R5000 \] - Variable cost for 200 muffins: \[ \text{Total Variable Cost} = 200 \times R15.00 = R3000 \] - Total cost includes fixed cost plus variable cost: \[ \text{Total Cost} = \text{Fixed Cost} + \text{Total Variable Cost} = R500 + R3000 = R3500 \] - Profit is given by: \[ \text{Profit} = \text{Income} - \text{Total Cost} = R5000 - R3500 = R1500 \] Thus, if Martha sells 200 muffins, she will make a profit of R1500.

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Fixed costs are the regular, unchanging expenses that Martha must pay regardless of how many muffins she sells. In her case, this is the R500 monthly payment to her niece for managing the business's social page. These costs remain constant even if Martha bakes zero muffins in a month. One variable cost for Martha's muffin business is the ingredient cost for each muffin, which is R15,00. As the number of muffins she bakes increases, the total variable costs will also rise proportionately since more ingredients are needed for the additional muffins. The point where Martha's income equals her expenses when baking 50 muffins is called the break-even point. At this point, she is not making a profit or a loss, but covering all costs associated with producing the muffins. To calculate the profit from selling 200 muffins, we first need to determine the revenue and total costs. Selling each muffin at R2S,00 gives a total revenue of R2S * 200 muffins. The total variable cost for 200 muffins is R15 * 200 muffins, totaling R3,000. So, to calculate profit, you subtract the total costs (fixed costs + variable costs) from the income from sales. If she sells 200 muffins and her total income exceeds the combined costs, she's got a delicious profit coming her way!

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