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Mathematical Literacy control test 9 February 2025 QUESTION 4 Martha decides to start a new business venture and bake chocolate muffins. She sells the muffins for R25,00 each. Her only fixed cost is paying her 16 year old niece R500 a month to maintain the business social page. She calculated that the variable cost per muffin is R15,00. 4.1 Define the term fixed cost in the given context. (2) 4.2 Give any ONE variable cost for the Muffins business venture. (2) 4.3 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 (2) expenses? 4.4 Calculate the amount of profit that Martha will make if she sells 200 muffins. TOTAL:

Ask by Malone Tucker. in South Africa
Feb 26,2025

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4.1 Fixed cost is the R500 monthly payment to Martha’s niece. 4.2 An example of a variable cost is the cost of ingredients per muffin. 4.3 The point where income equals expenses is called the break-even point. 4.4 Martha will make a profit of R1500 when she sells 200 muffins.

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Below are the answers: 4.1 Fixed cost is a cost that does not change with the level of production. In this context, it is the monthly payment of R500 to Martha’s niece, which must be paid regardless of the number of muffins produced or sold. 4.2 One example of a variable cost is the cost of the ingredients (such as chocolate, flour, eggs, etc.) needed to make each muffin since these costs vary with the number of muffins baked. 4.3 The point where her income is equal to her expenses is called the break-even point. 4.4 To calculate the profit when selling 200 muffins, we have:   Sales revenue = 200 muffins × R25.00 = R5000   Total variable cost = 200 muffins × R15.00 = R3000   Fixed cost = R500 Thus, Profit = Sales revenue – (Variable cost + Fixed cost)   Profit = R5000 – (R3000 + R500) = R5000 – R3500 = R1500 So, Martha’s profit for 200 muffins is R1500.

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Fixed costs are the expenses that do not change with the level of production or sales, meaning they remain constant regardless of the number of muffins Martha bakes. In Martha's case, the R500 she pays her niece monthly to maintain the business social page qualifies as a fixed cost, as it must be paid regardless of how many muffins she sells. One variable cost associated with Martha's muffin business is the ingredients used to bake each muffin. This includes items like flour, sugar, chocolate, and eggs, which directly contribute to the cost per muffin, amounting to R15.00 per muffin in this scenario. As the production quantity increases, the total variable costs will also change accordingly.

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