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5.1.1 Calculate the variable cost for making one fat cake - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1

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5.1.1 Calculate the variable cost for making one fat cake. The costs of the ingredients needed to make one fat cake are as follows: - Bread flour: R0.70 - Sugar: R0... show full transcript

Worked Solution & Example Answer:5.1.1 Calculate the variable cost for making one fat cake - NSC Mathematical Literacy - Question 5 - 2016 - Paper 1

Step 1

Calculate the variable cost for making one fat cake.

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Answer

To determine the variable cost of making one fat cake, we add the cost of each ingredient along with the labor cost:

  • Bread flour: R0.70
  • Sugar: R0.75
  • Salt: R0.20
  • Instant yeast: R0.20
  • Water: R0.05
  • Oil for deep frying: R0.50
  • Labor cost: R0.25

Now calculate the total:

extVariableCost=0.70+0.75+0.20+0.20+0.05+0.50+0.25=R2.50 ext{Variable Cost} = 0.70 + 0.75 + 0.20 + 0.20 + 0.05 + 0.50 + 0.25 = R2.50

Step 2

Draw a straight line graph that represents the cost in ANSWER SHEET 1.

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Answer

Plot the total cost against the number of fat cakes:

  • Total cost for 0 fat cakes: R50
  • Total cost for 30 fat cakes: R125
  • Total cost for 60 fat cakes: R275
  • Total cost for 90 fat cakes: R350
  • Total cost for 120 fat cakes: R420
  • Total cost for 150 fat cakes: R460

In ANSWER SHEET 1, plot each point and connect them with a straight line.

Step 3

Use the graph or otherwise determine the number of fat cakes she must sell to breakeven.

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Answer

From the graph, identify the point where the total income equals the total cost. The breakeven point occurs at approximately 100 fat cakes, where income (R500) equals total cost (R500).

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