MIP1502 Assignment 3 Memo | Due 10 July 2026

, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY

 Question 1

1. Let n represent the number of packs printed and sold.

1.1. Write the expressions, in simplified form, for the following:

1.1.1. Total printing cost, C(n)

The printing shop charges:
 Fixed setup fee = R30
 R6 per pack

C(n)=30+6n
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1.1.2 Total income, I(n)

 Each pack is sold for R10.

I(n)=10n
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1.1.3 Profit, P(n)

Profit = Income − Cost
 P(n)=I(n)−C(n)
 =10n−(30+6n)
 =10n−30−6n

P(n)=4n−30
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1.2 Evaluate P(12) and interpret your answer.

Given:
 P(n)=4n−30

Substitute n=12:
 P(12)=4(12)−30
 =48−30
 =18

Answer:
 P(12)=18
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Interpretation:
If the club prints and sells 12 packs, they will make a profit of R18.