Worked Example 1

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Worked Example 2

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Exercise 1

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Exercise 4.

Problem 4

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At a certain shop, CDs cost £10 and tapes cost £8. Andrew goes into the shop with £40 to spend.

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(a) If x = number of CDs y = number of tapes. Explain why: 10x + 8y ≤ 40

(b) Explain why x ≥ 0 and y ≥ 0

(c) Draw a graph to show the region which satisfies all three inequalities.


Problem 5

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A security firm employs people to work on foot patrol or in cars. At most 12 people are employed, with at least 2 on foot patrol and at least 1 in a car.

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