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Examples

Exercise 6A

Exercise 6A Q1
  • 30 mins to make a box of gold
  • 20 mins to make a box of silver
  • 12 mins to pack gold
  • 15 mins to pack silver
  • Needs to be twice as many silver as gold
  • Gold will be sold at 80p profit
  • Silver will be sold at 60p profit
  • 300 hours avaliable to make the boxes
  • 200 hours avaliable to pack the boxes
  • \(3x+2y\leq1800\)
  • \(4x+5y\leq4000\)
  • \(2x\leq y\)
  • \(x, y\geq0\)
Exercise 6A Q2
  • Floral display \(\geq\) 30m long
  • A is 1m and costs £6
  • B is 1.5m and costs £10
  • At least twice as many A as B
  • At least 6 of B

    \(2B \leq A\)
    \(B\geq 6\)
    \(2A + 3B \geq 60\)
    \(x, y\geq0\)

Exercise 6B

Exercise 6B Q1


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