Plotting quadratic and cubic graphs – Outside the maths classroom Mastering Mathematics © Hodder and Stoughton 2014 Maximising profit Forward Quadratic graphs are either U-shaped or ∩-shaped. U-shaped graphs have a minimum value of y and ∩-shaped graphs have a maximum value of y. More Quadratic graphs are very useful in the manufacturing industry to help maximise profits. A company must decide how much to charge for an item. The cheaper the item is, the more they will sell. If they sell too few, they won’t make much money. If they sell a lot but too cheaply they won’t make much money. They must find the best price to charge. Conduct a survey to find out how much members of your class would pay for the latest mobile phone. © GoodMood Photo – Fotolia.com

Plotting quadratic and cubic graphs – Outside the maths classroom Mastering Mathematics © Hodder and Stoughton 2014 Martha is making some T-shirts to sell. The materials for each one costs her £3. She does some research. She thinks every year she could sell 500 – 40x T-shirts where £x is the price she charges. She sells 500 – (40 × 5) = 500 – 200 = 300 T-shirts. She makes (£5 – £3) = £2 profit on each one. So she makes 300 × £2 = £600 profit. 1.Martha charges £5. How much profit does she make in a year? Maximum values ForwardBackAnswerMore Calculate Martha’s profit for other selling prices. © GoodMood Photo – Fotolia.com

Plotting quadratic and cubic graphs – Outside the maths classroom Mastering Mathematics © Hodder and Stoughton 2014 Maximum values Martha is selling T-shirts. The materials cost £3. If she charges £5 she will make £600 per year. She draws a graph to show her profit for different selling prices. A price of £7.75 will give her a profit of just over £900 1.How much should Martha charge to make a profit? 2.How much profit does she make every year? BackAnswerMore Profit (£) Cost (£) Create a spreadsheet to work Martha’s profit for different selling prices.

Plotting quadratic and cubic graphs – Outside the maths classroom Mastering Mathematics © Hodder and Stoughton 2014 BackAnswerMoreForward Information 1.Task instructions More Answer Editable Teacher Template