Linear Programming

Inequalities Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Graphs

You are wealthy property investor and you wish to build a hotel with no more than 20 rooms. Market research has shown that you should have at least 7 single rooms and at least 10 double rooms.

This information is to be shown by shading unwanted regions on a graph. Let x be the number of single rooms and y the number of double rooms.

What inequality describes the region showing at least 7 single rooms?


CorrectWrong

What inequality describes the region showing at least 10 double rooms?


CorrectWrong

What inequality describes the region showing no more than 20 rooms in total?


CorrectWrong

The hotel rooms will cost £80 per single per night and £120 per double per night.

What combination of single and double rooms should be built, so that the nightly income is maximised?

Number of single rooms: CorrectWrong   Number of double rooms CorrectWrong

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Inequalities - A drag and drop inequality graph exercise

Level 1 - A question about building a new hotel with single and double rooms

Level 2 - A question about baking cakes with limited ingredients

Level 3 - A taxi company wants to transport the maximum number of passengers

Level 4 - A draft policy for selecting young people to attend the next World Scout Jamboree

Level 5 - A senior student does some jobs for neighbours to earn some pocket money

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Graphs including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help

The Plot button colours in the unwanted region leaving the required region white.

A solid line means the required region does include the points on the line. A dotted line means the required region does not include the points on the line

The video above is from Andrew Chambers.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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