Linear Programming

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

The baker at Tasty Tea Shoppe is going to make some coffee walnut cakes and some chocolate chip cakes. He has plenty of all the ingredients except for flour and sugar. He has only 12 kg of flour and 3.6 kg of sugar.

A coffee walnut cake uses 600 g of flour and 150 g of sugar.

A chocolate chip cake uses 400 g of flour and 300 g of sugar.

On a typical day the shop sells at least 12 cakes altogether.

This information is to be shown by shading unwanted regions on a graph. Let x be the number of coffee walnut cakes and y the number of chocolate chip cakes.

What inequality, in its simplest form*, describes the region showing possible combinations due to the amount of flour available?


CorrectWrong

What inequality, in its simplest form*, describes the region showing possible combinations due to the amount of sugar available?


CorrectWrong

What inequality describes the region showing at least 12 cakes being baked.


CorrectWrong

If you make a profit of £1.80 on each walnut cake cake and £1.60 on each chocolate chip cake find the maximum profit that the shop can make.

Maximum profit: £CorrectWrong

Check

*Simplest form means typing in the inequality so that all numbers are integers with no common factors (except 1).

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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

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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.

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