A baker decorates $x$ small cakes and $y$ large cakes. Over the course of one day, he decorates:
• at most 16 small cakes
• fewer than 10 large cakes
• more small cakes than large cakes
• no more than 24 cakes altogether.
One inequality that represents this information is $x \leq 16$.
(a)[3]
Write down the remaining three inequalities in $x$ and/or $y$.
(b)[6]
Using the grid, draw four straight lines and shade the regions that are not wanted to represent these inequalities. Mark the region, $R$, that satisfies all four inequalities.
(c)[2]
Use your diagram to find the greatest amount the baker can earn in one day by decorating cakes.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$y<10$” …