











A baker makes two types of bread loaves:
"cottage" and "farmhouse".


Let x
be the number of cottage loaves and y be the number farmhouse loaves to be made each day.






Each cottage loaf requires 500
grams of flour and 50
grams of butter.


Each farmhouse loaf requires 300 grams of flour and 150 grams of butter.


The baker has 4.5 kg of flour and 1.5 kg of butter available each day.


The baker has time to bake at most 12 loaves.




The baker makes a profit of 30p on each cottage
loaf and 60p on each farmhouse loaf sold.


How many of each type should be made each day to
maximise potential profit?













P =


x +


y



























Enter two points for each constraint line to
generate a plot in the window below.



You should choose points which clearly show the
region formed by the constraints.

























Constraint 1

x

y







Point 1









Point2









Constraint 2

x

y







Point 1









Point2









Constraint 3

x

y







Point 1









Point 2









Constraint 4

x

y







Point 1

8

8







Point 2

1

1





































































































































































































































































































Starting with the corner
point nearest the origin, (0, 0),
enter the corner points in clockwise order:


Give your answers
rounded to 2 decinmal places.







Calculate "P" based on your rounded answers.



















Feasible Region Corner Points

x

y

P





Corner Point 1








Corner Point 2








Corner Point 3








Corner Point 4








Corner Point 5





























The objective function is
maximised at corner point number:















