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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
[No canvas support]
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:
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