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A bakery makes two types of pizza: large and medium.
Let
x
be the number of large and
y
be the number of medium pizzas to be made.
Every day the bakery must make
at least 40 large
and
at least 40 medium
pizzas.
The bakery must make at least 120 pizzas in total each day.
The bakery cannot make more than 400 pizzas in total each day.
Each large pizza takes 4 minutes and each medium pizza takes 2 minutes to make.
There are 4 workers availabe, each for5 hours a day to make pizza.
The bakery makes a profit of £3 on each large and £1 on each medium pizza.
How many of each kind should be made each day to maximise profits?
How many minutes work in total can be provided by the workers?
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
Point 2
Constraint 5
x
y
Point 1
Point 2
Constraint 6
x
y
Point 1
0
0
Point 2
0
0
[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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