Three people, Elise, Poppy and Richard, are each to be given $1$1 task ($T1$T1, $T2$T2 or $T3$T3) to complete on their own.
Each person is able to complete the $3$3 tasks that are available in a set time. These times, in minutes, are shown in the network diagram below.
Represent this data in a matrix.
$T1$T1 | $T2$T2 | $T3$T3 | |||||
$E$E | $\editable{}$ | $\editable{}$ | $\editable{}$ | ||||
$P$P | $\editable{}$ | $\editable{}$ | $\editable{}$ | ||||
$R$R | $\editable{}$ | $\editable{}$ | $\editable{}$ |
A physiotherapy company receives requests for $3$3 home visits ($V1$V1, $V2$V2 and $V3$V3) in the same area.
There are $3$3 workers ($W1$W1, $W2$W2 and $W3$W3) in that area who are available.
The network below shows the travel cost for each worker to get to each house in dollars.
Three friends, Adam, Ben and Christie, decide to have a picnic together. They each agree to buy either snacks, sandwiches or drinks from their local shopping centre and bring them to share at the picnic.
The table below shows the price of these products at each friend’s local shopping centre, in dollars.
A courier company needs to make multiple pick-ups across several stores.
The lengths of the roads (in km) linking these stores are shown in the diagram below.