W$3.$ A$3.$ A terminal has four customers that need delivery by truck. The customers have the following demand:

Customer Demand

$15$ tonnes

$28$ tonnes

$37$ tonnes

$46$ tonnes

The truck load capacity is $15$ tonnes. The distances $($km$)$ between the customers and the terminal are:

Terminal Customer $1$ Customer $2$ Customer $3$ Customer $4$

Terminal $-$

Customer $1100-$

Customer $210020-$

Customer $31204030-$

Customer $4130601010$

$3$a$.$ Calculate the driving distance savings matrix.

$3$a$\mathrm{.}1.$ How much is saved if Customer $1$ and $2$ are served in one route?

$3$a$\mathrm{.}2.$ How much is saved if Customer $1$ and $3$ are served in one route?

$3$a$\mathrm{.}3.$ How much is saved if Customer $1$ and $4$ are served in one route?

$3$a$\mathrm{.}4.$ How much is saved if Customer $2$ and $3$ are served in one route?

$3$a$\mathrm{.}5.$ How much is saved if Customer $2$ and $4$ are served in one route?

$3$a$\mathrm{.}6.$ How much is saved if Customer $3$ and $4$ are served in one route?

$3$b$.$ Given the truck load capacity, how many customers can be served in one route?

Select the alternative that applies.

$2$

$3$

$4$

$3$c$.$ Which of the route alternatives saves the most in driving distance?

Select the alternative that applies.

Customers $1$ and $2$

Customers $1$ and $3$

Customers $1$ and $4$

Customers $2$ and $3$

Customers $2$ and $4$

Customers $3$ and $4$

$3$d$.$ How long is the driving distance for the route that saves the most?

$3$e$.$ How much is delivered to the customers on the route that saves the most?

$3$f$.$ How long is the driving distance for the route thats serves the remaining customer $($or customers$)?$

$3$g$.$ How much is delivered on the route thats serves the remaining customer $($or customers$)?$