A manager must decide which type of machine to buy, either A$,$ B or C$.$ Machine costs are as follows:

Machine

A $$40000$

B $$60000$

C $$50000$

Each machine will be used to produce $4$ different Products. The forecasted demand and processing times on the machines are as follows:

Processing Time Per Unit $($Minutes$)$

Product

Annual Demand

Using Machine A

Using Machine B

Using Machine C

$1$

$24000$

$5$

$1$

$5$

$2$

$14000$

$3$

$6$

$3$

$3$

$9000$

$4$

$5$

$1$

$4$

$3000$

$5$

$6$

$3$

Machines operate $10$ hours per day, $250$ days per year.

Compute the yearly processing time $($in minutes$)$ required for each of the different machines.

Machine A Processing Time $=213000$