$10.)$

Machine

Cost

A

$40000$

B

$30000$

C

$80000$

Product

Annual Demand

A

B

C

$1$

$16000$

$3$

$4$

$2$

$2$

$12000$

$4$

$4$

$3$

$3$

$6000$

$5$

$6$

$4$

$4$

$30000$

$2$

$2$

$1$

A$.)$ Assume that only purchasing costs are being considered. Which Machine would have the lowest total cost, and how many of that machine would be needed? Machines operate $10$ hours a day, $250$ days a year.