A manufacturing company wants to maximize profits on products$$ A$,$ B$,$ and C$.$ The profit margin is$$ $$3$ for$$ A$,$ $$6$ for$$ B$,$ and$$ $$15$ for C$.$ The production requirements and departmental capacities are as follows.

Department

Production Requirement by Product$($hours$)$

Departmental Capacity

$($total hours$)$

A

B

C

Assembling

$2$

$3$

$2$

$30,000$

Painting

$1$

$2$

$2$

$38,000$

Finishing

$2$

$3$

$1$

$28,000$

What are the constants in the$$ model?