A Missouri job shop has four departments$$machining $($M$),$ dipping in a chemical bath$($D$),$ finishing$($F$),$ and plating $($P$)$assigned to four work areas. The operations$$ manager, Mary$$ Marrs, has gathered the following data for the movement of material.

The number of workpieces moved yearly between work areas$$ are:

M

D

F

P

M

$$

$600$

$2,000$

$200$

D

$$

$$

$400$

$400$

F

$$

$$

$$

$1,800$

P

$$

$$

$$

$$

It costs $$0\mathrm{.}50$ to move $1$ workpiece $1$ foot in the job shop.$$For the layout design of the job$$ shop, Mary has the current layout$($Plan A$)$ and two proposals$($Plan B and Plan$$ C$).$

Part $2$

$$a$)$ LAYOUT PLAN A$$: Distance between work areas$($departments$)$ in$$ feet:

$$

M

D

F

P

M

$$

$20$

$12$

$8$

D

$$

$$

$5$

$10$

F

$$

$$

$$

$4$

P

$$

$$

$$

$$

The yearly total material handling cost of the current layout presented in PLAN A$=$$enter your response here $($enter your response as a whole$$ number$).$