A production system consists of three equal$-$sized machine stations $($A$,$ B$,$ C$)($see Figure below$).$

Machine stations A$,$ B$,$ and C are currently placed at locations $1,2,$ and $3,$ respectively as shown in the

figure below $($i$.$e$.,$ current layout is ABC$).$ A machine station can process one product at a time. All

products $($P$1,$ P$2,$ P$3)$ that enter the Aisle left side of location $1($I$)$ and leave the production system

at the Aisle right side of location $3($O$)$ are large and heavy. Each unit of product must therefore

be handled one at a time when transporting it from one machine station to another. Products are

transported through an aisle. The size of each machine station is $40$ ft x $40$ ft$.$ The product routing

information and required daily production rates are given in the table below. Assume that the pick$-$

up$/$delivery stations $($P$/$D$)$ for each location are placed at the midpoint of the location edge along the

aisle. Assume that the cost of transporting one unit of product one feet is $$1.$

Machine Station Description

A Lathe

B Mill

C Drill

Product Family Product flow path Number of Products per day

P$1$ IABCO $20$

P$2$ ICAO $100$

P$3$ IBCAO $50$

A

Location $1$

$40$ feet

B

Location $2$

$40$ feet

C

Location $3$

$40$ feet

P$/$D P$/$D P$/$D

I O$$

Aisle

$13.$ What is the cost of the current layout, ABC?

$$ a$.$ $$33000$

$$ b$.$ $$33200$

$$ c$.$ $$43200$

$$ d$.$ $$44400$

$$ e$.$ $$31000$

$5$