Custom Shirts$,$ operates three garment plants, one each in Guadalajara $($Mexico$),$ Tianjin $($China$),$ and Verona $($Italy$).$ Each month, these three plants can produce a mix of four styles of men$$s shirts, with monthly demand holding relatively steady as follows:

Style

Monthly Demand

A

$28000$

B

$65000$

C

$35000$

D

$70000$

Maximum capacity for each of the plants is as follows:

Plant

Monthly Capacity

Mexico

$45000$

China

$93000$

Italy

$60000$

Because of differences in plant efficiency, the $$per style$$ profit differs by which plant produced the shirt. These profits figures are given below:

STYLES

PLANTS

A

B

C

D

Mexico

$$8$

$$12$

$($$$2)$

$$6$

China

$$13$

$$4$

$$3$

$$10$

Italy

$$0$

$$7$

$$11$

$$8$

As the VP for Manufacturing, you need to allocate capacity to shirt style in order to maximize profits for Custom Shirts$.$

How many $"$A$"$ stye shirts should Mexico, China, and Italy manufacture? $[$HINT: other shirt styles also need to be manufactured.$]$

Group of answer choices

Mexico $0$

China $0$

Italy $28000$

Mexico $0$

China $28000$

Italy $0$

Mexico $5000$

China $18000$

Italy $5000$

Mexico $5000$

China $5000$

Italy $18000$