Question

$2$

$6$

$$XYZ

$,$

$$Inc$.,$ has plants in three locations and is currently working on three major construction projects, each located at a different site. The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table below. FROM

$\backslash$

TO Project A Project B Project C CAPACITY PLANT

$1$

$$$

$5$

$$$

$2$

$$$

$6$

$1$

$7$

$0$

$$PLANT

$2$

$6$

$2$

$4$

$1$

$5$

$0$

$$PLANT

$3$

$4$

$3$

$3$

$1$

$8$

$0$

$$REQUIREMENT

$1$

$0$

$0$

$1$

$5$

$0$

$2$

$5$

$0$

$$Suppose that A

$1$

$,$

$$A

$2$

$,$

$$A

$3$

$,$

$$B

$1$

$,$

$$B

$2$

$,$

$$B

$3$

$,$

$$C

$1$

$,$

$$C

$2$

$,$

$$and C

$3$

$$represent the amounts delivered to projects A

$,$

$$B

$,$

$$and from plants

$1$

$,$

$2$

$$and

$>$

$1$

$7$

$0$

$$A

$2$

$+$

$$B

$2$

C

$2$ and $3$