Problem T$5-10$

Transportation Problem: Small Electronics Compeny. A small electronics company wants to send a sensor that It makes from three

factorles to three warehouses. The factorles are in Atlanta, Chicago, and San Diego, and the warehouses are in Newark, Dallas, and

PhoenIx. The cost of shipping from each factory to each warehouse is shown below along with the capacitles at each factory and the

requirements at each warehouse.

a$.$ What is the optimal solution to this problem?

$x_{11}=$

$x_{21}=$

$x_{31}=$

$x_{12}=$

$x_{22}=$

$x_{32}=$

$x_{13}=$

$x_{23}=$

$x_{33}=$

Total cost $=$$

b$.$ What are the shadow prices for shipping more to Newark, Dallas, or Phoenlx? $($Round your answer to one decimal place where

needed.$)$

c$.$ If we could charge $$8$ per unlt for each additional unit shipped to the Phoenlx warehouse, how much profit would we make for each

additional unit?

Profit $=$$

d$.$ If you could reduce the unit cost of shipping from Atlanta to Phoenix from $$8\mathrm{.}50$ to $$6,$ would you start using that route in the

optimal solution?

Yes

No