$1.$ Find the minimum cost solution for the following transportation problem which has cost structure as:

To$/$From

P

Q

R

Availability

A

$16$

$19$

$12$

$14$

B

$22$

$13$

$19$

$16$

C

$14$

$28$

$18$

$12$

Requirement

$10$

$15$

$17$

$2.$ Briefly describe the Simplex method, Goal Programming, and Integer Programming.

Submission:

Submit a Word document in APA format. Include academic quality references to support your explanation of the models.