Chapter 6.12, Problem 6P

Explanation of Solution

Reasons:

• The hospital 2 Linear Programming (LP) is as follows,

${\text{max z=5t}}_{\text{1}}{\text{+ 7t}}_{\text{2}}{\text{+ 10t}}_{\text{3}}$        (1)

s.t.

$-{\text{9t}}_{\text{1}}-{\text{4t}}_2-{\text{16t}}_3{\text{+5w}}_{\text{1}}{\text{+14w}}_2\ge \text{0}$        (2)

$-5{\text{t}}_{\text{1}}-7{\text{t}}_2-{\text{10t}}_3{\text{+8w}}_{\text{1}}{\text{+15w}}_2\ge \text{0}$        (3)

$-4{\text{t}}_{\text{1}}-9{\text{t}}_2-{\text{13t}}_3{\text{+7w}}_{\text{1}}{\text{+12w}}_2\ge \text{0}$        (4)

${\text{8w}}_{\text{1}}{\text{+15w}}_2\text{ =1}$        (5)

${\text{t}}_{\text{1}}\ge \text{0}\text{.0001}$        (6)

${\text{t}}_2\ge \text{0}\text{.0001}$        (7)

${\text{t}}_3\ge \text{0}\text{.0001}$        (8)

${\text{w}}_1\ge \text{0}\text{.0001}$        (9)

${\text{w}}_2\ge \text{0}$