Maximize $Z=3x_1+2x_2+3x_3$

Subject to $x_1-x_2+x_{3}4$

$x_1+x_2+2x_{3}8$

$x_1+x_{3}2$

$x_1,x_2,x_{3}0$

$(10$ Marks$)$

$($b$)$ The research department of Kwasa Kwasa Ltd has recommended to the marketing

department to launch a shampoo of three different types. The marketing manager has to

decide one of the types of shampoo to be laumched under the following estimated pay offs

for various levels of sales:

What will be the marketing manager's decision if

i$.$ Maximum criterion is applied?

$(2$ Marks$)$

ii$.$ Minimax criterion is applied?

$(2$ Marks$)$

iii. Maximax criterion is applied?

$(2$ Marks$)$

iv$.$ Laplace criterion is used?

v$.$ Hurwicz criterion is used? Use $-0\mathrm{.}75$