Question $1$: The choice made by Turtles Company is to launch a new line of leisure

products necessitated the construction of small or large facility. The market's response to

the new product line will determine the optimal choice of plant size. Marketing management

has chosen to categorize potential long term demand as low, medium or high in order to

perform an analysis. The projected profit in millions of dollars is displayed in the payoff

table that follows.

a$.$ What is the decision to be made $?$

b$.$ Draw the decision tree to represent this situation.

c$.$ Recommend a decision based on the use of the optimistic, conservative

$($pessimistic$),$ and minimax regret approaches $($without consideration of

probabilities$).$

Question $2$: A gaming company is planning to manufacture two new box games in their

production line and they are called Game$\_1$ and Game$\_2.$ During the production there are

two machines are used A and B$.$ The number of hours needed on both machines are

indicated in the below table:

$($For both machines there are $24$ hours available$)$

a$.$ If the company wants to maximize total profit contribution, how many games of

each model should it manufacture per day? $($Calculate with the graphical method$)$

$(30$ p$.)$

b$.$ How many hours of production time will be scheduled for each operation?

$(10$p$.)$

c$.$ What is the slack time in each operation? $.$