Create and solve the optimization model based on the details below and answer the following questions. Manufacturers two type of wooden toys soldiers sell for $27 and cost $24 to produce trains sell for $21 and cost $19 to produce Requires two types of skilled labor finishing (100 available hours each week) carpentry (80 available hours each week) soldiers require 2 hours of finishing labor and 1 hour of carpentry labor trains require 1 hour of finishing labor and 1 hour of carpentry labor Demand for trains is unlimited, but no more than 40 soldiers are bought each week You have a deal with Centre Country Railroad and must produce at least 65 trains Giapetto wants to maximize weekly profit

1.

The decision variables for this problem are

Group of answer choices:

How many trains Centre Country Railroad needs

How many soldiers to produce

How much profit is maximized

How many trains to make

How many carpentry hours are available

2. Which are the constraints for this problem

Group of answer choices

The number of trains required by Centre Country Railroad

The total number of carpentry hours available

The total number of finishing hours available

The limit on demand for soldiers

The fact that soldiers require 2 hours of finishing

The fact that train demand in unmilited

The fact that you cannot manufacturer a negative numer of trains or soldiers

The profit margin of trains

how many trains to produce

How much profit can be maximized

3. What is the objective of this problem

Group of answer choices

Minimize waste

Satisfy all constraints

Total carpentry hours available

Maximize profit

4. Solve the model. The sum of optimal number of trains to build and soldiers to produce is (trains plus soldiers) : _____________ (trains plus soldiers)

5. For the solution you obtained for previous question, what is the optimal profit?

6. What is the value (not a negative number) of an additional carpentry hour? (How much additional profit could you make if someone gave you an additional carpentry hour at no charge?)

7. What is the value (not a negative number) of an additional finishing hour?

8. Change the following inputs: Set soldier production price to 20. Set carpentry hours required for a soldier from 1 to 0.5. Set the trains needed to be sent to Centre County Railroad from 65 to 50. Set the amount of finishing hours total available from 100 to 120. Now resolve your model.

Enter the sum of optimal number of trains to build and soldiers to produce:

9. For the above question, based on the new optimal production quantities, what is the resulting profit ?