Shadow Price and Slack Exercise Pt1

You are planning what cupcakes a bakery should make. The bakery can make either:

regular size cupcake: profit = $5
a jumbo cupcake twice the regular size: profit = $10

There are 2 constraints on oven hours (30) and worker hours (65). This scenario has been modeled in PuLP for you and a solution found. The model status, decision variables values, objective value (i.e. profit), the shadow prices and slack of the constraints have been printed in the shell.

The sample script is a copy of that code. You will adjust the constraints to see how the optimal solution changes.

1
- Increase the 1st constraint to 31. Run the code and see the change in the objective compared to the original solution.
2
- Increase the 2nd constraint to 80. Run the code and see no change in the objective compared to the original solution.
3
- Decrease the 2nd constraint to 60. Run the code and see no change in the objective compared to the original solution.
4
Decrease the 2nd constraint to 59. Run the code and see a change in the objective value, and the amount of production.