BooBoo Magicians [5] BooBoo Magicians is a children\'s party service that organi

Question

BooBoo Magicians [5] BooBoo Magicians is a children's party service that organizes entertainment packages for birthday parties and other small celebrations. It does business by selling ready-made entertainment packages. Their current portfolio includes three such packages: (1) Standard, (2) Joyful and (3) Fabulous. Each package requires a certain number of labor hours for its magicians and a set number of balloons bags that are needed for the decorations and tricks. The resources required and profits generated by each package are shown in the table below: Labor req'd Balloons req'd Cost Price Standard 3 hours 2 bags $2K $3K Entertainment Packages Joyful 5 hours 5 bags $3K $5K Fabulous 8 hours 8 bags $4K $7K

Explanation / Answer

Decision variables: Let S, J anf F be the number of Standard, Joyful and Fabulous packages to offer.

Objective: Max (3k-2k)S + (5k-3k)J + (7k-4k)F

The constraint representing the 350 bags of balloons is following

2S+5J+8F <= 350

Constraint representing the 400 labor hours is following:

3S+5J+8F <= 400

Q6. Constraint representing that at least ten packages of each type must be offered is following:

S >= 10

J >= 10

F >= 10  

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