Question 3 (Total of 16 marks)

Henley Surf Life Saving Clubis currently looking to organise a community event to recruit more volunteers for the club.The manager of the club, Bob, is reviewing the menu options with kitchen staffs preparing to serveBeef BurgerandChicken Burgerto patrons at the community event.

The ingredients for eachBeef Burgerwill cost $2.60 and eachChicken Burgeris costed at $2.15.Bob allocated a budget of $450 the ingredients.The kitchen staffs also determined that eachBeef Burgerwill take 3 minutes to put together while eachChicken Burgerwill require 2 minutes of preparation time.There are 7 hours of preparation time ahead of the community event.Bob negotiated with a local bakery to supply 200 brioche buns for the community event with 1 brioche bun needed for each burger.Bob requires at least 100 burgers to be sold at each community event as a key performance indicator for the club to ensure the success of community outreach.

TheBeef Burgeris priced at $7 each while everyChicken Burgerwill sell for $6.50.Bob would like to know how to maximise the revenue from these community events.

For the questions that follow, use the following notation for the decision variables:

BB = The number ofBeef Burgersold at the community event

CB = The number ofChicken Burgerat the community event

The Excel Solver output may be of assistance when answering questions (a) - (d).

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