Edexcel FD1 AS Specimen — Question 5

Exam BoardEdexcel
ModuleFD1 AS (Further Decision 1 AS)
SessionSpecimen
TopicLinear Programming

  1. Jonathan makes two types of information pack for an event, Standard and Value.
Each Standard pack contains 25 posters and 500 flyers.
Each Value pack contains 15 posters and 800 flyers.
He must use at least 150000 flyers.
Between \(35 \%\) and \(65 \%\) of the packs must be Standard packs.
Posters cost 20p each and flyers cost 4p each.
Jonathan wishes to minimise his costs.
Let x and y represent the number of Standard packs and Value packs produced respectively.
Formulate this as a linear programming problem, stating the objective and listing the constraints as simplified inequalities with integer coefficients. You should not attempt to solve the problem. \section*{(Total for Question 5 is 5 marks)} TOTAL IS 40 MARKS