Please help with any ideas on how to formulate a LP model to choose artworks that will maximize the impact while staying within budget

Question 37 marks) Six types of artwork are available for an art exhibition (type 1, type 2, ...., type 6). Previous art exhibitions have shown that the number of people who would like to see the artworks is 58, 37, 42, 40, 55 and 33 respectively. The organiser has a budget available of R15000. The cost (transport and insurance) to have the artworks available at the venue are R6000, R4000, R3800, R4200, R5500 and R3200 respectively. Additional requirements for the art exhibition include that at least three types of artworks must be selected for the exhibition; if type 4 is included in the exhibition, then type 3 must also be included; and, if type 1 is not selected then type 2 must be selected. Formulate a LP model to choose artworks that will maximise the impact while staying within budget utan (5 marks