- 3 The Tourism Department Of A Certain Country Has 80 Million Dollars And Would Like Decide Which Projects To Fund Durin 1 (116.28 KiB) Viewed 53 times
3. The tourism department of a certain country has 80 million dollars and would like decide which projects to fund during the coming year. The projects were divided into three main categories: religious, historical and construction. Three proposals A, B, and C for restoring religious rights are submitted with estimated cost of $5, $7, and $3 million respectively. Four proposals D, E, F, and G for restoring of historical sites are submitted with estimated cost of $15, $12, $5, and $7 million respectively. Finally, five proposals H, I, J, K, and L for constructing new facilities are submitted with estimated costs of $2, $15, $22, $8, and $19 million respectively. To determine relative priority of these projects, experts from the tourism department developed a rating scheme with the following scores. B Project Score A 5 с 2 D 8 E F 11 1 G 7 H 2 I 10 J 9 K 5 L 4 6 The department decides that at least one of each category must be funded. Projects E and F represent a continuation of a plan that started during previous year, and at least one of them must be funded. At most two historical and three construction projects can be chosen. Furthermore, the amount of money allocated to fund the construction projects selected must not be more than 50% of the amount used to fund all projects selected. To determine which projects the tourism department should select, formulate mathematical model.