It would be more realistic to take into account the projected costs for the next three years in deciding on the location of a major project like a new platinum processing plant. Calculate the location of the plant based on the projected production in table 4. (Use years 2022 through 2024 since you plan to construct the plant now at the end of 2021). You must also consider that there is a 50% chance of transportation cost going up 25% each year and a 50% change of 5% reduction in transportation cost each year. Use decision trees to calculate the expected transport cost for each year (hint you need to modify equation 5.5) (10% of grade)

Table 4: Projected production in 1000 ounces (platinum mines)

Year	2021	2022	2023	2024
Sout	184	190	100	50
Nqutu	160	160	170	170
Addo	108	200	260	330
Zim plant	210	215	220	225