3. ORB (Opec Reference Basket) is an oil index composed of crudes listed in Table 2. The table is based on OPEC Monthly Oil Market Report (2017) Table 1.1 on page 6 and Table 5.8 on page 57. Data pertains to December 16, 2016. Each crude comes from a particular country as listed in Table 2. Each crude's price is given in terms of \$ per barrel. Each country's production is provided in terms of thousands of barrels per day. Indonesian crude Minas was in the basket in 2016 but removed in 2017, so the production quantity of Indonesia is not available in the OPEC's monthly report. This unknown is denoted by Table 1: Scenarios and recoverable oil in South-UTD field. Table 2: Crudes and Countries in OPEC Reference Basket. b and d stand respectively for a barrel and day. x5 in Table 2. Suppose that ORB price is computed according to the production-based weighted price average formula pORB=i=114xii=114xipi=x1+x2++x14x1p1+x2p2++x14p14, where xi and pi respectively are production amount of country i and its crude price. a) Using Indonesia's year 2000 production quantity of 1,428,000 b/d and Table 2 , compute pORB in dollars and cents (two digit significance). b) OPEC reported pORB=51.67 on December 16,2016 , what value of Indonesian production volume x5 justifies this price