The specifications of a vessel are as follows: Deadweight capacity Winter load line 18,500tons Summer load line 23,500 tons Tropical load line 25,000 tons Average speed 13 knots/hour Bunker Capacity Intermediate Fuel Oil (IFO) 1600 tons Diesel Oil (DO) 160 tons Cost: fuel IFO $110, MDO $198.80, Water $385 and Store $2689.70 Daily Consumption at Sea: IFO 28 tons/day DO 6 tons/day water 3 tons/day store 5.5tond/day In Port 6 days: IFO 2 tons/day MDO 5 ton/day Water 7 tons/day Stores 4 tons/day Required reserve days ten days (the 'at sea consumption' is used to calculate reserve for fuel) The vessel entered into a voyage charter agreement to carry cargo from Barbados (winter load line) to Port St. John (also winter load line). 3,820 nautical miles away to maximize the load, only the reserves for all fuels, water, and stores should remain. It is assumed that there is currently no fuel, water, and stores on the vessel (including the reserves); Calculate: a. Total weight of the reserves b. The number of days to be traveled c. Total amount of fuel, water, and stores to be purchased and the cost d. The maximum amount of cargo that can be loaded