Every day a logistic service provider collects (used) oil at seventeen garages in the province of...
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Every day a logistic service provider collects (used) oil at seventeen garages in the province of Gelderland. She uses a small van with a 4-kiloliter tank inside. The total amount of oil (in kiloliters (1 kiloliter=1000 liter)) to be collected on a day is a continuous stochastic variable X with probability density function f(x): c if 2 sas5 f(2) = { (-cx + 7c)/2 if 5<as7 0 elsewhere %3D Determine the value for c such that f(x) is indeed a probability density function. Show all your calculations. 0436.pdf 0062108304 IF the amount of oil collected per day is less than or equal to 4 kiloliter, the costs for collecting the oil are equal to 200 euro (independent of the exact quantity collected) plus 100 euro for every kiloliter of oil collected. For example, if 3,42 kiloliter is collected on a day, the collection costs are equal to 200+3423D542 euro. IF the amount of oil collected per day exceeds the 4 kiloliter, the regular van is used to collect these 4 kiloliters (with costs as described above) and in addition an extra (smaller) van is hired to collect the amount of oil which exceeded the 4 kiloliter. The costs for collecting oil with the smallest van are equal to 150 euro (independent of the exact quantity collected) plus 200 euro for every kiloliter of oil collected with the smallest van. 1e Assume c=1/4. Determine the expected total costs per day to collect the oil. Cods vans without oil costs = 200. P(2sxs4)+ 350 P(4SKs7) = 275 Every day a logistic service provider collects (used) oil at seventeen garages in the province of Gelderland. She uses a small van with a 4-kiloliter tank inside. The total amount of oil (in kiloliters (1 kiloliter=1000 liter)) to be collected on a day is a continuous stochastic variable X with probability density function f(x): c if 2 sas5 f(2) = { (-cx + 7c)/2 if 5<as7 0 elsewhere %3D Determine the value for c such that f(x) is indeed a probability density function. Show all your calculations. 0436.pdf 0062108304 IF the amount of oil collected per day is less than or equal to 4 kiloliter, the costs for collecting the oil are equal to 200 euro (independent of the exact quantity collected) plus 100 euro for every kiloliter of oil collected. For example, if 3,42 kiloliter is collected on a day, the collection costs are equal to 200+3423D542 euro. IF the amount of oil collected per day exceeds the 4 kiloliter, the regular van is used to collect these 4 kiloliters (with costs as described above) and in addition an extra (smaller) van is hired to collect the amount of oil which exceeded the 4 kiloliter. The costs for collecting oil with the smallest van are equal to 150 euro (independent of the exact quantity collected) plus 200 euro for every kiloliter of oil collected with the smallest van. 1e Assume c=1/4. Determine the expected total costs per day to collect the oil. Cods vans without oil costs = 200. P(2sxs4)+ 350 P(4SKs7) = 275
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