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# 4.1 - 4.1 A company that produces ice cream has found that...

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Unformatted text preview: 4.1 A company that produces ice cream has found that the cost, in dollars per gallon, of the ice cream it produces is clix.) = - ELDlElx+ 8.50 for X 5400, Where x is the number of gallons ofice cream produced. Find the total cost of making 330 gallons ofice cream. The total cost of making 330 gallons ofice cream is \$ 1WD.45. A concert promoter sells x. tickets and has a marginal proﬁt function given by P TX) = 2x- IDTIZI, where P TX) is in dollars per ticket. This means that the rate of change in total proﬁt with respect to the number of tickets sold, X, is P TX). Find the total proﬁt from the sale of the ﬁrst 440 tickets. The total proﬁt from the sale of the ﬁrst 440 tickets is \$ - ETTEEIEI . A company that produces ribbon has found that the marginal cost of producing x. yards of fancy ribbon is given by C TX) = — |I|.|I||I||I||Z|1x.2 — |I|.E|2x.+ 33 for X £1000, Where C '(x) is in cents. Approximate the total cost of manufacturing IIIIIJEI yards of ribbon, using 5 subintervals over [ELIEIEIEI] and the left endpoint of each subinterval. The total cost of manufacturing 1000 yards of ribbon is approximately \$ 226 . 4 E 3k: 121 k=E| a} Approximate the area under graph (a) of flile = 3 I 19:“ over the interval [1,9] by computing area of each rectangle to four decimal places and then adding. b) Approximate the area under graph (b) of fl:le = 3 i“ x2 over the interval [1,9] by computing area of each rectangle to four decimal places and then adding. The area under graph {a} is approximately 7. U291 . {Round to four decimal places as needed.) The area under graph Cb) is approximately 4.5322 . (Round to four decimal places as needed.) '1 '3 q d. E R Tu" F: El Approximate the area under the graph of fl:le = Illllx4 - 1.2114:2 + 63 over the interval [5,13] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval. The area under the graph of fIIX) = |I|.|I|1x4 -1.21x2 + 68 over the interval [5,13] is approximately 350.64 . ...
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