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.IIIZ1x.2 — I.E2x.+ 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.I1x4 1.21x2 + 68 over the interval [5,13] is
approximately 350.64 . ...
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 Spring '11
 JoyceRosebergh

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