Unformatted text preview: Bmkwgn Worlgheet usinga andratic Revenue Function ‘ Given: C(x) = 70:: + 6,000 R(x) = —2x2 + 3601:
_ a. a
1. Findthc BE xvalue(s) 2. P(x)= g u)  3 L16): —.2.x +296 * 4"
u = :2,th _
3C K ‘ 5L4» 3‘ a x 3. Graph CRP. Label intercepts, roots, axis of $3, 5 90
10;: 1 5000 = '1‘ symmety £5 ' 0W H"
a. ‘60 O . ”53" ' ' 3'
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x: , 270 t W ,
' 2.01]
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x: ”2751877; '3 yo Loon
#{f  ‘l‘ (.01
x c 13% " 25 :29
x 3‘ Mg 6 ,._ :20 . , ’
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. .1! _ t d. 4. Fixed cost is J ‘5 0° _. 5. Cost to produce each new unit is 74 . 6. Roots ofRevenue function are 0 2 130 7. Roots of Proﬁt ﬁmctiou am 15' [2.0 8; it. Give theyilnerceptgﬁ’)’ of C(x]: ( 0° 9 ; R(x): 0 ; P(x): " 5‘0 ‘ . b. Give the x intercepﬂs) (afﬁx): 0 I I 3' 0 ; P(x): 4.5", 1.10.
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9. Maximum revenue occurs at ‘1 °_ units. 10. Maximum proﬁt occurs at 725' units.
The maximum revenue is M ' {I .2, a 6.09  The maximum proﬁt is '5 ﬁg {.3 . 10. Find the cost, revenue and proﬁt from producing I I]. How many units need to be made and sold to
and selling [00 uﬁits. achieve a proﬁt of $10,000? ‘
C(Iodjs £3000 .1
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“(taolgliﬁdd W ‘ 43B BE Quad worksheet 10/4/09 Professor Polemani ...
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 Spring '08
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