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Unformatted text preview: Bmkwgn Worlgheet using-a 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' : ”git. 1" 29° xi“ OJ 5 ' - no x: , 270 t W , ' 2.0-1] . w x: ”2751877; '3 yo Loon #{f - ‘l‘ (.01 x c 13% " 25 :29 x 3‘ Mg 6 ,._ :20 . , ’ ’4 ' . M ' c’” (3" . 1' . .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. .o ‘W-ﬂ M?” 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 O ’. “(taolgliﬁdd W ‘ 43B BE Quad worksheet 10/4/09 Professor Polemani ...
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