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Problem Sheet #7 (3.1-3.3) Classlb: Math 1090 - Hmk. 7 Score Instructor: Katrina Johnson Name: 001 Spring 2013 Complete each problem. Clearly indicate your final answer. No credit will be given without supporting work 1. Solve for x. —12x=18 2 a) 4x Z oj_J 14 2. 2 +3x+2=7x 8x b) 2 X ’,c#2=c, 4 \zLZE2 (%+ )ryo —5=607 2 c) 9x ( J Ii —11=4x 2 d) 5x _th -i:O 1 5% 14 ± ,c 4 _14(c,)(j to — H 1( 2. If the demand function for a commodT1jIven by p =96— 5q q 2 and the supply function is given by p = q 2 + 3q+ 32, find the market equilibrium quantity and price. (Write your answer as a point.) — 3(D 342 2 L4 z -12 2- 92 432 3. Complete the square to write y ‘2 (c ‘2 in vertex form. ‘‘+_L) 1 \ 3 — 3x +3 = (-+ 4. Consider the function, a) What f(x) = —3(x + 1)2 —4, for the following problems. is the vertex of the function? (-‘,-‘‘) b) Is the vertex a maximum or minimum? c&-3<o cv,e)c (V)Cr c) What is the axis of symmetry of the function? d) What are the x-intercepts of the function? Th’.S flVQ CYOSi€S I e) What 5. Mr. Smith makes and sells bicycles. His cost function is given by is the y-intercept of the function? revenue function is described by R(x) = 2 + 124x. —x a) What is the profit function? ,- LL’) b) What - C(x) =50x+744. His 2’4L —(+iq \- + is the maximum profit? - - 2c’ 2±- 39 ( t i) c) How many bicycles must be sold to break-even? What is the cost of producing these bicycles? 2S 0 ( o -1_ O CCo2) S1 Vz\E