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**Unformatted text preview: **MATH-43 . Quizrz (Se-c__. 7.1, 7.3 and 7. 5) Total: ZED-points. ,_ Name: -Wb Milk/J Directions: Show all your work' In spate provided to receive a partial credit for incorrect solutions and a
mu credit for correct solutions. ' 1. [3 pts. ]Solve the system by method of substitution Checl< your solutions graphically. {x +y :25 as? Q witch 11:??le ﬁMrfM/i (Mr—U1? 293'“ ‘ 0 AI; ._
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2. [3 pts.] Use your calculator to solve the system of equations. Find the. solution accurate . to two decimal places [4 'pts.] 'Solve the-system by Gaussian'e’iiminatio'nmethod. Cieariy indicate the row
operations. 2x+4y~ z=7 72+}! j-i’ '33 O
2x—~ 4y+22= 6ﬁ 33111,; fags-*6“
x+4y+z= .0 ﬂﬂ‘f'q} «% {3'1 4. [2 pts. ] Applying the Geussian eiiminationmmethod to a system of linear equations how
you can decide that the system Is inconsistent (has no soiutions)? ﬁWQWW WWWWWW w. A23; .116» WW MW 6" No.9, [email protected]==‘Z _ inequalities.
x < 251— y2
0<x+yd 5. [4 ﬁts} 'Sketch the'graph and label 'th.e"vertices of Te golutgﬁrl set'of the system of . V (4 llJ ' ' " ' 'f l @4 if!) WW”- .
04mg Erie/rf‘phi‘ (W? ”ﬂaw «11 My @149“ MM“
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' M m MW 4“ WW ﬁWJ’W. 6. [4 pts] (a) Sketch the demand and supply equation in the axes below choosing an
appropriate scale on each axes ' ' Price(in$) . FTT&{’G:M[2 A number of units p =120— 0.0042: .Demand' equation F5930 ‘ [2,3 E: I25 ~ ‘9‘0 '67
_ _ '. ) ' '- 33: ' p 2 70+ 0.00136 . SupplyequatIon 3%“ :- @331, (b) A Find the equilibrium point and eXplain'its meaning (include unit-s); I;
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ﬁll w- e 95 J l0 " , - (c) On your graph' In part (a) shade the regions the areas ofwhich represent the Consumer surplus and Producer surplus. -. . . _ ‘ I
m a great . ' - - ' ~ Jill/W" (d) Calculate the Consumer surplus and Producer surplus (include units). {ﬁt @31ka Raw-:- J 2'0“? “P‘s; [15a ”0 _ g’gMa We
1 W MM“ “Afﬁﬁﬂaj (is, may as. $399 m .‘ 4 ...

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