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Average grade on Fall 2015 paper test #3 : 6.58  Perfect = 10  See future grade prospects? 
[1] 
(a)(2 pts) At the right are the graphs of 5 lines : the 2 axes and 3
others in color. These are the graphs of the
equations associated with the inequalities
boxed below. Click any or all boxes which are located in the solution
set of the adjacent system of inequalities. On paper tests, students must create these graphs without a graphing calculator. 



[2]  Consider the problem in the 2 boxes below : without solving it.  




(a)(2 pts) In the box below are various ways to define variables in solving the above problem.
Choose one or more of these definitions of variables, so that taken together, your
choices would be the best in solving the problem above. On paper tests, you must write definitions rather than choose among options. Scoring: one point for objective function (capital letter), one point for all other variables 


(b)(2 pts) Using the best definition of variables from the choices in
[2a] above, choose one or more of the options below to
assemble a correct translation of the original problem into
a set of inequalities and objective function below. You must first earn a perfect 2point score on [2a] above in order to earn points in [2b]. Scoring below : Inequalities worth 1½ points, objective function worth ½ point 



(c)(1 pt) The solution set of a system of inequalities
consists of a quadrangle with vertices at (0,6), (4,10),
(12,8), and (15,0). What is the largest value of Z = x + 4y
if x and y must satisfy all these inequalities? 
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