Math 76O-143 Finite Mathematics
This is Paper Test # 3 [Go to web quiz 3]
Numerical answers are in our text, Rolf ;
Methods will be discussed using other problems.
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 143 Test 3 (Quiz) Spring 2008
[A] Credit given in proportion to the clarity of your WORK        
[B] Graphing calculators may NOT be used to make graphs
Average grade on this test : 8.34
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Total (max = 10)

[1]
(#29 Pg 219, simplified by substituting x0 and y0 from #7 Pg 162) (2 pts) Using arrows attached to the graphs of each line you draw, show the solution set for each of the 4 inequalities of the system in the box below ; all graphs must be drawn on the same set of axes at the right, without using a graphing calculator.
REVIEW THESE IDEAS?
(b)(2 pts) Again on the same graph at the right, and again for the system named in the box below, CLEARLY shade in the solution set for the entire system, using the side of a pencil or similar instrument, but not obscuring your answer to (1a). Your graph should be accurate enough to show all 4 corner points.
(c)(1 pt) Three of the four corner points in the solution set for [1b] above will lie on either the x-axis or the y-axis or both. Find the coordinates of the one corner point which DOES NOT lie on either axis. Note : in the original problem you must find 3 additional points, none on either axis.
-2x + y 2
3x + y 3
  x 0
  y 0
 
The coordinates of the one corner point which IS NOT on either axis are :
x =
 
expect
fractions
y =
 
 
Mathematics : The language of logic !
[2] (a)(4 pts)(#43 Pg 243) Translate the problem in the box below into a system of constraints (i.e., inequalities) and an objective function. Define all variables clearly in English : thus, "Let x = number of pizzas Jon bought" is better than "Let x = pizzas". DO NOT SOLVE the translated problem ; just "set it up".
 
BURP Beverage company produces 2 colas : regular and diet. It costs $1.00 to produce a carton of regular cola, and $1.20 to produce a carton of diet cola. The company can produce a total of at most 5000 cartons of cola, and has a daily budget of no more than $3000 to cover production costs. BURP'S profit is $0.15 on each carton of regular cola, and $0.17 on each carton of diet cola. How many cartons of each type of cola should BURP produce in order to maximize its profit?
Remember : just set this up, and then STOP
Once upon a time, there was a mean math prof who loved word problems...
 
[2] (b)(1 pt)(Pg 241 part of #11 one number changed for easier arithmetic) The solution set of a system of inequalities consists of a quadrangle with vertices at (0,0), (0,20), (7.5,10), and (10,0). What is the largest value of
P = 2x + 3y   if x and y must satisfy all the inequalities?
Corner Point Coords (0,0) (0,20) (7.5,10) (10,0)
Value of P = 2x + 3y