Review for Test #2
Math 1303
Lmear: EquatioodInqusliticdSystemsIP~ming
1. Page 11 (17 - 24; 27-30) Solve each inequality. Sketch the solution gmph on a nurnk h e and write
the solution in intwvd notation.
2.
See notes and quizzes. Use the: "sip chart" method for determining the solution to the inequality. Graph
the solution on a number line and write the solution in iratewal n d o n .
3. See notes and quhzes. Write the equation of each line described belaw:
,
Tangmt to the circle (whose equation is shown below) at h e point (-2, -1).
?+$-4~-6~-19=0
p-dxc4
,+yr+B
- 3)
-2
3 2U E-3
4-5. Page 186 (17-30); Page 197 (41 -45); Page 208 (31 -33) Solveeach lincarsy&
whichever method your prefer (examples are ofeach method)
*3
L
$ Z
3 - 4
-1g
+I$
a. Graph:
Jh-3~=12
b. Substitution:
I
(use
Linear cornbiion (addition):
-3
d. Gauss-Jordan (use calculator---show appropriate work):
0
6 . Page 1 86 (5 1 (ABC), 52 (ABC), 55A, 56A, 5 714,SXA, 65); Page 209 (65A, 66A)
a. We are interested in analyzing the sale of cherries each day in a paflicular town. An analyst arrives
at the following price-demand and price-supply models:
Supply: p = -0.2q
+4
Demand: p = 0.07q+ 0.76
p = price CdoIIars) q = # pounds (1000's)
How many pounds of cherries can be sold if the price is $2 per pound?
V
How many pounds of cherries can the suppIier provide is the price is $2 per pound?
Find the
aY0--, oo
two savings institutions. One pays interest at the
rate of 6% per year, whereas the other pays interest at the rate of 8% per year. If Michael earned a
total of $144 in interest during a single year, how much does he have on deposit in each account?
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7. Page 266 (1 - E 0; 29 - 33) Sketch the graph of the linear inequality; 4x - 5y 2 40
.
y-1fi
t
40
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q(g)
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7
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=ID
43
qa
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8. Page 273 (1 7 - 26) Sketch the graph of the linear system shown below. Then find all comes points.
Determine whether the solution region is bounded or unbounded .
-
Page 285 (9 - Z 6)
10. Page 287 (31A,32A 33A, 34AR)
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Set up a linear pmgtammhg problem to solve the following. Then use the graphing method to find the
needed value.
2
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National Business Machines manufactures two models of fax machines: A and B. Each model A
costs $100 to make, and each model B casts $150, The profits are $30 for each model A and $40
for each model R fax machine. If the total number of fax machines demanded per month does not
exceed 2500 and the company has earmarked no more than $330,060 per month for manufacturing
costs, how many units of each model should National make each month in order to maximize its qo 07
'
J
# J
monthly profit? What is the optimal profit?
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