Transcript chapter 3 jeopardy

3
Variable
Systems
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200
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Linear
Prog.
Mixed
Applicati
ons
Leftovers
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(-2,-8,-1)
Solve the system:ì x - y + 2z = 4
ï
í x - 3z = 1
ï2y - z = -15
î
Row 1, Col 1
Min of 0 at (0,0) and max of 27 at (0,9)
Find the minimum and maximum
of C=2x+3y subject to:
ìx ³ 0
ï
íy ³ 0
ïx + y £ 9
î
1,2
f(n,p)=100n+350p+500 (n=number non-peak hrs,
p=number peak hrs)
It costs $100 to air a commercial
during off-peak hours on the radio and
$350 during peak hours. A company
charges $500 to make the
commercial. Write a model for
the total amount that will be spent making and
airing the commercial as a function of
the number of times it is aired during off-peak
and peak hours.
1,3
f(x,y)=x-5y-14
Write x-5y-z=14
as a function of x and y.
1,4
No solution
Solve the system:
ì x + y - 2z = 5
ï
í x + 2y + z = 8
ï2x + 3y - z = 1
î
2,1
25 tourist seats
Fly-High Airlines sells business class and
tourist class seats for its charter flights. To
charter
a plane at least 5 business class tickets must be
sold and at least 9 tourist class tickets must be
sold. The plane does not hold more than 30
passengers. Fly-High makes $40 profit for each
business class ticket sold and $45 profit for
each tourist class ticket sold. In order for FlyHigh Airlines to maximize its profits, how
many tourist class seats should they sell?
2,2
Plane 550 mph, wind 50 mph
An airplane flying into a head
wind travels the 1800-mile flying
distance between two cities in 3
hours and 36 minutes. On the
return flight (with a tail wind), the
same distance is traveled in 3
hours. Find the ground speed of the
plane and the speed of the wind,
assuming that both remain
constant.
2,3
The LCM of 4,-5,-3, which is 60
A plane has x-intercept of 4,
y-intercept of -5, and z-intercept
of -3. If you were to write
the equation of this plane
in standard form, what would be
the value of d?
2,4
y=3x^2+6x-14
Write the equation of
the parabola through (-1,-17),
(0,-14), and (2,10).
3,1
Sell 6 small sheds
Bob builds tool sheds. He uses 10 sheets
of dry wall and 15 studs for a small shed
and 15 sheets of dry wall and 45 studs for
a large shed. He has available 60 sheets of
dry wall and 135 studs. If Bob makes
$390 profit on a small shed and $520 on a
large shed, how many of each type of
building should Bob build to maximize his
profit?
3,2
6 oz of 60% and 2 oz of 20%
DAILY DOUBLE!
A pharmacist needs 8 oz of a 50%
saline solution. How many ounces
of 60% saline solution and 20%
saline solution must he use?
3,3
Jumpman
NON-MATH QUESTION!
What was the original name
for Mario in the 1981 arcade
game “Donkey Kong”?
3,4
Points of the form (x,3-x,6x-11)
Describe the solutions to the system
in terms of x:
ì-2x + 4y + z = 1
ï
í3x - 3y - z = 2
ï5x - y - z = 8
î
4,1
George Dantzig
Trivia
Who is known as the “Father of
Linear Programming”?
4,2
If the price is over $2000
At store A, cameras are available
for 15% off. At store B, there
is a $300 coupon for all cameras.
Assume the lowest priced
camera is $700. When does Store
A have a better deal?
4,3
(0,0,0) is always a solution
If a linear system has the form
ax+by+cz=0
dx+ey+fz=0
gx+hy+kz=0
it is called homogeneous.
Explain why any homogeneous system has at least one solution.
4,4