A= (7 2)
(1 4)
X= (x)
(y)
B= (b)
(c)
17. Use the matrices below to write the matrix equation AX=B as a system of equations:
Give this one a try later!
, Solution 17:
(7 2) Which is multiplied
(1 4) with *
(x)
(y) which equals to =
(b)
(c)
7x+2y=b
1x+4y=c
The Frisbee outlet store has marginal cost of $59 for a box of Frisbee's and has a fixed
monthly cost of $800. The outlet sells a box of Frisbee's of $89.
1. Let x represent the number of boxes and P(x) represent the corresponding monthly
profit in dollars. Find the profit function.
2. How man boxes of Frisbee's should be sold to break even?
3. How many boxes of Frisbee's should be sold to make a profit of $1800?
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Solution 1:
C(x): 59x+1800
R(x): 89x
P(x): R(x)-C(x)
P(x): 30x-1800
Solution 2:
Set P(x)=0 ; 0=30x-1800 > 1800=30x > x=60 You must sell 60 boxes to break
even
Solution 3:
P(x)=30x-1800 ; 1800=30x-1800 > 3600=30x > x=120 You must sell 120 boxes.
Let
S= (1 2 3 4 5 6 7 8 9 10)
A= (1 2 4 6)
B= (3 6 7 8)
, C= (1 2 3 4)
24. What is B' intersect (A union C)' ?
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Solution 24:
B'=(1 2 4 5 9 10)
AUC=(1 2 3 4 6)
(AUC)'=(5 7 8 9 10)
B' intersect (AUC)'= (5 8 10)
Use the following equations:
4x + 6y = 14
-8x - 12y= -30
13. Find the number of solutions to the system and describe the graphs of the two
equations.
Give this one a try later!
Solution 13:
Using RREF you will come up with a matrix of these solutions
(1 1.5 0)
(0 0 1) Meaning it is inconsistent, no solution, therefore the lines must be
parallel.
42. The most common gambling vacation spot is Las Vegas. 38% of the population
who plan a Christmas vacation chose Las Vegas. You select 10 of your colleagues that
plan Christmas vacations. What is the probability that exactly 4 or exactly 5 of them
will plan a Las Vegas vacation?
Give this one a try later!
(1 4)
X= (x)
(y)
B= (b)
(c)
17. Use the matrices below to write the matrix equation AX=B as a system of equations:
Give this one a try later!
, Solution 17:
(7 2) Which is multiplied
(1 4) with *
(x)
(y) which equals to =
(b)
(c)
7x+2y=b
1x+4y=c
The Frisbee outlet store has marginal cost of $59 for a box of Frisbee's and has a fixed
monthly cost of $800. The outlet sells a box of Frisbee's of $89.
1. Let x represent the number of boxes and P(x) represent the corresponding monthly
profit in dollars. Find the profit function.
2. How man boxes of Frisbee's should be sold to break even?
3. How many boxes of Frisbee's should be sold to make a profit of $1800?
Give this one a try later!
Solution 1:
C(x): 59x+1800
R(x): 89x
P(x): R(x)-C(x)
P(x): 30x-1800
Solution 2:
Set P(x)=0 ; 0=30x-1800 > 1800=30x > x=60 You must sell 60 boxes to break
even
Solution 3:
P(x)=30x-1800 ; 1800=30x-1800 > 3600=30x > x=120 You must sell 120 boxes.
Let
S= (1 2 3 4 5 6 7 8 9 10)
A= (1 2 4 6)
B= (3 6 7 8)
, C= (1 2 3 4)
24. What is B' intersect (A union C)' ?
Give this one a try later!
Solution 24:
B'=(1 2 4 5 9 10)
AUC=(1 2 3 4 6)
(AUC)'=(5 7 8 9 10)
B' intersect (AUC)'= (5 8 10)
Use the following equations:
4x + 6y = 14
-8x - 12y= -30
13. Find the number of solutions to the system and describe the graphs of the two
equations.
Give this one a try later!
Solution 13:
Using RREF you will come up with a matrix of these solutions
(1 1.5 0)
(0 0 1) Meaning it is inconsistent, no solution, therefore the lines must be
parallel.
42. The most common gambling vacation spot is Las Vegas. 38% of the population
who plan a Christmas vacation chose Las Vegas. You select 10 of your colleagues that
plan Christmas vacations. What is the probability that exactly 4 or exactly 5 of them
will plan a Las Vegas vacation?
Give this one a try later!
