Week 2 Day 7 Assignment Appendix C  Answers
1a.
Let x = the number of tiles sold per month. The following ttable shows points for
the line:
x =
quantity
p = price sold
42
20
52
10
To get the equation for the line, use (pp
0
) = m(xx
0
)
m =
1
10
10
52
42
10
20

=

=


Using (x,p) = (42, 20), line equation is
(p20) = 1(x42)
p =
20 – x + 42
p = x + 62
1b.
Revenue is R = xp
R = x(x + 62)
substituting from part a
R = x
2
+ 62x
distributing x through.
c.
If
b
represents a fixed cost, what value would represent
b
?
$300
d.
Find the cost equation for the tile. Write your answer in the form C = mx + b.
1e.
P = RC
P = x
2
+ 62x – (6x + 300)
P = x
2
+ 62x – 6x 300
P = x
2
+ 56x – 300
1f.
Substitute 20 into P for x:
P = 20
2
+ 56*20 300
P = 400 + 1120 – 300
P = 420
The profit from selling 20 tile sets is $420.00.
1g.
Substitute 25 into P for x:
P = 25
2
+ 56*25 – 300
P = 625 + 1400 – 300
MAT 117
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P = 475
The profit from selling 25 tiles is $475.00.
h.
What is the profit made from selling no tile sets each month? Interpret your answer.
(0
20)
(6
0
300)
0
(0
300)
300
P
P
P
=
•

•
+
=


= 
1i.
The number of tiles that will yield the highest profit is 28.
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 Spring '09
 rebello
 Math, Marketing, Pythagorean Theorem, Sales, Euclidean geometry

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