a. Let us say that c(x) is the cost of one t shirt based
on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on
the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx
= 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
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Answer:
The creators of the two models observed life in which either the sun or the earth was at the center of the solar system. The main difference is with the geocentric model, the earth is in the center. In comparison, with the heliocentric model, the sun is in the center.
Let the number of adult be x and the number of children be y.
There is a total of 11 people
x + y = 11
Total cost of tickets is $228
22x + 15y = 228
x + y = 11 ----------------- (1)
22x + 15y = 228 ---------(2)
From (1):
x+ y = 11
x = 11 - y --- sub into (2)
22 (11 - y) + 15y = 228
242 - 22y + 15y = 228
-7y = 228 - 242
-7y = -14
y = 2 ---- sub into (1)
x+ 2 = 11
x = 9
Number of adult tickets = 9
Number of child tickets = 2
Answer:
the answer to the question is 5