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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In the equation (because an expression does not have a equal sign), the x is called the variable, as it can vary (changes value).
hope this helps
Answer:
About 158 students in the district participate in the school music program.
Step-by-step explanation:
394(2/5)=788/5=157.6
∠A=66
∠B=x
∠C=?
∠D=117
Ok, lets sovle for ∠C first.
180-117=∠C
63=∠C
Ok, now we can solve for ∠B or x.
66+63+x=180
129+x=180
-129 -129
x=51
Hope this helps! :)