Revenue, R = 130x
Profit, P = Revenue – Cost
P = R – C
P = 130x – 2950 + 6x + 0.1x^2
At P = 0
0 = -2950 + 136x +0.1x^2
X = 21.355, -1381.355
Therefore, manufacture greater than 21.355 items to make
profit.
Answer:

Step-by-step explanation:
Suppose h is the inverse of f then
f(x) = y ⇔ h(y) = x
f(x) = y ⇔ 4x = y ⇔ x = y/4
and since x = h(y) then h(y) = y/4
then we can write :

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:)
Answer:
Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.
Now, we have numbers lying between the square of n and (n + 1) is 2n
⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112
Hence, 112 numbers lies between the square of the given numbers.
Answer:
The sample size n = 4225
Step-by-step explanation:
We will use maximum error formula = 
but we will find sample size "n"

Squaring on both sides , we get

Given 99% confidence interval (z value) = 2.56
given maximum error = 0.02

n≤
( here S.D = p(1-p) ≤ 1/2
on simplification , we get n = 4225
<u>Conclusion</u>:
The sample size of two samples is n = 4225
<u>verification</u>:-
We will use maximum error formula =
=
= 0.0196
substitute all values and simplify we get maximum error is 0.02