<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
0.22% shrinkage as a percent of sales.
To calculate shrinkage you subtract the physical inventory value from the book value.
245,000-237,000 = 800
The shrinkage was $800. To find the shrinkage as a percent of sales take the shrinkage value and divide it by the sales value to get shrinkage as a percentage of sales.
800 / 360,000 = 0.0022....
Multiply Decimal by 100 to get the percentage
100 * 0.0022.... = 0.22%
-6+3=-3
-6-3=-9
so -3 and -9
The factors of the expression are 
<h3>How to find factors in the expression?</h3>
First group the first two terms and the last two terms together respectively.
The factors of the expression are given by;
Hence, the factors of the expression are 
.
To know more about factors click the link given below.
brainly.com/question/9645056
