<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>
Answer:
FIRST NUMBER IS 20
AND
SECOND NUMBER IS 45
Step-by-step explanation:
LET THE RATIO BE X
FIRST NUMBER = 4X
SECOND NUMBER = 9X
A/Q,
=}4X - 5 / 9X - 5 = 3 / 8
CRISS CROSS,
=}8 ( 4X - 5 ) = 9X - 5 ( 3 )
=}32X - 40 = 27X - 15
=}32X - 27X = - 15 + 40
=}5X = 25
=}X = 25 / 5
=}X = 5
THEREFORE,
FIRST NUMBER
=} 4X
=} 5 × 4
=} 20
SECOND NUMBER
=} 9X
=} 5 × 9
=} 45
Answer:
3 whole number, 1/3
Step-by-step explanation:
To solve this, Multiply the value of the banana to the weight of the Grapes.
Please find the attached file for a comprehensive Solution.
Maths is fun !
Answer:
If there were 25% fewer sunny days this year, then the answer would be 75%. This is because there are(100-25)% of the sunny days this year compared to last year.
Let me know if this helps!
Answer:
5
m
^3
n^3
(
125
m^
4
+
2
m
−
6
)
Step-by-step explanation:
