C The answer is y=1.560-22.105
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Answer:
10
Step-by-step explanation:
-2*2-3x+5=f(x)
-2*2-3(-3)+5=f(x)
-4+9+5=f(x)
5+5=f(x)
10=f(x)
You are given
a distance of 20 kilometers and time of 30 minutes. You are required to find
for the speed of the travelling object. The equation for speed is distance over
time. Speed is a scalar quantity. It tells you the direction of the travelling object.
The solution in this problem is,
Speed =
distance/time
Speed = 20
kilometers / 30 minutes
<u>Speed =
2/3 kilometers per minute or 0.667 kilometers per minute</u>
<span>Therefore,
the speed of the object is 0.667 km per minute.</span>
