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:
(2x - 3)(3x - 2)
Step-by-step explanation:
(2x - 3)(3x - 2) = 6x^2 - 9x - 4x + 6 = 6x^2 - 13x + 6
thank, 5 star, and brainliest if helpful!
Answer:
84
Step-by-step explanation:
7*[(9+8)-(12-7)]
= 7*[17-5]
= 7*12
= 84
The stop sign is an octagon or regular polygon.
It is given that a stop sign has 8 sides.
It is required to describe the sign using a polygon.
<h3>What is a polygon?</h3>
It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.
We have a stop sign that has 8 sides.
As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.
The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.
Thus, the stop sign is an octagon or regular polygon.
Learn more about the polygon here:
brainly.com/question/17756657
