Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
Answer:
All of the above
Explanation:
ISO means: International Organization for Standardization. It is one of the most important standard making bodies.
This organization has issued the standard ISO 15118 (1-9) that gives technical recomendations about data communication interfaces for road vehicles. So, both concepts listed above are true.
The price of the water needs to be raised by 40% when the consumption of water reduces by 10% and the price elasticity of demand results to 25%.
<h3>What is meant by the price of elasticity of demand?</h3>
The price elasticity of demand is determined as the proportionate variation in quantity with respect to variation in the price of a good.
Given values:
Change in water consumption (fall): 10%
Price elasticity of demand: 25%
Computation of percentage change in the price of water:
![\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=\frac{\rm\ Change \rm\ in \rm\ water \rm\ consumption}{\rm\ Price \rm\ elasticity \rm\ of \rm\ demand} \\\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=\frac{10\%}{25\%} \\\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=40\%](https://tex.z-dn.net/?f=%5Crm%5C%20Change%20%5Crm%5C%20in%20%5Crm%5C%20price%20%5Crm%5C%20of%20%5Crm%5C%20water%3D%5Cfrac%7B%5Crm%5C%20Change%20%5Crm%5C%20in%20%5Crm%5C%20water%20%5Crm%5C%20consumption%7D%7B%5Crm%5C%20Price%20%5Crm%5C%20elasticity%20%5Crm%5C%20of%20%5Crm%5C%20demand%7D%20%5C%5C%5Crm%5C%20Change%20%5Crm%5C%20in%20%5Crm%5C%20price%20%5Crm%5C%20of%20%5Crm%5C%20water%3D%5Cfrac%7B10%5C%25%7D%7B25%5C%25%7D%20%5C%5C%5Crm%5C%20Change%20%5Crm%5C%20in%20%5Crm%5C%20price%20%5Crm%5C%20of%20%5Crm%5C%20water%3D40%5C%25)
Therefore, there is an increase in water price by 40%.
Learn more about the price elasticity of demand here:
brainly.com/question/15010897
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Answer:
coca cola
Explanation:
s- coca cola is enjoyed all over the world therefore it will always make money
w- coca cola is a sugary drink which some people won't enjoy
o- coca cola can expand and make it more accessible to people local shops
t-coca cola is in competition with many other soda brands
The internet links the Earth's economies.