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: a. The merged firm will operate at higher capacity and may be able to reduce costs through economies of scale and perhaps learning-by-doing, which will benefit U.S. consumers.
Explanation:
A merger occurs when two companies comes together and becomes one. This is done in order to expand the recah of a company, gain a market share, and also expand into new segments.
The plausible reasons for the limited impact of the merger will be because the merger will lead to the operation at a higher capacity which will ensure that there's cost reduction through economies of scale which will be beneficial to the consumers.
Answer:
This is not necessarily evidence that the proportion of Americans who are afraid to fly has decreaseddecreased because belowbelow 0.10 because the proportion of sample, is nothing very close to 0.10.
Explanation:
n = 1100
p = 0.10
Using the formula np(1-p), we will have
= 1100(0.10)*(1 - 0.10)
= 1100*0.10*0.90
= 99
99 ≥ 10
This satisfies normal distribution condition. That is, proportion of sample are normally distributed.
<span>Driving under the influence of alcohol by a minor
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Responder:
Real Madrid
Explicación:
El Real Madrid ha ganado la Liga de Campeones un récord asombroso 13 veces. (Todo lo que hice fue buscar en Google "quién es el equipo con más campeones" y eso es lo que obtuve) Espero que esto ayude.
