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: Option (d) is correct.
Explanation:
Correct option: Only a perfectly competitive firm operates at its efficient scale.
In the perfectly competitive market and in the long run, the firms who are making losses will exit the market and those firms who are able produce at a point where price is equal to the average total cost will exist in the market.
However, monopolistic firms operates at a below efficient level of production and with an excess capacity.
Competitive firms are generally enjoys the productive efficiency in the long run because these firms have the capability to produce at a lower average total cost.
Answer:
b. would leave the market first if the price were any lower.
Explanation:
In the market, the producer always sells more than the economic cost ( raw materials and labor cost) that he bears during production. The marginal seller means that the seller earns zero economic profit ( producer surplus) i.e. an economic cost equals the selling price. So if the price falls then the marginal seller would leave the market first because he will be indifferent when earns the zero economic profit but when the price falls he would leave the market.
Answer:
$580,000
Explanation:
The computation of the asset is shown below:
= Equipment + supplies + cash + account receivable
= $244,000 + $30,000 + $215,000 + $91,000
= $580,000
We simply added the four items so that the asset value could be determined
Hence, the asset is $580,000
Answer:
The correct answer is
Juan has dividend income of $250,000.
good luck ❤