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
Given :
Bud exchanges land with an adjusted basis of $ 22,000 and a fair market value of $ 30,000 for another parcel of land with a fair market value of $ 28,000 and $2,000 cash.
To Find :
What is Bud's recognized gain or loss.
Solution :
This is a transaction of like kind exchange.
So, gain or loss to be recognized is :

Therefore, option B) is correct.
Answer:
$8,119,048
Explanation:
Given that,
Amount of scholarships = $170,500 per year
Trust fund earns an annual rate of return = 2.1 percent
Let x be the amount contribute to the fund and assuming that only income is distributed,
2.1% of x = Amount of scholarships
0.021x = $170,500
x = $170,500 ÷ 0.021
= $8,119,048
Therefore, the amount of money that is contributed by the George Jefferson to the trust is $8,119,048.
This example illustrates INSIGHT. A person is said to have an insight when a solution to a problem present itself to him or occur to him suddenly. Insight refers to the sudden discovery of a perfect solution after trying unsuccessfully to fix a problem.
Answer:
The correct answer is: feasible and efficient.
Explanation:
The production possibility curve or frontier shows the different bundles or combinations of two goods that be produced using the given resources and state of technology.
All the points on the production possibilities curve represent the combinations that are feasible and efficient.
The points below the curve show the points that are feasible but inefficient.
The points above the curve show the points that cannot be attained using the given level or resources and technology.