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:
Balance in Prepaid insurance as of December 31 is $18,750
Explanation:
<em> </em>Computation of Prepaid Insurance
Insurance 1 ($34,200 * 6/18) $11,400
Insurance 2 ($14,700 * 12/24) <u>$7,350 </u>
Total Prepaid Insurance <u>$18,750</u>
Answer:
Data Quality Principle
Explanation:
Collected data is said to be relevant if it is a true representation of real world facts. If it is not then conclusions drawn from it will be incorrect.
Data should be complete, consistent, have integrity, and relevant for a specific use.
For example in marketing, a company uses names and contact information to promote their goods and services. The data needs to be correct and updated for it to be useful. Assume a customer has changed his address and phone number, and these were not updated. It will be difficult for the company to conduct business with him.
Answer: -$20,529.60
Explanation:
Net Present value of Y = Present Value of Inflows - Present value of Outflows
Present Value of Y inflows
$32,000 inflows for 5 years. This is therefore an annuity
Present value of annuity = Annuity * Present value interest factor, 9%, 5 years
= 32,000 * 3.8897
= $124,470.40
Net Present Value = 124,470.40 - 145,000
= -$20,529.60
In an offset, <span>one party agrees to purchase goods and services with a specified percentage of the proceeds from the original sale and this party can fulfill the obligation with any firm in the country to which the sale is being made.</span>
