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
No. Day trading refers to trading positions that are opened and closed the same day.
Answer:
According to the one percent rule, you should set aside at least one percent of your home's value every year for home maintenance. For a $360,000 house, this works out to $3,600 per year, or $300 per month.
Answer:
They Both deal with the Wellbeing of the Human Talent
Explanation:
While the medical profession deals with physical, and psychotherapy treatment of the human being and the Human Resources function deals with the employee welfare at work place such as work conditions, training, harassments at work place, both these professions try to improve the wellbeing of the Human Talent.
Answer:
Explanation:
<u>The first step</u> will be get the contribtuion margin:
800,000 - 6000,000 = 200,000
This is the amount after variables cost used to pay the fixed cost and make a gain.
Second, we calcualte the contribution margin ratio
200,000/800,000 = 0.25
Per dollar of sales 25 cents are available to pay the fixed cost.
Now, we calculate the break even point in dollars
