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
A relatively inexpensive item that merits little shopping effort, is called Convenience product.
<h3>
What is the Product?</h3><h3>
</h3>
Product refers to the finished goods or the material that has been converted from the raw material to fulfill the needs of the customer. There are four types of product i.e. convenience goods, shopping goods, specialty products, and unsought goods.
Convenience product is that type of the product which can be purchased with the minimal efforts because it is cheap in value and can be purchased frequently.
In the above case, Carolina picks up the toothpaste which is the example of the Convenience product.
Learn more about Convenience product here:
brainly.com/question/7184191
#SPJ1
Answer:
The answer is "2.45%".
Explanation:
The answer of option c:
Reduce power by 950 dollars:
In this question it will need to once again take the latest energy cost for analytical hierarchical productivity.
→ Total Input 
Consumer rates 
Initial efficiency multi-factor= 0.0245
Answer:
C. W-4
Explanation:
The W-4 form acts as the Employee’s Withholding Allowance Certificate. The employee completes the form and hands it over to the employer, who uses it to calculate how much income tax to withhold.
The details on the W-4 forms are necessary for tax computation. For instance, the employee declares their marital status and the number of dependents; this determines the applicable tax rates.
D. making profits on sales
