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:
The correct answer is option b.
Explanation:
In an open economy, domestic firms have to face competition from the foreign producers. If firms face losses in the long run, because of import competition, these firms will leave the industry.
As the number of domestic firms get reduced, the demand curve of the other firms will become flatter. This happens because of the foreign firms that bring in a large variety of goods in the domestic market.
Answer:
If the environment changes then the businesses will make products you need in that environment so consumers will buy more of that product because they need it. For example, if it's summer you need new summer clothes so companies will start to make summer clothes so people will buy them instead of winter or fall clothes because of the environment. So businesses are getting money and the consumers are getting what they need or want.
Answer:
The factory overhead allocated per unit of Product A in the Painting Department = 7 * 15.623= $ 109.37
Plantwide Overhead Rate= $328,100 /21000= 15.623
Explanation:
Overhead Total Direct Labor Hours DLH per Product A B
Painting Dept. $245,600 9,50 7 7
Finishing Dept. 82,500 1 1,500 3 4
Totals $328,100 21,000 10 11
Plantwide Overhead Rate= Total Manufacturing Overhead/ Direct Labor Hours
Plantwide Overhead Rate= $328,100 /21000= 15.623
The factory overhead allocated per unit of Product A in the Painting Department = 7 * 15.623= $ 109.37
Answer:
$1,035
Explanation:
Each job costs $75
Job posted 15 jobs
Total income = $1,125. ($75X$15)
8% sales tax =$90 (0.08 x $ 1, 125)
Total cost= $ 1,123- $90
=$1,035
