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:
He has lost the previous files as he has been replacing them.
Explanation:
When you save a file in your computer, you need to save it with a name that is different from the names of the other files you have in the computer. If you save file with the same name of another file, you will replace that file and will lose the information you had. So according to this, as Jack is saving all his work for the class with the name of the course, it means that he has saved everything with the same name and he has lost the previous files because everytime he saves a new file he replaces the previous one.
Answer:
transferred-out 135,000
Explanation:
We solve using the following identity:
beginning WIP + cost added during the period:
total cost to be accounted for.
Then this value can be either ransferred-out r remain at the ending WIP
so we construct as follows:
beginning 0
added 180,000
Total cost 180,000
ending <u> (45,000) </u>
transferred-out 135,000
Answer:
req 1)
Plan A
0.42 x 150 + 0.17 x 70 = 74.9
Plan B
0.52 x 150 + 0.15 x 70 = 88.5
Plan C $80
req 2)
from 0 to 190 minutes Plan A
from 191 and beyond Plan C
req 3)
the proportion should be 1/6 daycalls and 5/6 evenings
Explanation:
150 day calls
70 minutes evening calls
Plan A
0.42 x 150 + 0.17 x 70 = 74.9
Plan B
0.52 x 150 + 0.15 x 70 = 88.5
Plan C $80
2) A will be preferable to B as it has the lower cost
now at some point C will be better as the cost is a flat rate
80 dollars / 0.42 per minute = 190.47
3) 0.42X + 0.17Y = 0.52X + 0.15Y
a minute of daycall is 10 cent higher in plan B
while a minute of evening call is 2 cent lower
thus, to balance there was to be 5 times more evening call than day times:
1:5 1 + 5 = 6
the proportion should be 1/6 daycalls and 5/6 evenings
Answer:
1. economic growth;
2. the size of the economy
Explanation:
According to the neoclassical standpoint on issues relating to macroeconomics, it is believed that, over a long period of time, the economy will vary around its potential GDP and its natural rate of unemployment.
Therefore, the size of the economy is defined by potential GDP, and wages and prices will adjust in an intelligent manner so that the economy will move back to its potential GDP level of output.
Hence, The neoclassical view holds that long-term expansion of potential GDP due to ECONOMIC GROWTH will determine THE SIZE OF THE ECONOMY
