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:
Jerry's gain on the sale= $28,500
Explanation:
When Jerry sells his interest in JJM to Lucia his basis ($54,250) is what he owes and will be taken out of the proceeds he will get for selling his interest in the company.
Therefore
Jerry's gain on the sale= Amount of sale- Jerry's basis
Jerry's gain on the sale= 82,750- 54,250
Jerry's gain on the sale= $28,500
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Answer:
1) variable cost = $1.56 per day
fixed costs = $1,395 per month
2) another aspect that increases or decreases electrical consumption is the weather. During very hot days, more people use the air conditioner, which increases electricity costs. Very cold weather will result in a similar increase in electric consumption.
Explanation:
Month Occupancy-Days Electrical Costs
January 1,736 $ 4,127
February 1,904 $ 4,207
March 2,356 $ 5,083
April 960 $ 2,857
May 360 $ 1,871
June 744 $ 2,696
July 2,108 $ 4,670
<u>August 2,406 $ 5,148 </u>
September 840 $ 2,691
<u>October 124 $ 1,588 </u>
November 720 $ 2,454
December 1,364 $ 3,529
variable cost = (highest activity cost - lowest activity cost) / (highest activity level - lowest activity level) = ($5,148 - $1,588) / (2,406 - 124) = $1.56 per day
fixed costs = $5,148 - ($1.56 x 2,406) = $1,395
If the customer wants "to table" the discussion on price then I assume he wants to hold it for later ie not deal with it right now but defer it to a later date perhaps to when more data is available either from Melanie or from him to be able to make the discussion more meaningful.
