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 change should you expect in operating cash flows next year would be 19.60%
Explanation:
In order to calculate the change should you expect in operating cash flows next year given your sales forecast we would have to make the following calculation:
change should you expect in operating cash flows=operating leverage rating*percentage of decrease sales next year
change should you expect in operating cash flows=2.8*0.07
change should you expect in operating cash flows=19.60%
The change should you expect in operating cash flows next year would be 19.60%
Answer:
Since the capital account and owner's equity accounts are expected to have credit balances, the drawing account (having a debit balance) is considered to be a contra account. In addition, the drawing account is a temporary account since its balance is closed to the capital account at the end of each accounting year.
Explanation:
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The shortest-route problem is a special case of the transshipment problem while transportation problems prevent shipments from entering and exiting some nodes, the transshipment problem does.
<h3>What are transshipment?</h3>
Transshipment is the loading and unloading of goods and stuff from one transport vehicle to another vehicle.
Transshipment happens because of no direct connection between the ports, due to this the goods are transported to different vehicles.
Thus, while transportation problems prevent shipments from entering and exiting some nodes, the transshipment problem does.
Learn more about transshipment
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Answer:
b. inputs and quantity of output
Explanation:
A production function is a relationship between inputs and the quantity of output. In other words, it is the entire production process that goes into creating a product. This includes the specific materials that need to be inputted into the process in order for the output to be exactly as needed in order for the product to come out as desired and the right quantity. Thus, creating a relationship between input and output
