Dell Computer's primary consumer business takes orders from customers for specific configurations of desktop and laptop computer
1 answer:
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Answer:
$45.5
Explanation:
For a firm, profit is equal to total revenue minus total cost. This can be represented mathematically as follows:
π = R - C ................................................................................................... (1)
Where π represents profit, R represents total revenue and C represents total cost.
Total revenue (R) is unit selling price (P) multiply by the sales volume (S). This is represented mathematically as follows:
R = P * S ...................................................................................................... (2)
From the question, sales volume is given as follows:
S = $100 – P .............................................................................................. (3)
We then substitute for S in equation (2) and solve as follows:
R = P($100 – P) = $100P – ............................................................... (2a)
From the question, C is given as:
C = $917 + 9S .............................................................................................. (4)
We then substitute for S in equation (4) and solve as follows:
C = $917 + 9($100 – P) = $917 + $900 – 9P = $17 – 9P .................. (4a)
To derive the profit function, the solution for R in equation (2a) and the solution for C in equation (4a) are substituted into equations (1) above and then solved as follows:
π = ($100P – ) – ($17 – 9P) = $100P –
– $17 + 9P
= $100P + 9P – – $17
π = $109P – – $17 ................................................................................ (1a)
Equation (1a) is the profit function. The calculation of the derivative of the profit function (1a) with respect to the price is obtained as follows:
dπ/dP = $109 – 2P = 0 ................................................................................. (5)
From equation (5), we can solve for P as follows:
$109 – 2P = 0
$109 = 2P
2P = $109
P = $109/2
P = $54.5 ............................................................................................................ (6)
To determine the sales volume, we substitute 54.5 in equation (6) for P in the product’s sales volume (S) in equation (3) and we then solve as follows:
S = $100 – $54.5 = $45.5
Therefore, the sales volume (S) at which the firm’s profit is a maximum is $45.5.
Answer:
Explanation:
The Solow Growth Model is a short run growth model of economic growth which shows or illustrates the changes in the level of output in an economy over time, as a result of changes in
- savings rate
- population growth rate
- rate of technological progress.
The diagram attached explains the model.
In the short run, increase in technology will increase the output per worker (looking from the microeconomic perspective) and the aggregate output (looking from the macro perspective) in the economy.
This increase in output is later stabilized in the long run.
