Revenue is the total amount of income generated by the sale of goods or services related to the company's primary operations.
Revenue, also known as gross sales, is often referred to as the "top line" because it sits at the top of the income statement.
Income, or net income, is a company's total earnings or profit.

Revenue = p(x) × x = ( 300 - x /30)x

⇒R(x) = 300x - x²/30

R'(x) = $\frac{d}{dx} (300 - \frac{x^{2} }{30} ) = \frac{d}{dx} (300x) - \frac{d}{dx} (\frac{x^{2} }{30})$

300 - x /15 = 0

⇒ x = 300 . 15 = 4500

∴ Max Revenue = R(4500) = 300 . 4500 - 4500²/30 = 675000 $

Profit = Revenue - cost

P(x) = 300x - x²/30 - (75000 + 60x)

P'(x) = d/dx ( 300x - x²/30 - ( 75000 + 60x)

= d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60z))

= 300 - x /15 -60

= 240 - x /15

P'(x) = 0 ⇒ x = 240 . 15 = 3600

P(3600) = 300 .3600 - 3600²/30 - (75000 +60 . 3600) =357000

∴ Max profit is 357000$ when 3600 sets are manufactured

After taxation , p(x) = 300x - x²/30 - ( 75000 + 60x) -5x

P'(x) = 300x - x²/30 - ( 75000 + 60x) -5x

= d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60x ) - d/dx (5x)

= 300 - x/15 - 60 -5 = 235 - x/15

P'(x) = 0 ⇒ x = 235 . 15 = 3525

Pmax = P(3525) = 300 .3525 - 3525²/30 - ( 75000 + 60 .3525) - 5 .3525= 678375/2 (Decimal ; 339187.5)

P(3525) = 300 - 3525/30 = 365/2 = 182.5

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5 0

1 year ago

qaws [65]

He has 8 because 6/48 is 8

3 0

3 years ago

Andru [333]

.775 p2 572 is your answer

7 0

3 years ago