Question

The cost and revenue functions of a product are given by C(x) = 20 x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit?​

Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

The cost and revenue functions of a product are given by C(x) = 20 x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit?

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$\Large\fbox{\color{purple}{ SOLUTION }}$

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➡️Given that,

➡️Cost, C(x) = 20 x + 4000

➡️Revenue, R(x) = 60x + 2000

➡️We know that, profit = Revenue – Cost

➡️Now, subsitute the given data in the above formula,

➡️Profit = R(x) – C(x)

➡️Profit = (60x + 2000)-(20 x + 4000)

➡️Now, simplify it:

➡️Profit = 60x + 2000 -20x -4000

➡️Profit = 40x – 2000

➡️To earn some profit, 40x – 2000 > 0

➡️⇒40x > 2000

➡️⇒ x>2000/40

➡️⇒ x > 50

➡️Thus, the manufacturer should sell more than 50 items to realise some profit.

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Answer 2

Answer:

⭐ SOLUTION:- ⭐

➡️Given that,

➡️Cost, C(x) = 20 x + 4000

➡️Revenue, R(x) = 60x + 2000

➡️We know that, profit = Revenue – Cost

➡️Now, subsitute the given data in the above formula,

➡️Profit = R(x) – C(x)

➡️Profit = (60x + 2000)-(20 x + 4000)

➡️Now, simplify it:

➡️Profit = 60x + 2000 -20x -4000

➡️Profit = 40x – 2000

➡️To earn some profit, 40x – 2000 > 0

➡️⇒40x > 2000

➡️⇒ x>2000/40

➡️⇒ x > 50

➡️Thus, the manufacturer should sell more than 50 items to realise some profit.✔✔

Step-by-step explanation:

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