Math, asked by rathisonam2209, 9 months ago

Q.The cost and revenue function of a product are given by C(x) = 2 x + 400 and R (x) = 6 x + 20 respectively , where x is the number of items produced by the manufacturer.Then, the number of items must sell to produce to realize some profit is​

Answers

Answered by atikshghuge
6

Answer:We have, profit = Revenue – Cost = (60x + 2000) – (20x + 4000) = 40x – 2000 To earn some profit, 40x – 2000 > 0 ⇒ x > 50 Hence, the manufacturer must sell more than 50 items to realise some profit. - the-cost-and-revenue-functions-of-a-product-are-given-by-c-x-20-x-4000-and-r-x-60x-2000

Step-by-step explanation:

Answered by Anonymous
91

\sf{Given} \begin{cases} \sf\green{C(x) = 20x + 4000} \\ \sf\green{R(x) = 60x + 2000} \end{cases} \\

We know that,

 \\ {\boxed{\sf\pink{Profit = Revenue – Cost}}} \\ \\

Now,

Subsitute the given data in the above formula,

Profit = R(x) – C(x)

 \\

Profit = (60x + 2000)-(20 x + 4000)

\implies 60x + 2000 -20x -4000

\implies 40x – 2000

 \\

To earn some profit,

⇒40x – 2000 > 0

⇒40x > 2000

⇒ x > 2000/40

⇒ x > 50

 \\

Thus,

\sf\purple{The\:manufacturer\:should\:sell\:more\:than} \\ \sf\purple{ 50\:items\:to\:realise\:some\:profit.}

 \\ \large{\overbrace{\underbrace{\underline{\underline{\boxed{\sf\green{IamManiz}}}}}}}

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