Question

the cost and revenue function of a product are given by c x = 2 X + 400 and RX equal to 6 X + 20 respectively where X is the number of items produced by the manufacture how many times the manufacture machine to realize some profit

Answer 1

75 is less than 95 + 72 + 73 + 83 + X upon 5 is less than 1875 is less than 323 plus X upon 5 less than 18 equal to 375 393 + X = 10400 equal to 5200000 then X is less than 77

Answer 2

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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

Hope it's Helpful....:)