Question

a television manufacturing finds that the total cost for the production and marketing of x numbers of television set is sea of x is equal to 300 X square + 4200 X + 13500 if each product is sold for rupees 800 and 400 show the profit of the company is increasing​

Answer 1

Answer:

Break even is at 5

Profit is maximum at 7 products

Step-by-step explanation:

A television manufacturer finds that the total cost for the production and marketing of x

number of television sets is : c(x)=300x²+4200x+13,500.

Each product is sold for Rs.8,400.

Determine the break-even points.

300x²+4200x+13,500 = 8400x

=> 300x²- 4200x+13,500 = 0

=> x² - 14x + 45 = 0

=> x² - 5x - 9x + 45 = 0

=> x(x - 5) - 9(x - 5) = 0

=>(x - 9)(x - 5) = 0

=> x = 9  or x = 5

Break even is at 5

Profit = 8400x - (300x²+4200x+13,500)

= 4200x - 300x² - 13500

dP/dx = 4200 - 600x

=> x = 7

d²P/dx² = - 600

=> Profit is maximum at 7 prodcuts sell

after that Profit start reducing and its no more profitable after 9 products