Question

An auto manufacturing company wants to compile a profit /loss statement. Total sale for the year 2019 is given by expression 1.75 x2+ 1.25 x + 7 ,where x is number auto manufactured per year .The total cost of producing x autos is given by expression 1.03 x2 + 1.21 x - 4 . What is the total profit earned by the company for the year 2019?

Answer 1

0.72x^2 + 0.04x + 11 is the total profit earned by the company for the year 2019.

Step-by-step explanation:

Given that,

Total sale for the year 2019 = 1.75x^2+ 1.25x + 7

Total cost of production = 1.03x^2 + 1.21x - 4

To find,

Total profit earned by the company for the year 2019 = ?

Procedure:

Total profit earned = Total sale - Total cost of production

= (1.75x^2+ 1.25x + 7) - (1.03x^2 + 1.21x - 4)

= 1.75x^2+ 1.25x + 7 - 1.03x^2 - 1.21x + 4

= (1.75 - 1.03)x^2 + (1.25 - 1.21)x + 7 + 4

= 0.72x^2 + 0.04x + 11

∵ 0.72x^2 + 0.04x + 11 is the total profit for the year 2019.

Learn more: find the profit

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