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

$Given \: Total \: sale \:for \: the \:year \:2019$

$=1.75x^{2} + 1.25x + 7 \: ---(1)$

$Total \: cost \: of \: producing \: x \:autos$

$= 1.03 x^{2} + 1.21x - 4\: ---(2)$

$\red{ Total \:profit \: earned\:by \: the \: company}$

$= (1) - (2)$

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

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

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

$\green {= 0.72x^{2} - 0.04x + 11}$

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