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

Answer:

Giventotalsalefortheyear2019=1.75x2+1.25x+7−−(1)

Total \: production \: cost = 1.03x^{2} +1.21x - 4 \: --(2)Totalproductioncost=1.03x2+1.21x−4−−(2)

\begin{gathered} \red{ Total \: profit } = Total \: sale - Total \: production \:cost \\= 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\end{gathered}Totalprofit=Totalsale−Totalproductioncost=1.75x2+1.25x+7−(1.03x2+1.21x−4)=1.75x2+1.25x+7−1.03x2−1.21x+4=(1.75−1.03)x2+(1.25−1.21)x+7+4=0.72x2+0.04x+11

Therefore.,

\red{ Total \: profit } \green { = 0.72x^{2} + 0.04x + 11}Totalprofit=0.72x2+0.04x+11