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Two models R1 and R2 are given for revenue (in billions of dollars per year) for a large corporation. The model R1 gives projected annual revenues from 2008 through 2015, with t = 8 corresponding to 2008, and R2 gives projected revenues if there is a decrease in the rate of growth of corporate sales over the period. Approximate the total reduction in revenue if corporate sales are actually closer to the model R2. (Round your answer to three decimal places.) R1 = 7.21 + 0.55t R2 = 7.21 + 0.44t

Respuesta :

Answer:

7.0422  is the correct answer to the given question .

Step-by-step explanation:

Given

R1 = 7.21 + 0.55t

R2 = 7.21 + 0.44t

Decrease in the revenue  can be determined by the formula

[tex]= Reduction\ in\ R1\ -\ Reduction\ in\ R2[/tex]

[tex]= (7.21 + 0.55t ) - (7.21 + 0.44t)[/tex]

=0.11 t

Now overall Reduction can be determined by the interval from t=8 to t=15

Consider c=0.11 t

[tex]\frac{dc}{dt}[/tex]=0.11

Now integrated the equation from t=8 to t=15 to determine total reduction in revenue

[tex]=\int_{8}^{15}\sqrt{1+0.11^2}\ dL[/tex]

[tex]=7.0422[/tex]

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