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A manufacturer estimates that the average worker can assemble products according to the functionP(t)=8.47t+10t+6where  t  ≥  0 ,  t  represents the number of weeks since the worker was hired, and  P(t)  represents the number of products the worker can assemble in an hour.How many products can the average worker assemble per hour when he or she first starts working?a) 5.07b) 1.67c) 24.47d) 2.64e) 10.00f) None of these.

Respuesta :

Answer:

Infinity

Step-by-step explanation:

We assume the function is:

[tex]8.47t^2+10t+6[/tex]

WE can determine the average products assembled by determining the integral with a limit of t≥0. This means the t tends from 0 to infinity. Therefore:

[tex]\int\limits^i_0 {8.47t^2+10t+6} \, dx[/tex]

Infinity isn't a number but a limit

From 0 to infinity

[tex]\lim_{t \to \infty} 2.8233t^2+5t^2+6t -0[/tex]

which is infinity

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