13. -4 points HarMathAp11 9.2.039. Suppose that the weekly sales volume (in thou

Question

13. -4 points HarMathAp11 9.2.039. Suppose that the weekly sales volume (in thousands of units) for a product is given by 34 (p 8)2/5 where p is the price in dollars per unit. (a) Is this function continuous for all values of p? O Yes, this function is continuous for all values of p No, this function is not continuous for all values of p. (b) Is this function continuous at p 24? O Yes, this function is continuous at p = 24. No, this function is not continuous at p 24. (c) Is this function continuous for all p 2 0? Yes, this function is continuous for all p 2 0. No, this function is not continuous for all p 2 0. (d) What is the domain for this application? (Enter your answer using interval notation.)

Explanation / Answer

(a). The value of Y is not defined at p=-8 because at this the value of Y tends to infinity which shows that it is not continuous.

(b). The value of Y at p=24

Y=34/(24+8)2/5

Y=34/4

(c). Yes the function is continuos for all values of p>=0 because the value of Y is defined for all positive values of p.

(d). The domain of this function is

p belongs to R-{-8}

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