Chapter 2.6, Problem 8E

(a)

To determine

The value of the current weekly profit. Where the weekly profit, in dollars, from selling of $x$ laptop computers, the profit is $P\left(x\right)=-0.004x^3-0.3x^2+600x-800$ and currentlyCrawford’s builds and sells $9$ laptop computers weekly.

(b)

To determine

To calculate: the amount of loss in profit if sales dropped to $8$ laptops weekly when the weekly profit, in dollars, from the production and sale of $x$ laptop computers is $P\left(x\right)=-0.004x^3-0.3x^2+600x-800$ and currently Crawford’s builds and sells $9$ laptop computers weekly.

(c)

To determine

To calculate: The amount of the Marginal profit when selling $9$ laptops. Where the weekly profit, in dollars, from the production and sale of $x$ laptop computers is $P\left(x\right)=-0.004x^3-0.3x^2+600x-800$ and currently Crawford’s builds and sells $9$ laptop computers weekly.

(d)

To determine

To calculate: The estimate the weekly profit from the production and sale of $10$ laptops. Byusing part (a) and (c).