A Business Consultant Analyzing a Small Computer Company Finds That $x$

question 33

Essay

A business consultant analyzing a small computer company finds that if the company produces and sells $x$ microprocessors it has a total profit function (in thousands of dollars) given by $p ( x ) = 0.4 x ^ { 2 } - 0.0043 x ^ { 3 } + 7 x - 244$ , with $x$ (in hundreds), being the number of processors produced and sold annually.
(a) Graph the profit function and determine how many processors must be produced and sold in order to break even.
(b) What is the domain of the profit function where the company actually loses money?
(c) Estimate the number of processors that must be produced in order to give the company the largest possible profit.
(d) Estimate the largest profit.

---

Definitions:

Interview Thank-you Messages

Messages sent by a candidate after an interview to express gratitude, reiterate interest in the position, and highlight key points discussed.

Overzealous

Describes someone who is excessively enthusiastic or eager, beyond what is reasonable or appropriate.

Personalize

To tailor or customize something to fit individual preferences, needs, or specific characteristics of a person.

Employment Weakness

Refers to areas where an employee or job applicant lacks strength or proficiency, often addressed during evaluations or interviews.