MarcKrishkeMath1600Project9

# MarcKrishkeMath1600Project9 - Proj ects Chapter 9: Limits...

This preview shows pages 1–4. Sign up to view the full content.

P r o j e c t s Chapter 9: Limits and The Derivative Function

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Source: " Mathematical Applications" sixth edition by Harshbarger/Reynolds 1. (a) C(x) = 3x + 6000 R(x) = 12x – 0.001x 2 C'(x) = 3 R'(x) = 12 – 0.001(2)x = 12 – 0.002x The profit is P(x) = R(x) – C(x) = 12x – 0.001x 2 – 3x – 6000 = – 0.001x 2 + 9x – 6000 x Profit –0.001x 2 + 9x – 6000 3 = MC x MR 002 . 0 12 - = 4000 14000 3 4 4100 14090 3 3.8 4200 14160 3 3.6 4300 14210 3 3.4 4400 14240 3 3.2 4500 14250 3 3 4600 14240 3 2.8
4700 14210 3 2.6 4800 14160 3 2.4 4900 14090 3 2.2 5000 14000 3 2.0 (b) C(x) = 187x + 0.01x 2 + 15750 R(x) = 308x – 0.01x 2 C'(x) = 187 + 0.01(2)x = 187 + 0.02x R'(x) = 308 – 0.01(2)x = 308 – 0.02x The profit is P(x) = R(x) – C(x) = 308x – 0.01x 2 – 187x – 0.01x 2 – 15750 = –0.01x 2 + 121x – 15750 x Profit –0.01x 2 + 121x – 15750 x MC 02 . 0 187 + = x x MR 02 . 0 308 - = 3000 167250 247 248 3005 167254.5 247.1 247.9 3010 167258 247.2 247.8 3015 167260.5 247.3 247.7 3020

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/16/2011 for the course MATH 1600 taught by Professor Calc during the Spring '11 term at Macomb Community College.

### Page1 / 4

MarcKrishkeMath1600Project9 - Proj ects Chapter 9: Limits...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online