# Suppose that the supply of x units of a product at price p dollars per unit is given by p = 10 + 50 ln (3x + 1) (a) Find the rate of change of supply price with respect to

Suppose that the supply of x units of a product at price p dollars per unit is given by

p = 10 + 50 ln (3x + 1)

(a) Find the rate of change of supply price with respect to the number of units supplied.

(b) Find the rate of change of supply price when the number of units is 33.

(c) Approximate the price increase associated with the number of units supplied changing from 33 to 34.

p = 10 + 50 ln (3x + 1)

(a) Find the rate of change of supply price with respect to the number of units supplied.

(b) Find the rate of change of supply price when the number of units is 33.

(c) Approximate the price increase associated with the number of units supplied changing from 33 to 34.

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**Related Book For**

## Mathematical Applications for the Management Life and Social Sciences

**ISBN:** 978-1305108042

11th edition

**Authors:** Ronald J. Harshbarger, James J. Reynolds

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