Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 232: 77

Answer

(a) $500+10x$ (b) $35x$ (c) $25x-500$ (d) $20$ units. No.

Work Step by Step

Identify the given quantities: $C_f=500, C_v=10, P_i=35$, we have: (a) the cost function: $C=C_f+C_vx=500+10x$ (b) the revenue function: $R=P_ix=35x$ (c) the profit function: $P=R-C=25x-500$ (d) break-even point: $P=0$ given $x=20$ units. With the restriction that no more than 18 units can be sold, the product should not be produced.
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