You are the manager of the industry which produce of H.SO4, which you' sell in barrels at a rate of P barrels per day. The cost per barrel produced is C-51 + 0.2P + 9000/P in dollars /barrel For example, for P = 100 barrels/day, C= $150/barrel. The selling price per barrel is $300. Detemine: (a) The production level giving the minimum cost per barrel. (b) The production level which maximizes the profit per day. (c) The production level at zero profit.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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You are the manager of the industry which produce of H,SO1, which you' sell in barrels at a rate of P
barrels per day. The cost per barrel produced is
C- 51 + 0.2P + 9000/P in dollars /barrel
For example, for P- 100 barrels/day, C= S150/barrel. The selling price per barrel is $300.
Detemine:
(a) The production level giving the minimum cost per barrel.
(b) The production level which maximizes the profit per day.
(c) The production level at zero profit.
(d) Why are the answers in (a)-and (b) different?
Transcribed Image Text:You are the manager of the industry which produce of H,SO1, which you' sell in barrels at a rate of P barrels per day. The cost per barrel produced is C- 51 + 0.2P + 9000/P in dollars /barrel For example, for P- 100 barrels/day, C= S150/barrel. The selling price per barrel is $300. Detemine: (a) The production level giving the minimum cost per barrel. (b) The production level which maximizes the profit per day. (c) The production level at zero profit. (d) Why are the answers in (a)-and (b) different?
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