# A company makes two products in a single plant. It runs this plant for 100 hours each

## Question:

A company makes two products in a single plant. It runs this plant for 100 hours each week. Each unit of product A that the company produces consumes two hours of plant capacity, earns the company a contribution of $1000, and causes, as undesirable side effects, the emission of 4 ounces of particulates. Each unit of product B that the company produces consumes one hour of capacity earns the company a contribution of $2000, and causes, as undesirable side effects, the emission of 3 ounces of particulates and 1 ounce of chemicals. The EPA (Environmental Protection Agency) requires the company to limit the particulate emission to at most 240 ounces per week and chemical emission to at most 60 ounces per week.

By how much should the company be willing to reduce its weekly emission of particulates if the EPA would allow it to emit one additional ounce of chemicals each week?

**Related Book For**

## Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair