A manufacturer produces two models of patio furniture. Model A requires 2 hr for assembly and 1.2 hr for painting. Model B requires 3 hr for assembly and 1.5 hr for painting. The production information and profit for selling each model are given in the table. Assembly Painting Profit Model A 2 hr 1.2 hr $150 Model B 3 hr 1.5 hr $200 The manufacturer has 1200 hr of labor available for assembly and 660 hr of labor available for painting. a. Determine the number of model A units and the number of model B units that should be produced to maximize profit assuming that all furniture will be sold. b. What is the maximum profit under these constraints? c. If the profit on model A units is $180 and the profit on model B units remains the same, how many of each type should the manufacturer produce to maximize profit?

A manufacturer produces two models of patio furniture. Model A requires 2 hr for assembly and 1.2 hr for painting. Model B requires 3 hr for assembly and 1.5 hr for painting. The production information and profit for selling each model are given in the table. Assembly Painting Profit Model A 2 hr 1.2 hr $150 Model B 3 hr 1.5 hr $200 The manufacturer has 1200 hr of labor available for assembly and 660 hr of labor available for painting. a. Determine the number of model A units and the number of model B units that should be produced to maximize profit assuming that all furniture will be sold. b. What is the maximum profit under these constraints? c. If the profit on model A units is $180 and the profit on model B units remains the same, how many of each type should the manufacturer produce to maximize profit?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.CR: Chapter Review

Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...

See similar textbooks