Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A manager wants to know how many units of each product to produce on a daily basis in order to achieve the highest contribution to

A manager wants to know how many units of each product to produce on a daily basis in order to achieve the highest contribution to profit. Production requirements for the products are shown in the following table. Product Material 1 (pounds) Material 2 (pounds) Labor (hours) A 2 3 3.2 B 1 5 1.5 C 6 ?? 2.0 Material 1 costs $5 a pound, material 2 costs $4 a pound, and labor costs $10 an hour. Product A sells for $80 a unit, product B sells for $90 a unit, and product C sells for $70 a unit. Available resources each day are 200 pounds of material 1; 300 pounds of material 2; and 150 hours of labor. The manager must satisfy certain output requirements: The output of product A should not be more than one-third of the total number of units produced; the ratio of units of product A to units of product B should be 3 to 2; and there is a standing order for 5 units of product A each day. Formulate a linear programming model for this problem, and then solve.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Business Statistics

Authors: Robert A Donnelly, Robert Donnelly Jr

2nd Edition

0133852288, 9780133852288

More Books

Students also viewed these General Management questions

Question

3. Im trying to point out what we need to do to make this happen

Answered: 1 week ago

Question

1. I try to create an image of the message

Answered: 1 week ago