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

$1.49

Textbook Solution ☑:

Solution Available in MS-Word File.

“Limited Time Offer”

QUESTION:

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. The production requirements for the products are shown in the following table.

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; there is a standing order for 5 units of product A each day. Formulate a linear programming model for this problem, and then solve it.


You must be registered and logged in to an account to download the solution

Reviews

There are no reviews yet.

Be the first to review “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”

Your email address will not be published. Required fields are marked *