NAME:

POINTS:

Directions: Print this and clearly provide handwritten work in the space provided. If additional space is needed, please use the back,

and indicate where to find your work. All work must be shown to receive any credit. Utilize only methods presented in this course.

Singer Motor Corporation manufactures electric motors for battery$-$powered cars in two plants and ships them to two

warehouses. The maximum capacities for Plant I and Plant II are $600$ and $800$ per week, respectively. For the week, Singer

plans to ship $300$ motors to Warehouse A and $400$ motors to Warehouse B$.$ The shipping costs from Plant I to Warehouse A

and Warehouse B are $$12$ and $$16,$ respectively. Shipping costs from Plant II to Warehouse A and Warehouse B are $$20$ and

$$18$ respectively. How many motors should Singer ship from each plant to each warehouse in that week if the shipping

costs are to be kept to a minimum? SET UP THE LINEAR PROGRAMMING PROBLEM, DO NOT SOLVE.

a$.$ Define the two variables.

Let $x=$

Let $y=$

b$.$ Write the linear programming problem. Write all constraints in standard form $($variables on one side and constants

on the other side of the inequality$).$