# Answered Essay: Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows.

Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows.

 Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2

The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 1000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are \$8, \$6, and \$9, respectively.

a. Provide the mathematical formulation for this problem. Carefully define your decision variables, objective function, model constraints, and non-negativity statement.

Decision variables:

Let

A = units of component 1 manufactured

B = units of component 2 manufactured

C = units of component 3 manufactured

Objective function:

Objective function is to maximize the profits

Max Z = 8A + 6B + 9C

Constraints:

6A + 4B + 4C <= 7200 (Shaper machine available minutes)

4A + 5B + 2C <= 6600 (Grinder machine available minutes)

C <= 200 (No more than 200 units of component 3 can be sold)

B <= 1000 (Component 2 can be sold up to 1000 units)

A <= 1000 (Component 1 can be sold up to 1000 units)

A>=600 (company already has orders for 600 units of component 1 )

A,B,C>= 0 (Non-negativity costraints)

Pages (550 words)
Approximate price: -

Help Me Write My Essay - Reasons:

Best Online Essay Writing Service

We strive to give our customers the best online essay writing experience. We Make sure essays are submitted on time and all the instructions are followed.

Our Writers are Experienced and Professional

Our essay writing service is founded on professional writers who are on stand by to help you any time.

Free Revision Fo all Essays

Sometimes you may require our writers to add on a point to make your essay as customised as possible, we will give you unlimited times to do this. And we will do it for free.

Timely Essay(s)

We understand the frustrations that comes with late essays and our writers are extra careful to not violate this term. Our support team is always engauging our writers to help you have your essay ahead of time.

Customised Essays &100% Confidential

Our Online writing Service has zero torelance for plagiarised papers. We have plagiarism checking tool that generate plagiarism reports just to make sure you are satisfied.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

HOW OUR ONLINE ESSAY WRITING SERVICE WORKS

Let us write that nagging essay.

By clicking on the "PLACE ORDER" button, tell us your requires. Be precise for an accurate customised essay. You may also upload any reading materials where applicable.

Pick A & Writer

Our ordering form will provide you with a list of writers and their feedbacks. At step 2, its time select a writer. Our online agents are on stand by to help you just in case.

Editing (OUR PART)

At this stage, our editor will go through your essay and make sure your writer did meet all the instructions.