## Binding constraints for the original linear program model, Mathematics

Assignment Help:

A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds of special plastic material available a week to make two models, and 40 hours of production time that are available each week.

The spray king model requires 2 pounds of plastic per batch, while zapper needs 1 pound of plastic per batch. Production time in minutes per batch for spray king is 3 minutes. Each batch of zapper requires 4 min of production time.

The profit from each batch of spray king is \$8. For zapper, the profit is \$5 per batch. The company's objective is maximize weekly profit.

A manufacturing restriction is that the weekly production of spray king cannot exceed the weekly production zapper by more than 450 batches. This is referred to as the "mix" constraint. Also, the total weekly production for the two models combined cannot exceed 800 batches each week. This is referred to as the "total production" constraint.

Use the following variable:

X1= Number of batches of spray king manufactured each week

X2=Number of batches zapper manufactured each week

1. ) determine the Linear Programming model that represents the describes scenario.

2.) To maximize profit, what is the number of batches that should be produced weekly?

3.)Calculate the maximum weekly profit

4.) If the profit per batch of zapper falls to \$4, in order to have (i) multiple optimal solutions, and (ii) the profit per batch of zapper be less than that of spray king, the profit per batch of bag of spray king should be

A.) \$2.00                                                         B.) \$10.00

C.) \$8.00                                                         D.) \$5.00

5.) What is the binding constraints for the original linear program model?

#### , What is 124 out of 300 in percent

What is 124 out of 300 in percent ?

#### Articulate reasons and construct arguments, By such interactions children l...

By such interactions children learn to articulate reasons and construct arguments. When a child is exposed to several interactions of this kind, she gradually develops the ability

#### Think smarter, compare: 643,251; 633,512; and 633,893. the answer is 633,51...

compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?

#### Obligatory application and interpretation problem, Obligatory application/i...

Obligatory application/interpretation problem : Next, we need to do our obligatory application/interpretation problem so we don't forget about them. Example : Assume that the

#### Probability, Ratio of successes in 5 independent trials to the probability ...

Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?

#### Differential equation, degree of a diffrential equation

degree of a diffrential equation

#### Fuzzy decisionmaking using minimization of regret, why we use decision maki...

why we use decision making using minimization of regret method in uncertainty?

#### Concepts, what are core concepts of marketing?

what are core concepts of marketing?

#### Erin is painting a bathroom what is the area to be painted, Erin is paintin...

Erin is painting a bathroom along with four walls each measuring 8 ft through 5.5 ft. Ignoring the doors or windows, what is the area to be painted? The area of the room is the

#### Trigonometric ratios, How do you find the ratio for these problems?

How do you find the ratio for these problems?  