Question

**Linear Programming**

*A company makes two products with a profit of one dollar per
ton of product A and two dollars per ton of product B. To produce
one ton of product A two tons of water is needed and for one ton of
product B one ton of water is needed. The factory only has 20 tons
available to produce the products.*

*The product needs a process of two steps.
For the first step the company hires a person which must work for
at least 36 weeks. One ton of product A requires 10 weeks of work
on step one and one ton of product B requires one week of work on
step one.
Step two another person is hired who also must work for at least 36
weeks. On step two, one ton of product A requires two weeks of work
and one ton of product B requires 6 weeks of work.*

*Formulate the problem - Draw the feasible region (polygon) (maybe excel)**Find the optimal solution. Report the maximum profit and how many ton of product*

A and B should be produced to achieve the optimal profit.*Which constraints are not binding for the optimal solution (has a slack) ?**Get the sensitivity report and explain what it tells you.*

Answer #1

You manufacture two products, A and B, each of which you sell
for $1 profit. Product A requires 5 blobs and 3 globs, and product
B requires 3 blobs and 5 globs. Your supplier has 120 blobs and 120
globs available.
Use the Excel Solver (or graphical analysis) to answer the
following questions.
Starting with the original scenario, where A and B each make $1
profit, your supplier has up to 120 blobs and 120 globs available,
but you can...

The Business Situation
The Mason Wine Company produces two kinds of wine – Mason Blanc
and Mason Merlot. The wines are produced in 1,000-gallon batches.
The profit for a batch of Blanc is $12,000 and the profit for a
batch of Merlot is $9,000.
The wines are produced from 64 tons of grapes that the company
has acquired. A 1,000-gallon batch of Blanc requires 4 tons of
grapes and a batch of Merlot requires 8 tons.
However, the production is...

A company manufactures two products, A and B, on two machines, I
and II. The profit is $3 on each unit of product A and $4 on each
unit of product B. To manufacture a unit of product A requires 6
minutes on machine I and 5 minutes on machine II. To manufacture a
unit of product B requires 9 minutes on machine I and 4 minutes on
machine II. There are 300 minutes of machine time available on
machine...

Choosing the Optimal Product Mix with One Constrained
Resource
Billings Company produces two products, Product Reno and Product
Tahoe. Each product goes through its own assembly and finishing
departments. However, both of them must go through the painting
department. The painting department has capacity of 1,650 hours per
year. Product Reno has a unit contribution margin of $125 and
requires five hours of painting department time. Product Tahoe has
a unit contribution margin of $52 and requires two hours of...

Oakton Manufacturing makes two types of rocking chairs
specifically designed for
men and women known as the His and Hers models. Each chair requires
four legs
and two rockers but differing numbers of wooden dowels. Each His
chair requires
four short dowels and eight long dowels while each Hers chair
requires eight short
dowels and four long dowels. Each His chair contributes $10 in
profit while each
Hers chair contributes $12. The company has 900 legs, 400 rockers,
1,200 short...

In Zhuang LTD , data concerning two products are Contribution
margin per unit—Product A $10, Product B $12; machine hours
required for one unit—Product A 2, Product B 3.
a) Calculate the contribution margin per unit of the limited
resource for each product:
Product A: $ Answer per hour
Product B: $ Answer per hour
b) If Zhuang LTD has a limited number of machine hours and can sell
all the units produced of either product, which product should it...

In Zhuang LTD , data concerning two products are Contribution
margin per unit—Product A $10, Product B $12; machine hours
required for one unit—Product A 2, Product B 3.
a) Calculate the contribution margin per unit of the limited
resource for each product:
Product A: $ Answer per hour
Product B: $ Answer per hour
b) If Zhuang LTD has a limited number of machine hours and can sell
all the units produced of either product, which product should it...

Bryant's Pizza, Inc. is a producer of frozen pizza products. The
company makes a profit of $1.00 for cach regular pizza it produces
and $1.50 for deluxe pizza producedEach pizza includes a
combination of dough mix and topping mix Currently the firm has 150
pounds of dough mix and 50 pounds of topping mix Each regular pizza
usesI pound of dough mix and 4 ounces of topping mixEnch deluxe
pizza uses 1 pound of dough mix and 8 ounces of...

A company produces two products in one of its plants: A and B.
Annual production of Product A is 3000 units and of Product B is
2000 units. Product A has 25 components and Product B has 36
components. For Product A, 40% of the components are made in the
plant, while 60% are purchased parts. For Product B, 30% of the
components are made in the plant, while 70% are purchased. For
these two products taken together, what is...

A company manufactures two products: large fans and medium fans.
Each large fan requires 3 hours of wiring and 2 hours of drilling.
Each medium fan requires 2 hours of wiring and 1 hour of drilling.
There are 480 hours of wiring time available and 280 hours of
drilling time available. Each large fan yields a profit of $25.
Each medium fan yields a profit of $18. The company wants to
manufacture at least 20 large fans. The objective is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 15 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago