1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nonamiya [84]
3 years ago
14

Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The p

rofits per unit are $57, $93, and $141, respectively. The production requirements per unit are as follows:
Number of
Fans Number of
Cooling Coils Manufacturing
Time (hours)
Economy 1 1 8

STandard 1 2 12

Deluxe 1 4 14

For the coming production period, the company has 320 fan motors, 380 cooling coils, and 3200 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows:

Max 57E + 93S + 141D
s.t.
1E + 1S + 1D ≤ 320 Fan motors
1E + 2S + 4D ≤ 380 Cooling coils
8E + 12S + 14D ≤ 3200 Manufacturing time
E, S, D ≥ 0
The sensitivity report is shown in the figure below.

Optimal Objective Value = 20400.00000
Variable Value Reduced Cost
E 260.00000 0.00000
S 60.00000 0.00000
D 0.00000 24.00000
Constraint Slack/Surplus Dual Value
Fan motors 0.00000 21.00000
Cooling coils 0.00000 36.00000
Manufacturing time 400.00000 0.00000
Variable Objective
Coefficient Allowable
Increase Allowable
Decrease
E 57.00000 12.00000 10.50000
S 93.00000 21.00000 8.00000
D 141.00000 24.00000 Infinite
Constraint RHS
Value Allowable
Increase Allowable
Decrease
Fan motors 320.00000 60.00000 130.00000
Cooling coils 380.00000 100.00000 60.00000
Manufacturing time 3200.00000 Infinite 400.00000
a. Identify the range of optimality for each objective function coefficient. If there is no limit, then enter the text "NA" as your answer. If required, round your answers to one decimal place.

Objective Coefficient Range
Variable lower limit upper limit
E
S
D
b. Suppose the profit for the economy model (E) is increased by $6 per unit, the profit for the standard model (S) is decreased by $2 per unit, and the profit for the deluxe model (D) is increased by $4 per unit. What will the new optimal solution be? If required, round your answers to three decimal places. If your answer is zero, enter "0".

Optimal Solution
E
S
D
If required, round your answer for Total Profit to two decimal places.

Total Profit: $

c. Identify the range of feasibility for the right-hand-side values. If there is no limit, then enter the text "NA" as your answer. If required, round your answers to one decimal place.

Right-Hand-Side-Range
Constraints lower limit upper limit
Fan motors
Cooling coils
Manufacturing time
d. If the number of cooling coils available for production is increased by 120, will the dual value for that constraint change?

YES because the allowable increase for cooling coils is _____ without changing the optimal solution.

Business
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

Detailed solution is given below:

You might be interested in
With regard to New United Motor Manufacturing, Inc. (NUMMI), why did General Motors (GM) enter into a strategic alliance with To
hjlf

Answer:

to learn the lean manufacturing system pioneered by Toyota

Explanation:

The main reason for this strategic alliance was in order for General Motors to learn the lean manufacturing system pioneered by Toyota. The lean manufacturing system is a methodology derived from Toyota's 1930 operating model "The Toyota Way" which focuses on minimizing waste within manufacturing systems while at the same time being able to maximize productivity. This provides a great benefit to any manufacturing company, hence why General Motors was interested.

8 0
3 years ago
The Geostar Company, leading manufacturer of wireless communication devices, is considering three cost-reduction proposals in ts
S_A_V [24]

Answer: Alternative 3 will be selected.

Explanation:

The system that should be selected is the alternative that is better than the other alternatives by being higher than MARR if selected.

First compare A1 to A0

The rate of return here is 18% which is higher than the MARR of 15% so Alternative 1 should be chosen over A0 which is to do nothing.

Compare A1 to A2

If A2 is chosen over A1, the incremental return is 10% which is less than the MARR of 15% so A2 should not be chosen over A1. A1 should instead be chosen over A2.

Compare A1 to A3

If A3 is chosen over A1 then the incremental return would be 18%. This is higher than the MARR of 15% so Alternative 3 should be chosen over Alternative 1.

Alternative 3 should be chosen over A1 which should be chosen over A2 and A0.

A3 will therefore be selected.

7 0
3 years ago
Should people volunteer? Why or why not? Justify your response. (Site 2)
Softa [21]

People should volunteer to help out the community and overall make you a better person. Helping out can drastically change someones overall appearance making them seem like a nicer and more chill human being to be around. Volunteering also works on Social Skills that many people lack every human should work on there social skills and interacting with people by volunteering.

5 0
3 years ago
Accepting a good-quality lot would be a _____.
fredd [130]

Accepting a good-quality lot would be a <u><em>correct decision.</em></u>

OPTION B "correct decision" is the right answer according to Acceptance Sampling model.

Utilized in quality assurance, acceptance sampling is a statistical method for measuring the reliability of a product or service. It enables a business to ascertain a batch's quality by randomly sampling from it. The standard of quality for the whole set of products will be assumed to be equal to that of the selected sample.

It is impossible for a corporation to constantly test every single one of its goods. It's possible there are too many to inspect efficiently or cheaply. Extensive testing could also compromise the product's quality or render it unmarketable. If a representative sample were tested, the results would be accurate without jeopardizing the rest of the production run.

Acceptance sampling is a method of quality control in which a representative sample of a product batch is tested and its quality is inferred from the results. Acceptance sampling is useful for quality control when implemented properly.

To know more about Acceptance sampling refer to:

brainly.com/question/28192251

#SPJ4

5 0
2 years ago
A. On April 1, the company hired an attorney for a flat monthly fee of $2,000. Payment for April legal services was made by the
Cerrena [4.2K]

Answer:

Apr 30

Dr Legal fees expense $2,000

Cr Legal fees payable $2,000

May 12

Dr Legal fees payable $2,000

Cr Cash $2,000

Apr 30

D Interest expense $2,559

Cr Interest payable $2,559

May 20

Dr Interest expense $5,118

Dr Interest payable $2,559

Cr Cash $7,677

Apr 30

Dr Salaries expense $3,200

Cr Salaries payable $3,200

May 03

Dr Salaries expense $4,800

Dr Salaries payable $3,200

Cr Cash $8,000

Explanation:

Preparation of the adjusting journal entries to prepare financial statements as of April 30 and the subsequent entry during May to record payment of the accrued expenses.

Apr 30

Dr Legal fees expense $2,000

Cr Legal fees payable $2,000

May 12

Dr Legal fees payable $2,000

Cr Cash $2,000

Apr 30

D Interest expense $2,559

Cr Interest payable $2,559

May 20

Dr Interest expense $5,118

($7,677- $2,559)

Dr Interest payable $2,559

Cr Cash $7,677

Apr 30

Dr Salaries expense $3,200

($8,000*2/5)

Cr Salaries payable $3,200

May 03

Dr Salaries expense $4,800

($8,000*3/5)

Dr Salaries payable $3,200

($8,000*2/5)

Cr Cash $8,000

8 0
3 years ago
Other questions:
  • Your firm is a U.K.-based importer of bicycles. You have placed an order with an Italian firm for €1,000,000 worth of bicycles.
    6·1 answer
  • Messing Company has an agreement with a third-party credit card company, which calls for cash to be received immediately upon de
    10·1 answer
  • On July 1, 2021, Tremen Corporation acquired 30% of the shares of Delany Company. Tremen paid $3,160,000 for the investment, and
    11·1 answer
  • Florida Keys Construction installs swimming pools. It calculates that warranty obligations are 3% of sales. For the year just en
    5·1 answer
  • While many projects may have a primary deliverable such as a house, almost all projects have additional deliverables such as doc
    6·1 answer
  • Chelsea Milling Company makes Jiffy packaged baking mixes. It was established in 1930. It has never spent one cent on advertisin
    8·1 answer
  • Autonomous consumption is defined as: Group of answer choices the level of consumption that depends only on the exchange rate. t
    7·1 answer
  • TO: All Employees SUBJECT: New Accounting Supervisor at KBL Toys, Starting August 4
    15·2 answers
  • In your opinion, do we need to use a structured decision making model to make decisions in business.
    10·1 answer
  • Find the tax percentages for each type of tax on your pay stub and insert them here. Then, press the calculate button when you’r
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!