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
coldgirl [10]
3 years ago
6

A refinery blends three petroleum components into three grades of gasoline -regular, premium, and diesel. The maximum quantities

available of each component and the cost per barrel are as follows: Component Cost/Barrel Maximum Barrels Available/Day 6,000 3,000 4,500 10 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the various grades are as follows:
Grade Selling Price/Barrel Comen R (regular) 18 Component Specifications Not less than 30% of A Not more than 30% of B Not less than 30% of C Not less than 60% of C Not more than 50% of B less than 10% of A P (premium) 25 D (diesel) 15 The refinery wants to produce at least 5,000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the three components that will maximize profit.
1. Define the decision variables.
2. Build the objective function.
3. Build all the constraints.
Business
1 answer:
erica [24]3 years ago
6 0

Answer:

Explanation:

1)

<h3> </h3>

xij = barrels of component i used in grade j per day for i = A, B, C and j = R, P, D

2)

Max Z = 18 (x AR + x BR + x CR) + 25 (x AP + x BP + x CP) + 15 (x AD + x BD + x CD) – 9 (x AR + x AP + x AD) – 7 (x BR + x BP + x BD) – 10 (x CR + x CP + x CD)

or,

Max Z = 9 x AR + 11 x BR + 8 x CR + 16 x AP + 18 x BP + 15 x CP + 6 x AD + 8 x BD + 5 x CD

3)

Subject to,

x AR + x AP + x AD <= 6000

x BR + x BP + x BD <= 3000

x CR + x CP + x CD <= 4500

x Aj + x Bj + x Cj >= 5000 for j = R, P, D

x AR >= 30%*(x AR + x BR + x CR) or, 0.7 x AR - 0.3 x BR - 0.3 x CR >= 0

x BR <= 30%*(x AR + x BR + x CR) or, -0.3 x AR + 0.7 x BR - 0.3 x CR <= 0

x CR >= 30%*(x AR + x BR + x CR) or, -0.3 x AR - 0.3 x BR + 0.7 x CR >= 0

x CP >= 60%*(x AP + x BP + x CP) or, -0.6 x AP - 0.6 x BP + 0.4 x CP >= 0

x BD <= 50%*(x AD + x BD + x CD) or, -0.5 x AD + 0.5 x BD - 0.5 x CD <= 0

xAD >= 10%*(xAD + xBD + xCD) or, 0.9 xAD - 0.1 xBD - 0.1 xCD >= 0

xij >= 0 for i = A, B, C and j = R, P, D

You might be interested in
Determine the annual financing cost of a 6-month (182-day) 20,000 discounted bank loan at a stated annual interest rate of 10 pe
ratelena [41]

Answer:

10.52%

Explanation:

The computation of the annual financing cost is shown below:

First we have to calculate the interest cost that is shown below:

= $20,000 × 10% × 182 days ÷ 365 days

= $997.26

Now the used funds is

= $20,000 - $997.26

= $19,003

Now the annual financing cost is

= ($997 ÷ $19,003) × (365 days ÷ 182 days)

= 10.52%

We assume there are 365 days in a year

3 0
3 years ago
Experts in operations management for service industry type businesses stress:
stealth61 [152]
The correct answer would be : training employees on quality management
Operational managers are responsible in handling all company's resource to achieve its goal. In a service industry ( like public accounting, maid cleaning services, financial adviser, etc) quality topped any other aspect of the products. That's why experts in operation management will focus on the increasing employees' quality

5 0
3 years ago
A group of people or companies with a shared set of characteristics and needs or desires is called what?
Art [367]
It is called a Corporation
6 0
3 years ago
3. Hari Seldon is planning for his retirement 6 years from now. He plans to deposit $30000 each year for 6 six years (i.e., 6 de
erik [133]

Answer:

a) $231,468.30

b) $209,259.56

c) 9.59%

Explanation:

a) to calculate FV, n=6,I=10, pv=0 and pmt=30000

b) to calculate effect of inflation On FV

N=6, I =6 (nominal interest less inflation), pv=0 and pmt=30000

c) [(231468.30-209259.56)/231468.30]x100

5 0
3 years ago
Zander Inc. uses a job-order costing system in which any underapplied or overapplied overhead is closed to cost of goods sold at
Digiron [165]

Answer:

The answer is "$ 1,251,710".

Explanation:

Formula:\text{Overall cost for Job F21X completed during the month = } \\\text{Beginning balance + Direct materials + Direct labor + Manufacturing overhead applied }

= \$ 80,595 + \$ 937,290 +\$ 316,410 + \$ 543,270 \\\\= \$ 1,877,565

Complete unit in Job = 29,850 units

Per unit cost units

                      = \$ 62.9  per unit

Sold units=  19,900 units

Sold goods cost = 19,900 \times  \$ 62.9

                           = \$ 1,251,710

5 0
2 years ago
Other questions:
  • If f(x)=7-3x and g(x)=3x-7, what is the value of f(1) + g(1)
    7·1 answer
  • Current assets are economic resources that are expected to be converted to cash or used up by the business within one year or th
    14·1 answer
  • Elisa grew up speaking Spanish, but learned to speak English as an adult, and she now works as a translator for a U.S. company t
    14·1 answer
  • Your uncle repays a $450 loan from Tenth National Bank (TNB) by writing a $450 check from his TNB checking account. Assume these
    11·1 answer
  • The Occupational Safety and Health Act (OSHA) mandated that first-aid kits be available in business establishments employing mor
    15·1 answer
  • A local county is considering purchasing some dump trucks for the trash pickups. Each truck will cost $55,000 and have an operat
    13·1 answer
  • Mr. and Mrs. Jones sold their principal residence for $750,000. They had lived in their residence for 20 years, and it had an ad
    15·1 answer
  • Preparing a consolidated income statement - with noncontrolling interest, but AAP or intercompany profits
    13·1 answer
  • Suppose a senator introduces a bill to legislate a minimum hourly wage of $6. This type of price control is called a
    10·2 answers
  • Which of the following is an example of a consumer service?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!