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
allsm [11]
3 years ago
11

A company produces two products, A and B. The sales volume for A is at least 80% of the total salces for both A and B. However,

the company cannot sell more than 100 units of A per day. Both products use one raw material, of which the maximum daily availability is 240 lb. The usage rater of the raw material are 2lb per unit of A and 4 lb per unit of B. The profit units for A and B are $20 and $50, repectively. Set this problem up as a linear program to determine the optimal product mix for the company. Then solve using excel. Next, answer the following questions: 1. How much should the company be willing to pay to increase the number of units of A that it can sell
Business
1 answer:
liberstina [14]3 years ago
3 0

Answer:

i) Z = 20( 80 ) + 50(20 ) =  $2600

ii) $3000

Explanation:

representing products  A and B as x₁ and x₂

using the given data

Max ( z ) = 20x₁ + 50x₂  ( optimal product mix for optimal profit )  ---- ( 1 )

0.8 ( x₁ + x₂ )  ≥ 0

0.8x₁  + 0.8x₂ ≥ 0 ------------ ( 2 )

also  x₁ ≤ 100 --- ( 3 )    considering the amount to be sold ( sales volume )

based on the availability of raw material

2x₁ + 4x₂ ≤ 240 ----- ( 4 )

resolve equations 2, 3, and 4 graphically

x₁ = 80 units , x₂ = 20 units

back to equation 1

Z = 20( 80 ) + 50(20 )

   = 1600 + 1000  = $2600

ii) To increase the number of units of A produced

given that x₁ ≤ 100   and the actual optimal units produced = 80 units

2600 + 20(100-80)

= 2600 + 20(20)  = 2600 + 400 = $3000

You might be interested in
1. What are the advantages of learning in a group​
larisa86 [58]

Peer learning

In group work, students will learn from their fellow students. Sometimes peers will be able to explain concepts or ideas to their fellow students better than a lecturer or teacher.

Improves critical thinking

During the group work process students will be expressing their opinions or ideas with the other students in the group providing feedback. This feedback to each student will include critique as well as the interpretation of the opinions or ideas expressed. The final piece of group work will be based on the total opinions and ideas discussed.

Enhances problem solving  

Each piece of group work provided for collaborative learning will require some problem solving. Every member in the group will need to help solve the problem in order to complete the task.

Improves communication skills  

Working in groups to learn will encourage people to improve their communication skills. They will need to learn how to communicate their opinions or ideas, how to listen to other people’s opinions or ideas and provide feedback.

Improves cultural awareness  

People from different backgrounds and cultures may have different ways to learn as well as different opinions or ideas than other people in the group. By working in groups, these differences will be highlighted and will improve people’s awareness.

6 0
3 years ago
When the force on an object increases, so does its __________.
prisoha [69]
A.

when the force of an object increases, so does its acceleration.
4 0
3 years ago
Read 2 more answers
Standard rate per direct labor-hour $ 2 Standard direct labor-hours for each unit produced 3 Units manufactured 1,000 Actual dir
Nastasia [14]

Answer:

Variable overhead efficiency variance= $600 unfavorable

Explanation:

Giving the following information:

Standard rate per direct labor-hour $2

Standard direct labor-hours for each unit produced 3

Units manufactured 1,000

Actual direct labor-hours worked during the month 3,300

<u>To calculate the variable overhead efficiency variance, we need to use the following formula:</u>

<u></u>

Variable overhead efficiency variance= (Standard Quantity - Actual Quantity)*Standard rate

Variable overhead efficiency variance= (1,000*3 - 3,300)*2

Variable overhead efficiency variance= $600 unfavorable

5 0
3 years ago
Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand
defon

Answer:

Explanation:

Fixed costs - will remain similar no matter of output amount

Variable costs - vary with the change in output

Average cost=(Fixed cost(FC) + Variable cost(VC))/number of units produced

VC = VC per cup of coffee served *cup of coffee served in a week

Total Cost(TC)= FC+VC

Average cost=TC/Cup of coffee served in a week

1. Let's calculate for 2000 cups of coffee:

FC remain the same! = $1200

VC=0.22*2000= $440

TC=FC+VC= 1200+440= $1640

Average cost of 1 cup of coffee= TC/#of cups=1640/2000=$0.82

2. Calculation for 2100 cups:

FC=1200

VC=0.22*2100=462

TC=1200+462=1662

Av cost=1662/2100=0.79

3. Calculation for 2200 cups:

FC=1200

VC=0.22*2200=484

TC=1200+484=1684

Av cost=1684/2200=0.77

As the number of cups increased from 2000 to 2100, the average cost per cup devreased 0.82 to 0.79. Then when number of cups increased to 2200, average cost decreased to 0.77. The reduction is due to the variable cost

4 0
3 years ago
unlimited liability and separate taxation of the business are advantages of a sole proprietorship.true false
statuscvo [17]

Unlimited liability and separate taxation of the business are advantages of a sole proprietorship.

The statement is False.

<h3>What is taxation ?</h3>

In practically every nation on the planet, governments impose taxes as mandatory levies on people or organizations. Although it can be used for other things as well, taxes are typically utilized to finance government spending.

Taxes are imposed on tangible property, including real estate and business dealings like stock sales or home purchases. Taxes exist in a variety of forms, including income, corporation, capital gains, property, inheritance, and sales taxes.

A fundamental method for nations to produce public revenues that enable them to support investments in human capital, infrastructure, and the provision of services for residents and enterprises is through the collection of taxes and levies.

To learn more about taxation from the given link:

brainly.com/question/1980107

#SPJ4

4 0
1 year ago
Other questions:
  • Is the institution through which the state maintains social order, provides public services, and enforces decisions that are bin
    14·1 answer
  • You have 16 posters.
    12·1 answer
  • Requirement 1. Calculate direct materials​ inventory, total​ cost, December​ 31, 2014. Determine the​ formula, then calculate en
    10·1 answer
  • Here is financial information for Shamrock, Inc.
    8·1 answer
  • Sedita Inc. is working on its cash budget for July. The budgeted beginning cash balance is $13,000. Budgeted cash receipts total
    13·1 answer
  • Tesla, founded in 2003, is a company that specializes in electric power technology. The firm sells its powertrain components to
    14·1 answer
  • Zisk Co. purchases raw materials on account. Budgeted purchase amounts are April, $80,000; May, $110,000; and June, $120,000. Pa
    9·1 answer
  • Give like the LATEST NEW PLAYLIST "Sad Boy Intro" if you want to heard (Unrelease) playlist and listen to "A love Letter Heart B
    8·2 answers
  • g When choosing a forecasting technique, a critical trade-off that must be considered is that between: time series and associati
    15·1 answer
  • Average and poor business writers are more likely than excellent writers to focus on the?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!