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Lunna [17]
1 year ago
10

a manufacturer makes two types of rubber, butadiene and polyisoprene. the plant has two machines, machine-1 and machine-2, which

are used to make the rubber strips. manufacturing one strip of butadiene requires 2.75 hours on machine-1 and 3 hours on machine-2. processing one strip of polyisoprene takes 3.5 hours on machine-1 and 4 hours on machine-2. machine-1 is available 180 hours per month, and machine-2 is available 200 hours per month. formulate an all-integer mathematical model that will determine how many units of each type of rubber should be produced to maximize profits if the profit contributions of butadiene and polyisoprene are $20 and $26, respectively.
Business
1 answer:
nignag [31]1 year ago
4 0

The all-integer model that determines how many units of each type of rubber should be produced to maximize profits is given by:

  • Maximize: P(x,y) = 20x + 26y.
  • Constraint 1: 2.75x + 3.5y ≤ 180.
  • Constraint 2: 3x + 4y ≤ 200.
  • Constraint 3: x ≥ 0, y ≥ 0.

<h3>How to maximize profit?</h3>

The profit is maximized using linear programming, for a system of equalities/inequalities, in which the variables are given as follows:

  • Variable x: number of units of butadiene produced.
  • Variable y: number of units of polyisoprene produced.

The profit contributions of butadiene and polyisoprene are $20 and $26, hence the profit function is defined as follows:

P(x,y) = 20x + 26y.

The number of units is a countable amount, hence the values of x and y should be positive, and the constraint is of:

x ≥ 0, y ≥ 0.

Machine-1 is available 180 hours per month, hence the constraint relative to machine-1, considering the time needed for each unit, is of:

2.75x + 3.5y ≤ 180.

Machine-2 is available 200 hours per month, hence the constraint relative to machine-2, considering the time needed for each unit, is of:

3x + 4y ≤ 200.

More can be learned about linear programming at brainly.com/question/14309521

#SPJ1

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Ana Carillo and Associates is a medium-sized company located near a large metropolitan area in the Midwest. The company manufact
adoni [48]

Answer:

a. $29.23

b. $146,150

Explanation:

a. The computation of overhead application rate is shown below:-

Overhead application rate = Total standard overhead ÷ Total standard hours

= $163,710 ÷ (1,120 × 5)

= $163,710 ÷ 5,600

= $29.23

So, for determining the overhead application rate we simply divide the total standard overhead by total standard hours.

b. The computation of overhead was applied to production is shown below:-

Applied overhead = Standard hours for actual production × Overhead application rate

= 5,000 × $29.23

= $146,150

So, for determining the applied overhead we simply divide the standard hours for actual production by overhead application rate

8 0
3 years ago
Jill has recently begun working at a local florist. In addition to creating floral arrangements, Jill spends a good deal of her
Salsk061 [2.6K]

Answer: See explanation

Explanation:

1. What type of fraud is Jill committing?

The fraud that Jill is committing is known as theft of cash through fraudulent disbursements. In this case, Jill is using a register disbursement scheme which involves false voids of customer sales. During the time of sale, a record is made and another record is then created again which is used for the false void.

2. What could the florist do to prevent this type of fraud from occurring?

To prevent this fraud, a receipt should be attached and the florist should make sure that every vital information about all sales are collected such as customers name, time, amount of goods bought, signature and f customers etc

8 0
3 years ago
Lou Agent with Top Notch Realty had listed a 100 unit apartment complex for sale. Sam Agent also with Top Notch Realty had a buy
dybincka [34]

Answer:

2. Have both the buyer and seller sign required disclosures describing the designated sales agency relationship and stating that each the buyer and seller have assets of $1 million or more.

3 0
3 years ago
Which of the following statements about income taxes is not correct?
Anastaziya [24]

The correct statement regarding the income tax is Deductible temporary differences give rise to deferred tax liabilities, meaning that more tax is payable in the future. hence option C is correct

<h3>What is income tax?</h3>

A tax placed on people or organizations in relation to their income or profits is known as an income tax. Tax rates multiplied by taxable income are typically used to calculate income taxes. Tax rates might change depending on the taxpayer's attributes and source of income.

The complete part of the question is below:

A) Review Later Income tax expense includes both the amount of tax payable in the current period and the amount of tax due in future periods.

B)Income taxes are based on taxable income and not accounting income.

C)Deductible temporary differences give rise to deferred tax liabilities, meaning that more tax is payable in the future.

D)Deferred taxes arise because of temporary differences between the tax base and the carrying amount of assets and liabilities on the balance sheet.

Hence option C is correct.

Learn more about income tax:

brainly.com/question/17075354

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7 0
2 years ago
Ireland Corporation obtained a $40,000 note receivable from a customer on June 30, 2011. The note, along with interest at 6%, is
Paul [167]

Answer:

$39,220

Explanation:

The maturity value of the note receivable on June 30, 2012

= Principal + Interest

= $40,000 + $40,000 x 6%

= $40,000 + $2,400

= $ 42,400

The note is discounted on September 30, 2011. Time period remaining to go till maturity as on September 30, 2011

= 12 - 3 months ( July, Aug and Sep)

= 9 months.

Amount of deduction  

= $ 42,400 x 10% x 9/12

= $ 3,180

Finally, the Cash received by Ireland will be

= Maturity value - Discount

= $42,400 - $ 3,180

= $39,220

5 0
3 years ago
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