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10 months ago

the process of might be used to determine the value of the smoothing constant that minimizes the mean squared error.

1 answer:

3 0

The mean squared error minimization smoothing constant's value can be found using a nonlinear optimization process.

Although the linear programming model is effective in many nonlinear optimization circumstances, it is insufficient to accurately model some issues. An illustration would be the isoperimetric problem, which asks you to identify the closed plane curve with the maximum area and a minimization given length. Pappus of Alexandria had access to the solution but not the proof. 340 CE.

The Swiss mathematician Johann Bernoulli challenged himself in 1696 to find the curve that minimizes the time it takes an object to slide, using minimization only the force of gravity, between two nonvertical points. This challenge marked the beginning of the branch of mathematics known as the nonlinear optimization calculus of variations. Along with Johann Bernoulli, the correct answers were also provided by his brother Jakob Bernoulli, the German Gottfried Wilhelm Leibniz, and the Englishman Isaac Newton. (The solution is the brachistochrone.) Many nonlinear algorithms, in particular, heavily rely on Newton's method of solving the problem.

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A copy machine acquired with a cost of $1,410 has an estimated useful life of 4 years. It is also expected to have a useful oper

mafiozo [28]

Answer:

a. Straight-line method

Depreciation Expense for the first year: $333.75

b. Double-declining-balance method

Depreciation Expense for the first year: $667.5

c. Units-of-output method

Depreciation Expense for the first year: $450

Explanation:

a. Straight-line method

Depreciation Expense each year is calculated by following formula

Annual Depreciation Expense = (Cost of machine − Residual Value)/Useful Life = ($1,410 - $75)/4 = $333.75

Depreciation Expense for the first year: $333.75

b. Double-declining-balance method

Under the straight-line method, useful life is 4 years, so the asset's annual depreciation will be 25% of the Depreciable cost.

Depreciable cost = Total cost of machine - Residual value = $1,410-$75 = $1.335

Under the double-declining-balance method the 25% straight line rate is doubled to 50% - multiplied times

Depreciation Expense for the first year = $1.335 x 50% = $667.5

c. Units-of-output method

Depreciation Expense per copy = (Cost of machine − Residual Value)/Life in Number of Units = ($1,410 - $75)/13,350 = $0.1

Depreciation Expense for the first year = Depreciation Expense per copy x number of copies were made the first year = $0.1 x 4,500 = $450

3 0

3 years ago

Categories of manufacturing costs include ______. Multiple select question. direct labor manufacturing overhead direct materials

Luda [366]

Firms do create goods. Categories of manufacturing costs include direct labor, direct materials and manufacturing overhead.

<h3>What are manufacturing costs?</h3>

Manufacturing costs is grouped into materials, labor, and overhead. They are kinds of direct costs.

Manufacturing cost is known to be the amount of costs of all resources taken into the process of creating a product. The manufacturing cost is grouped into three categories called: direct materials cost, direct labor cost and manufacturing overhead.

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4 0

2 years ago

Tom O'Brien has a 2-stock portfolio with a total value of $100,000. $47,500 is invested in Stock A with a beta of 0.75 and the r

Degger [83]

Answer:

1.10

Explanation:

The computation of portfolio's beta is shown below:-

= Stock A Beta × Invested in Stock A ÷ Total value + Stock B Beta × (Total value - Invested in Stock A) ÷ Invested in Stock A

= 0.75 × $47,500 ÷ $100,000 + 1.42 × ($100,000 - $47,500) ÷ $100,000

= 0.75 × $47,500 ÷ $100,000 + 1.42 × $52,500 ÷ $100,000

= 0.75 × 0.475 + 1.42 × 0.525

= 0.35625 + 0.7455

= 1.10175

= 1.10

Therefore for computing the portfolio beta we simply applied the above formula.

4 0

3 years ago

Identify a cost driver that may be used to assign each cost pool to each line of snowmobiles. Budgeted Costs Cost Driver Machine

Norma-Jean [14]

Explanation:

The identification of the cost driver is presented below:

This identification is required so that the indirect cost can be allocated according to the each cost pool

Machine setup, indirect materials = Number of setups

Inspections = Number of inspections

Test = Number of test

Insurance, plant = Machine hours or square feet

Engineering design = Engineering Hours

Depreciation, machinery = Machine hours

Machine setup, indirect labor = Number of setups

Property taxes = Machine hours or square feet

Oil, heating = Machine hours or square feet

Electricity, plant lighting = Machine hours or square feet

Engineering prototypes = Engineering Hours

Depreciation, plant = Machine hours or square feet

Electricity, machinery = Machine hours

Machine maintenance wages = Number of machines or machine hours

7 0

3 years ago

Earnings per share: Select one: a. Will always be lower than the dividend paid per share b. Will always be higher than the divid

Svetlanka [38]

Answer:

b. Will always be higher than the dividend paid per share

Explanation:

A firm pays dividend to it's stockholders based upon it's earnings.

Earnings per share (EPS) is expressed as:

= $\frac{Earnings\ available\ to\ stockholders}{No.\ of\ stocks\ outstanding}$

Dividend payout ratio on the other hand is expressed as:

= EPS (1 - b)

wherein, b = retention ratio which denotes the percentage of earnings retained by a firm i.e not distributed as dividends.

Thus, a firm's earnings per share would always be higher than the dividend paid by it per share.

7 0

2 years ago