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amm1812
3 years ago
15

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For​ example, if the ma

rginal cost of producing the fiftieth product is​ $6.30, then it cost​ $6.30 to increase production from 49 to 50 units of output. Suppose that the marginal cost C​ (in dollars) to produce x digital cameras is given by Upper C (x )equals 0.03 x squared minus 3 x plus 240C(x)=0.03x2−3x+240. How many digital cameras should be produced to minimize marginal​ cost? What is the minimum marginal​ cost?
Business
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

Check the explanation

Explanation:

C(x) = 0.06x^2 - 6x + 218

Its a quadratic function , minima would occur at vertex.

x is no. of digital cameras

x = -b/2a = -(-6/2*0.06) = 50 cameras

Minimum marginal cost : C(50) = 0.06(50)^2 - 6*50 + 218 = $ 68

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creates airbags. The deployment time of an airbag should be between 21 and 27 milliseconds and their current average is 22 milli
babymother [125]

Answer:

4

Explanation:

The computation of the process capability index is shown below:

Data provided in the question according to the question is as follows

USL = 27

LSL = 21

X = (21 +27) ÷ 2 = 24 (take the average)

Standard Deviation: 0.25

C_p_k = Min {(\frac{USL - \bar X}{3\sigma}) , {(\frac{\bar X - LSL}{3\sigma})

After placing the above values, the process capability index is 4

hence, the  process capability index, if they were to center the mean is 4

3 0
3 years ago
Consider a 11-period binomial model with r=1.02r=1.02, s_0 = 100s
FromTheMoon [43]

The  value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694

<h3>European call option</h3>

Given:

R=1.02

S0 = 100

u=1/d= 1.05

Strike(k) = 102

First step

Upside Price = u × S0

Upside Price = 1.05 × 100

Upside Price = 105

Downside Price = S0/u

Downside Price= 100×1/1.05

Downside Price= 95.238

Upside Payoff = upside price - strike rate

Upside Payoff =(105 - 102)

Upside Payoff = 3

Second step

Upside probability=(r - q) / u - d

Upside probability=1.02- (1/1.05)÷ 1.05- (1/1.05)

Upside probability=0.0676190/0.0976190

Upside probability=0.692


Probability of downside = 1 - p(upside)

Probability of downside = 1 - 0.692

Probability of downside = 0.30731722

Third step

European call option=[0.692×3+0.30731722×0]×1/100

European call option=2.03529

Let B represent the Dollar to invest

105D -1.05B=3

95.238D-1.02B=0

Solving for B

B=$28.694

Therefore the  value of a European call option on the stock with strike k=102k=102 is: 2.03529 and the amount of dollar to invest in the cash account is $28.694

Learn more about European call option here:brainly.com/question/16998902

#SPJ1

4 0
2 years ago
James Smith has worked for Perfect Transmission Installers for eight years. His annual base salary is $52,000. For overtime hour
lesya692 [45]

Answer:

=$5,533.33

Explanation:

James took four weeks of paid leave. It means earned his salary but missed out on overtime earnings.

His hourly pay is $25; overtime pay will be $50 per hour

Monthly qualifying income is similar to average monthly income. The term is used mostly in credit assessments.

regular monthly income for James equal to yearly pay divide by 12 months

=$52,000/12

=4,333.333

Overpay income

6 hours per week x 4 weeks per month x $50 per hour

=6 x 4 x $50

=24 x $50

=$1200

Monthly qualifying income = 4,333.33 + 1200.00

=$5,533.33

3 0
3 years ago
For each of the following independent events, identify the account that would be debited and the account that would be credited.
My name is Ann [436]

Answer:

A. Received cash by issuing common stock

Debit: Cash

Credit: common stock

B. Received cash for services to be performed in the future.

Debit: Cash

Credit: unearned revenue.

C. Paid salaries payable

Debit: salaries payable

Credit: cash

D. Provided services on account.

Debit: accounts receivable

Credit: service revenue

E. Paid cash for operating expenses

Debit: operating expenses

Credit: cash

Explanation:

A. Received cash by issuing common stock

Debit: Cash

Credit: common stock

B. Received cash for services to be performed in the future.

Debit: Cash

Credit: unearned revenue.

C. Paid salaries payable

Debit: salaries payable

Credit: cash

D. Provided services on account.

Debit: accounts receivable

Credit: service revenue

E. Paid cash for operating expenses

Debit: operating expenses

Credit: cash

6 0
3 years ago
How do you determine the acid-test ratio? The sum of cash and short-term investments divided by short-term debt. Current assets
Alex Ar [27]

Answer: The sum of cash, short-term investments and net receivables divided by current liabilities

Explanation: The acid test ratio, also known as the quick ratio, is a liquidity ratio that is used to determine the ability of a company to pay its current liabilities if it rises immediately. It is considered to be more stringent ratio than the current ratio.

It is concluded by dividing those current assets that can be converted into cash immediately with the current liabilities of the company.

Therefore, from the above we can conclude that the correct statement is D.

3 0
3 years ago
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