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ryzh [129]
3 years ago
10

A company is preparing a bid on a government contract for 30 units of a certain product. There is some learning curve effect tha

t can be observed. The operations manager estimates the assembly time required for the first two units to be 100 hours and 90 hours. What is average time per unit?
Business
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

Average time per unit is 59.6 hours

Explanation:

As we know as the work is done the learning of the labor force increases and they require less time to produce the next unit. An average time required to produce specific numbers of unit including cumulative effect of the learning curve.

As per given data

Number of units = 30 unit

Ratio of Time to produce second unit = 90 / 100 = 0.9

Accumulated Average time per unit Formula is

y = aX^b

Where

y = Average time per unit = ?

X = Cumulative Numbers of unit = 30

a = Time required to produce first unit = 100 hours

b = factor used to calculate cumulative average time = log (Learning Curve %/ log2) = Log (90/100) / Log2 = -0.152

Place value value in the formula

y = 100 x 30^ -0.152 = 59.6 hours

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Assume that GDP per capita for two countries is displayed in plot with a ratio scale on the y-axis and a linear time scale (in y
jenyasd209 [6]

Answer:

The correct answer that fills the gaps are: constant ; increasing.

Explanation:

GDP per capita, income per capita or income per capita is an economic indicator that measures the relationship between the level of income of a country and its population. For this, the Gross Domestic Product (GDP) of said territory is divided by the number of inhabitants.

The use of per capita income as an indicator of wealth or economic stability of a territory makes sense because through its calculation national income is interrelated (through GDP in a specific period) and the inhabitants of this place.

The objective of GDP per capita is to obtain data that somehow shows the level of wealth or well-being of that territory at a given time. It is often used as a measure of comparison between different countries, to show differences in economic conditions.

7 0
3 years ago
Adam borrows $4,500 at 12 percent annually compounded interest to be repaid in four equal annual installments. the actual end-of
Kazeer [188]
Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 4500
PMTthe actual end-of-year payment?
R interest rate 0.12
N 4 equal annual installments
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT=4,500÷((1−(1+0.12)^(−4))÷(0.12))
PMT=1,481.55
8 0
3 years ago
What is the relationship between a non-callable, option-free fixed rate bond's price and its yield?
Sophie [7]

Answer:

The relationship is that the price for these types of bonds is lower as the Yield is fixed and do not change over time.

The price of a Non-callable bond is cheaper than the price of the Callable bond as the Yield for a Non-callable bond is fixed. This suggest that the investor knows exactly what is the interest that is going to receive until the maturity of the bond.  

5 0
3 years ago
Suppose that labor is the only variable input to the production process. If the marginal cost of production is diminishing as mo
attashe74 [19]

Answer:

Marginal product will increase.

Explanation:

Since the labor is only variable input and the marginal cost of production is diminishing that means the cost of producing additional unit is lower. So marginal product of labor will be increasing.

Moreover, MC = w /MPL

Thus, diminishing marginal cost will exhibit increasing marginal product of labor.

8 0
2 years ago
. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processe
prohojiy [21]

Answer:

(a) Linear model

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

(b) Standard form:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

Explanation:

Given

\begin{array}{ccc}{} & {Hours/} & {Unit} & {Product} & {Line\ 1} & {Line\ 2} & {A} & {12} & {4} & {B} & {4} & {8} & {Total\ Hours} & {60} &{40}\ \end{array}

Solving (a): Formulate a linear programming model

From the question, we understand that:

A has a profit of $9 while B has $7

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

Where:

x \to line\ 1

y \to line\ 2

Solving (b): The model in standard form:

To do this, we introduce surplus and slack variable "s"

For \le inequalities, we add surplus (add s)

Otherwise, we remove slack (minus s)

So, the standard form is:

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

4 0
2 years ago
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