Answer:
a. radius = 0.0006m = 0.6mm and length =0.393m = 393mm
b. frequency =377.86Hz
Explanation:
Given:
mass of steel= 4g = 0.004kg
density of steel = 7890kg/m3
tensile stress of steel 7.0x10⁸
tension load =900N
from the density, we will calculate for the Volume of the steel string
density = mass/volume
volume = mass/density = 0.004/7890 = 5.07 x 10⁻⁷ m³
from the tensile stress will can get the maximum base Area of the string ,
tensile stress = load/area =
7x10⁸ = 900/A
A = 900/7x10⁸ = 1.29x10⁻⁶ m²
Area = πr²
area/pi = 4.105x10-7
radius = 0.0006m = 0.6mm
volume = Area x length
length = vol/area =(5.07 x 10⁻⁷ m³)/1.29x10⁻⁶ m² = 0.393m
b. the highest possible frequency is given by:
F = 
where T= tension, m=mass, L=length
F = 
= 297.04/0.786
frequency =377.86Hz
Answer:
d. This cannot be determined from the given information
Explanation:
To find the average revenue of 200 units it is necessary to know the total units. However, the function of the marginal revenue is not given. It is impossible to infer the marginal revenue (price) of other units (of output) only from knowing the marginal revenue of the 100th unit.
Answer:
See below
Explanation:
Computation of free cash flow for Monach textiles, 2017
EBIT = EBT + Interest expense EBIT
EBIT = $408 + $50
EBIT = $458
Tax rate = Tax / EBT
Tax rate = $163.20 / $408
Tax rate = 0.4 = 40%
Operating cash flow = EBIT × (1 - Tax rate) + Depreciation - Change in net working capital - Capital expenditure
= $458 × (1 - 0.4) + $82 - ($640 - $360) - ($460 - $280)
= $274.8 + $82 - $280 - $180
= $274.8 + $92 - $100
= $256.8
Answer:
A
Explanation:
Optimization using total value calculates the total value of each feasible option and then picks the option with the highest total value.
Optimization using marginal analysis calculates the change in total value when a person switches from one feasible option to another, and the uses these marginal comparisons to choose the option with the highest total value.
Both gives identical answers.
Optimization can be implemented using many different techniques.
One of it, is Total value total benefit - total cost (net benefit).
It translate all cost and benefits into common units, like dollar per month.
Calculate the total net benefit of each alternative.
Pick the alternative with the highest net benefit.
