You have become the owner-manager of a small local bubble tea seller that has outlets in 10 prime shopping-center locations across Singapore. Given the structure of this market is monopolistic competition, you are considering vertical and horizontal integration. Using the theory of the optimal boundary of the firm, discuss the make-or-buy decision as well as the scope for horizontal integration and diversification of your firm. What stages of the vertical chain should you consider conducting inhouse? What other horizontal markets may you integrate into?

You have become the owner-manager of a small local bubble tea seller that has outlets in 10 prime shopping-center locations across Singapore. Given the structure of this market discussed in question 3, you are considering vertical and horizontal integration. Using the theory of the optimal boundary of the firm, discuss the make-or-buy decision as well as the scope for horizontal integration and diversification of your firm. What stages of the vertical chain should you consider conducting inhouse? What other horizontal markets may you integrate into?

1.a Show that you understand what element distortion is by explaining the general problem caused by too distorted elements and drawing ideally and distorted elements of the following types: a) Solid tetrahedron b) Solid hexahedron c) Triangular 2D-element d) Quadrilateral 2D-element

1.b What are the thermal analysis equivalent parameters, and their corresponding units, of the following structural parameters ?

a) D isplacement

b) Strain

c) Stress

d) Load

e) Essential boundary conditions

f) Elastic supports   

An incompressible, Newtonian fluid is flowing through a vertical circular conduit (a pipe). The flow is laminar.

What is the velocity at the inner wall of the pipe? How do you know?

The pipe has diameter a. The velocity profile in the pipe is v_z = b ­– c r². Please express c in terms of a and b. (You are applying a boundary condition to solve this problem.)

Where in the pipe is the velocity a maximum?

Please express the maximum velocity in terms of a and b.

What is the average velocity in the pipe in terms of a and b?

Express the volumetric flow rate in terms of a and b.

Consider a spherical vessel filled with a substance which is generating heat at a uniform rate of 10^5 W/m^3. The substance has a thermal conductivity of 20 W/mK, and the vessel has a thermal conductivity of 15 W/mK.

The inner radius of the container is 0.5m and the outer radius is 0.6 m.

The container is surrounded by a fluid with convection coefficient of 1000 W/m^2K and T_inf = 25 Celsius.

Determine the temperature distribution T(r) by solving the differential equation, and evaluating the given boundary conditions

The one difficulty I see with LQG is that it requires an enormous number of degrees of freedom, e.g. these spin variables in the net. This is in contrast to stringy holographic theory where the fields in a space are equivalent to fields on a boundary or a horizon of one dimension lower. In this setting entropy of a black hole is the entanglement entropy of states interior and exterior to the black hole. This reduces the amount of data, and thus entropy, required.

Are there suggestions, conjectures or maybe serious theory which attempts to describe the spin variables of LQG according to such entanglements in string-brane theory?

A spring-loaded piston-cylinder device contains 0.5 kg of water initially at 90℃ and with an initial quality of 20.9%. At its initial state, the spring is relaxed and does not exert any force on the piston. The device is now heated until the pressure is 400 kPa and the new temperature is 250℃.

What is the boundary work done by the water during this process?

kJ

What is the total amount of heat transfer into the system?

kJ

BONUS: If the device has a cross-sectional area of 0.14 m2, what is the spring constant of the spring in this device?

kNm

1)Please provide detail explanation.

i. When valuing European Vanilla Options in the Black-Scholes-Merton Model, there is one source of uncertainty. What is this uncertainty?

ii. Why does a short call position in a European vanilla option have negative delta (?)?

2. The current price of a non-dividend paying asset is $65, the riskless interest rate is 5% p.a. continuously compounded, and the option maturity is five years. What is the lower boundary for the value of a European vanilla put option with strike price of $80?

The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 2. Find the boundary of the critical region for the Type I error probability and sample size provided. Round your answers to two decimal places (e.g. 98.76). (a) a(alpha)=.01 and n=2 ≤ x̄≤ (b)= a=.05 and n=2 ≤ x̄≤ (c)= a=.01 and n=7 ≤ x̄≤ (d)= a=.05 and n=7 ≤ x̄≤ Please show the exact steps on how to solve this.