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A two-year-old child is eating peanuts one at a time from a large box. Even though the child doesn’t understand formal economic theory, he knows when to stop eating because he is full. Describe how this child has already mastered marginal analysis.




A speculator purchases a put option on British Pounds for 0.05$ per unit; the strike price is 1.50$.

A pound option represents 31.250 units

Assume that at the time of the purchase, the spot rate of the pound is 151$ and continually rises to 1.62$ by the expiration date.

1. Compute the highest net profit possible for the speculator based on the information above?

2. Compute the highest profit/loss for the seller of this put option?


The summit of Mount Everest is 8848.0 m above sea
 level, making it the highest summit on Earth. In 1953, Edmund Hillary was the first person to reach the summit. Suppose upon reaching there, Hillary slid a rock from rest with a 32.0 g mass down the side of the mountain. If the rock's speed was 24.0 m/s when it was 7690.0 m above sea level, how much work was done
on the rock by air resistance?







Determine the strain tensor of a long rod of length / hanging vertically from the celling in a gravitational field of strength g.

Determine the deformation of a spherical hollow sphere of inner and outer radius R₁ and R₂ respectively in its own gravitational field. The density of the material is p.

Find the strain tensor inside an infinite hollow cylinder of inner and outer radii R₁ and R₂ respectively and deformed by uniform pressure p1 inside and p2 outside.

A volume of 0.36 m3 of air initially at a temperature of 20oC and a 03 pressure of 4bar is compressed reversibly and isothermally to a final

volume of 0.06m3. Calculate the mass, the final pressure, work done and

heat transfer. The specific heat and gas constant can be taken as 1kJ/kgK

and 287 J/kg


Consider a cylindrical rod of length I placed vertically on table. A uniform force per unit area p is applied on the upper surface of the rod. Find the strain tensor inside the rod. Consider gravity is uniform through out the rod and the gravitational acceleration is g.

A senator wants to raise tax revenue and make work-



ers better off. A staff member proposes raising the



payroll tax paid by firms and using part of the extra



revenue to reduce the payroll tax paid by workers.



Would this accomplish the senator’s goal? Explain

Mr Raman likes to spend the quarantine time with some useful work. he plans to stitch the Mass. he purchases cloth of colour white x cm, cloth of colour black y cm. The white mask takes 12 cm for each mask and the black mask take 10 cm for each mask. How many masks did Mr. Raman stitched. Requirements 1. Capture the size of black cloth y and White cloth x cm. 2. Calculate the number of black mask that can be stitched of size 10 cm. 3. Calculate the number of white Marsh that can be stitched of size 12 CM. 4. Calculate the total masks stitched. 5. Display the total masks.

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