1. (‘JJ) uses a certain machine to produce carjacks. The machine cost the company $90,000 three years ago. The reduced
s ago. The reduced book value now stands at $60,000. A new model of the machine is currently available for $139,350. The new machine has a useful life of five years, at which time it will be sold for $20,000. Using the new machine, the expected unit sales of the car jacks would be 6,000 car jacks per annum. The estimated unit selling price is $35 for the first year. As a result of the COVID-19 pandemic in Singapore, JJ is experiencing labour shortage. JJ will have to transfer workers from another department to the new project. These workers earn a contribution of $2 per direct labour hour in their original department. The fixed overhead cost would be $2.20 per hour and this is expected to remain unchanged. JJ’s products are being sold to a distributor. The sales agreement allows the selling price to rise at the rate of 10 percent per year after the first year. The unit cost price, except for fixed costs, is expected to increase at the same rate as the selling price. Working capital requirements are expected to be $15,000 in the first and second years, increasing to $18,000 in the third year and is expected to remain at this level till the end of the project. All the amounts of working capital will be recovered at the time of project termination. The new project uses cutting-edge technology and so enjoys a tax holiday from the authorities. The drawback of using this high-risk approach is that the new project requires a minimum return of 27 percent per annum. Required: Identify the relevant cash flows for the decision as to whether JJ should proceed to purchase the new machine. Note: To show all workings with accompanying explanations. Word count requirement: 800
2.The unit price of market goods is $1. Each person has 8 hours to work each day.
Another couple, Sylvan and
van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex
and Esther are identical.
Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the
a) Given this information, which couple has the higher opportunity cost of home produced goods?
Explain how you determined this. You can add a diagram if that helps, but you are not required
to include one.
b) Can you determine which couple has the higher utility? Explain why or why not.
Suppose now that value of market production for both Alex and Esther increased to $12/per hour.
c) Explain the change in the household joint production possibility frontier generated by this
d) Explain what would happen to each couple’s choice of both household and market produced
goods, using an analysis by means of income and substitution effects.
e) What changes in time allocation for each couple that would be necessary to produce and
consume this new bundle? Briefly explain your reasoning.
4.The supply for a particular item is given by the function
. Find the producer's surplus if the equilibrium
producer's surplus if the equilibrium price of a unit
.A retailer anticipates selling
units of its product at a uniform rate over the next year. Each time the retailer places an order for
units, it is charged a flat fee of
. Carrying costs are
per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost?
For a particular commodity, the demand function is
.A hotel rents
rooms at a rate of
per day. For each
increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.