1. A _________________ _________ causes light rays from a distant source to converge to a _____________ ______________

2. Charging by induction, a charged rod is brought near a neutral conductor: the electrons in the conductor redistribute such that there is a net positive charge away from the rod (T/F)

3. Electrical resistivity doesn’t change when temperature changes (T/F)

4. With a magnetic core, the total magnetic field is increased by a factor of 10^3 to 10^4 relative to the field without a core. It is described by saying that the magnetic materials have a large _______________ _________________

The diameter of the discharge and suction pipe of a boiler feed pump is 4 inches and 6 inches, respectively. The water delivered is 250 GPM and the temperature is 60 F. The discharge pressure near the pump is 90 psig and the suction is 12 in.hg vacuum. Find the total dynamic head if the discharge gage is located 3 ft above pump centerline and the vacuum gage connection to the suction pipe is 2 feet below the center of the pump. Assume that the head necessary to overcome the frictional resistance through the pump is 2.20 feet.

A solenoid wound with 2020 turns/m is supplied with current that varies in time according to I = (4 A)sin(120πt), where t is in s. A small coaxial circular coil of 40 turns and radius r = 4.1 cm is located inside the solenoid near its center. (a) Derive an expression that describes the manner in which the emf in the small coil varies in time. (Use the following as necessary: t.) (b) At what average rate is energy transformed into internal energy in the small coil if the windings have a total resistance of 8.00 Ω?

IAS 7 - Consolidated Cash Flow Statement

The following are the consolidated financial statement from the records of MT Bhd (MTB) for 2011 incorporating its subsidiary JK Bhd (JKB).

Consolidated Statement of Comprehensive Income for the year ended 31 December 2011

Consolidated Statement of Financial Position as at 31 December 2011

Additional Information:

1).     MTB had acquired 80% interest in JKB on 1 January 2001. On that date the shareholders’ funds of JKB totaled RM800K. Before the purchase, an item of long term asset which was undervalued by RM50K was subsequently revalued. MTB had paid RM830K for JKB shares. The payment consisted of 200K shares (RM1 par) and RM230K cash. The market value of MTB shares on the acquisition date was RM3 per share.

2).     There is no impairment of goodwill for the current year.

3).     During the year 2011, MTB paid RM320K dividend. JKB earned net income of RM500K and paid RM150K dividend.

4)      During the year an additional piece of land was purchased for RM500K. The existing land was revalued to RM1,200K.

5)      During the last quarter, a piece of machinery which had originally cost RM180K and had been depreciated RM70K was sold by MTB for RM130K. Another machine was immediately purchased for RM270K paying by a promissory note of RM70K and the balance by cash.

You are required to prepare:

a).     The worksheet for the preparation of a consolidated cash flow statement.

b).     The consolidated statement of cash flows for the year ended 31 December 2011.

You are assessing the viability of operating an amusement park. The nominal revenues from ticket sales at the end of Year 1 will be $554176. They will increase by 4% per year in real terms. The only annual cost will be to lease the whole operation for $118845 per year. The leasing costs are nominal and will start at the end of Year 1. They will stay fixed in nominal terms.

Assume the inflation rate is 5% and the real discount rate is 10%. All cash flows occur at year-end. The company will not pay any taxes. The business will continue into perpetuity.

What is the NPV of the project?

Select one:

a. $6921840

b. $8029703

c. $9139137

d. $8940472

e. $8267772

Evans:

Evans Enterprises has bought a prime parcel of beachfront property and plans to build a luxury hotel. After meeting with the architectural team, the Evans family has drawn up some information to make preliminary plans for construction. Excluding the suites, which are not part of this decision, the hotel will have four kinds of rooms: beachfront non-smoking, beachfront smoking, lagoon view non-smoking, and lagoon view smoking. To decide how many of each of the four kinds of rooms to plan for, the Evans family will consider the following information.

After adjusting for expected occupancy, the average nightly revenue for a beachfront non-smoking room is $175. The average nightly revenue for a lagoon view non-smoking room is $130. Smokers will be charged an extra $15.

Construction costs vary. The cost estimate for a lagoon view room is $12,000 and for a beachfront room is $15,000. Air purifying systems and additional smoke detectors and sprinklers ad $3000 to the cost of any smoking room. Evans Enterprises has raised $6.3 million in construction guarantees for this portion of the building.

There will be at least 120 but no more than 180 beachfront rooms.

Design considerations require that the number of lagoon view rooms be at least 1.5 times the number of beachfront rooms, and no more than 2.5 times that number.

Industry trends recommend that the number of smoking rooms be no more than 50% of the number of non-smoking rooms.

There should be at least 45 rooms of each kind.

What is the optimal solution?

What is the optimal value of the objective function?

For what values of the objective coefficient will the above solution be valid? Include ranges for all decision variables.

If the budget increases to 7 million what is the change in the objective function? What is the shadow price for budget?