ABC Computer Company has a $20,000,000 factory in Silicon Valley. During the current year ABC builds $2,000,000 worth of computer components. ABC's costs are labor, $1,000,000; interest on debt, $100,000; and taxes, $200,000. ABC sells all its output to XYZ Supercomputer. Using ABCs components, XYZ builds 4 super computers at a cost of $800,000 each ($500,000 worth of components, $200,000 in labor costs, and $100,000 in taxes per computer.) XYZ has a $30,000,000 factory. XYZ sells three of the supercomputers for $1,000,000 each. At year's end, it had not sold the fourth. The unsold computer is carried on XYZ's books as an $800,000 increase in inventory. Calculate GDP using the expenditure method, the product method and the income method, showing that all three approaches give the same answer.

In the island nation of Autarka, cardboard boxes are manufactured by four rms: Andrew'sIndustries, Brett's Boxes, Carla's Cardboard, and Delia's Durables. In Autarka, cardboard boxes are sold in bundles of 100. At present, the market price for a bundle of boxes is $30. The technology for manufacturing cardboard boxes is readily available and common to all manufacturers. The cost of plant and machinery for a rm in the box manufacturing business is $7,000,000 per year. The labour, material, and energy cost of producing abundle of 100 boxes is $20. A market study indicates that demand for cardboard boxes is given by the function,P= 40 - Q/500,000 ;where P represents the price of a bundle of 100 boxes, and Qis the total number of bundles of boxes sold each year. Using the information provided in the scenario, derive a total cost function fora typical cardboard box manufacturer. Use QA to denote the quantity produced by thetypical firm.

2. Compute Ay = f(x + dx) – f(x) and the differential dy = f'(x)dx for the following: %3D (a) f(x) = when x= 3, dx =-D (b) ƒ(x)= ln x when x= 1, dæ =

An individual leaves a college faculty, where she was earning $70,000 a year, to begin a new venture. She invests her savings of $42,000, which were earning 7 percent annually. She then spends $25,000 renting office equipment, hires two students at $18,000 a year each, rents office space for $14,000, and has other variable expenses of $35,000. At the end of the year, her revenues are $250,000. Her accounting profit is $