A profit-maximizing firm produces one output, y, and uses one input, x, to produce it. The price per unit of the factor is denoted by w and the price of the output is denoted by p. You observe the firm's behavior over three periods and find the following: Period y x w p
1 1 1 1 1
2 2.5 3 0.5 1
3 4 8 .25
a. Write an equation that gives the firm's profits, pi, as a function of the amount of input x it uses, the amount of output y it produces, the per-unit cost of the input w, and the price of output p.
b. With output on the vertical axis and input on the horizontal axis, draw an isoprofit line for each of the three periods. What are the equations for these lines?

2. high-glow currently produces 1,000 bicycles per month. the following per unit data apply for sales to regular customers: direct materials $50 direct manufacturing labor 5 variable manufacturing overhead 14 fixed manufacturing overhead 10 total manufacturing costs $79 the plant is experiencing demand shortage and is considering reducing production to 800 bicycles. what is the per unit cost of producing 800 bicycles? a) $79 per unit b) $81.50 per unit c) $74 per unit d) $69 per unit

You have just been hired as a financial analyst for barrington industries. unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by fire. so, your first job will be to recreate the firm's cash flow statement for the year just ended. the firm had $100,000 in the bank at the end of the prior year, and its working capital accounts except cash remained constant during the year. it earned $5 million in net income during the year but paid $800,000 in dividends to common shareholders. throughout the year, the firm purchased $5.5 million of machinery that was needed for a new project. you have just spoken to the firm's accountants and learned that annual depreciation expense for the year is $450,000; however, the purchase price for the machinery represents additions to property, plant, and equipment before depreciation. finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 6% interest rate. what was the firm's end- of-year cash balance? recreate the firm's cash flow statement to arrive at your answer

While cell phones with holographic keyboards are currently in the introduction stage of the industry life cycle, tablet computers are in the growth stage. in the context of this scenario, which of the following statements is true? a. the industry for cell phones with holographic keyboards will face greater competition than the tablet industry. b. while the industry for cell phones with holographic keyboards will focus more on product innovation, the tablet industry will focus more on process innovation. c. while the industry for cell phones with holographic keyboards can reap the benefits of economies of scale, the tablet industry will experience no such benefits. d. the industry for cell phones with holographic keyboards will face price competition, whereas, in the tablet industry, the mode of competition will be non-price.