Two firms are located adjacent to one another and each imposes an ex- ternal cost on the other: the detergent that firm 1 uses in it’s laundry business makes the fish that firm 2 catches in the lake taste funny, and the smoke that firm 2 uses to smoke its caught fish makes the clothes that firm 1 hands out to dry smell funny. as a consequence, each firms profits are increasing it its own production and decreasing in the production of its neighboring firm. in particular, if q1 and q2 are the firms’ production levels then their per-period (stage game) profits are given by
vi(qi, qj)=(30−qj)qi −qi2
(a) draw the firms’ best response functions and find the nash equilibrium of the stage
for i ∈ {1, 2}.
game. how does this compare to the pareto optimal stage-game profit levels?
(b) for which levels of discount factors can the firms support the pareto optimal level of quantities in an infinitely repeated game?

Problem 2-18 job-order costing for a service company [lo2-1, lo2-2, lo2-3]speedy auto repairs uses a job-order costing system. the company's direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics' hourly wages. speedy's overhead costs include various items, such as the shop manager's salary, depreciation of equipment, utilities, insurance, and magazine subscriptions and refreshments for the waiting room. the company applies all of its overhead costs to jobs based on direct labor-hours. at the beginning of the year, it made the following estimates: direct labor-hours required to support estimated output 10,000fixed overhead cost $ 90,000variable overhead cost per direct labor-hour $ 1.00 required: 1. compute the predetermined overhead rate.2. during the year, mr. wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. the following information was available with respect to his job: direct materials $ 600direct labor cost $ 180direct labor-hours used 2 compute mr. wilkes' total job cost. 3. if speedy establishes its selling prices using a markup percentage of 30% of its total job cost, then how much would it have charged mr. wilkes?

Assume today is december 31, 2013. barrington industries expects that its 2014 after-tax operating income [ebit(1 – t)] will be $400 million and its 2014 depreciation expense will be $70 million. barrington's 2014 gross capital expenditures are expected to be $120 million and the change in its net operating working capital for 2014 will be $25 million. the firm's free cash flow is expected to grow at a constant rate of 4.5% annually. assume that its free cash flow occurs at the end of each year. the firm's weighted average cost of capital is 8.6%; the market value of the company's debt is $2.15 billion; and the company has 180 million shares of common stock outstanding. the firm has no preferred stock on its balance sheet and has no plans to use it for future capital budgeting projects. using the corporate valuation model, what should be the company's stock price today (december 31, 2013)? round your answer to the nearest cent. do not round intermediate calculations.

At the end of year 2, retained earnings for the baker company was $3,550. revenue earned by the company in year 2 was $3,800, expenses paid during the period were $2,000, and dividends paid during the period were $1,400. based on this information alone, retained earnings at the beginning of year 2 was: