Consider a duopoly where firms sell an homogeneous product and compete in price (Bertrand competition). The cost function of firm 1 is C1 = 20 + 5Q and the cost function of firm 2 is C2 = 8Q. The demand for the product is Q = 100 4P. Find the optimal prices and the profits of the firms.

Michigan mattress company is considering the purchase of land and the construction of a new plant. the land, which would be bought immediately (at t = 0), has a cost of $100,000 and the building, which would be erected at the end of the first year (t = 1), would cost $500,000. it is estimated that the firm's afterminustax cash flow will increase by $100,000 starting at the end of the second year, and that this incremental flow would increase at a 10 percent rate annually over the next 10 years. what is the approximate payback period?

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?

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