The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profits.

On january 1, vermont corporation had 40,000 shares of $10 par value common stock issued and outstanding. all 40,000 shares has been issued in a prior period at $20.00 per share. on february 1, vermont purchased 3,750 shares of treasury stock for $24 per share and later sold the treasury shares for $21 per share on march 1. the journal entry to record the purchase of the treasury shares on february 1 would include a credit to treasury stock for $90,000 debit to treasury stock for $90,000 credit to a gain account for $112,500 debit to a loss account for $112,500

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.

Blue spruce corp. has the following transactions during august of the current year. aug. 1 issues shares of common stock to investors in exchange for $10,170. 4 pays insurance in advance for 3 months, $1,720. 16 receives $710 from clients for services rendered. 27 pays the secretary $740 salary. indicate the basic analysis and the debit-credit analysis.