A monopolist's demand function is P = 1624 - 4Q, and its total cost function is TC = 22,000 + 24Q -4Q2 + 1/3 Q3, where Q is output produced and sold. 1. At what level of output and sales (Q) and price (P) will total profits be maximized?

2. At what level of output and sales (Q) and price (P) will total revenue be

maximized?

3.At what price (P) should the monopolist shut down?

An important application of regression analysis in accounting is in the estimation of cost. by collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. consider the following sample of production volumes and total cost data for a manufacturing operation. production volume (units) total cost ($) 400 4000 450 5000 550 5400 600 5900 700 6400 750 7000 compute b 1 and b 0 (to 2 decimals if necessary). b 1 b 0 complete the estimated regression equation (to 2 decimals if necessary). = + x what is the variable cost per unit produced (to 1 decimal)? $ compute the coefficient of determination (to 4 decimals). note: report r 2 between 0 and 1. r 2 = what percentage of the variation in total cost can be explained by the production volume (to 2 decimals)? % the company's production schedule shows 500 units must be produced next month. what is the estimated total cost for this operation (to 2 decimals)? $

The following pertains to smoke, inc.’s investment in debt securities: on december 31, year 3, smoke reclassified a security acquired during the year for $70,000. it had a $50,000 fair value when it was reclassified from trading to available-for-sale. an available-for-sale security costing $75,000, written down to $30,000 in year 2 because of an other-than-temporary impairment of fair value, had a $60,000 fair value on december 31, year 3. what is the net effect of the above items on smoke’s net income for the year ended december 31, year 3?

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.