You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by q = 36 – 4p and c(q) = 4 + 4q + q2.

(a) find the inverse demand function for your firm’s product. p = - q
(b) determine the profit-maximizing price and level of production.

Miller mfg. is analyzing a proposed project. the company expects to sell 8,000 units, plus or minus 2 percent. the expected variable cost per unit is $11 and the expected fixed costs are $287,000. the fixed and variable cost estimates are considered accurate within a plus or minus 5 percent range. the depreciation expense is $68,000. the tax rate is 32 percent. the sales price is estimated at $64 a unit, plus or minus 3 percent. what is the earnings before interest and taxes under the base case scenario?

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)? $

Melissa is a very generous single woman. before this year, she had given over $11,400,000 in taxable gifts over the years and has completely exhausted her applicable credit amount. in the current year, melissa gave her daughter riley $100,000 and promptly filed her gift tax return. melissa did not make any other gifts this year. how much gift tax must riley pay the irs because of this transaction?