Answer the question on the basis of the following marginal utility data for products X and Y. Assume that the prices of X and Y are $4 and $2, respectively, and that the consumer's income is $18.
Marginal
Marginal
Units of X Utility, X Units of Y Utility, Y
1
20
1
16
2
16
2
14
3
12
3
12
4
8
4
10
5
6
5
8
6
4
6
6
What quantities of X and Y should be purchased to maximize utility?

Guardian inc. is trying to develop an asset-financing plan. the firm has $450,000 in temporary current assets and $350,000 in permanent current assets. guardian also has $550,000 in fixed assets. assume a tax rate of 40 percent. a. construct two alternative financing plans for guardian. one of the plans should be conservative, with 70 percent of assets financed by long-term sources, and the other should be aggressive, with only 56.25 percent of assets financed by long-term sources. the current interest rate is 12 percent on long-term funds and 7 percent on short-term financing. compute the annual interest payments under each plan.

Lo.2, 3, 9 lori, who is single, purchased 5-years class property for $200,00 and 7-years class property for $420,000 on may 20, 2018. lori experts the taxable income derived form the business (without regard to the amount expensed under ⧠179) to be about $550,000. lori has determined that she should elect immediate ⧠179 expensing in the amount of $520,000, but she doesn’t know which asset she should completely expense under ⧠179. she does not claim any available additional first-year depreciation. a. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 5-year class asset. b. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 7-year class asset. c. what is your advice for lori? d. assume that lori is in the 24% marginal tax bracket and that she uses ⧠179 on the 7-year asset. determine the present value of the tax savings from the depreciation deductions for both assets. see appendix g for present value factors, and assume a 6% discount rate. e. assume the same facts as in part (d), except that lori decides not to use ⧠179 on either asset. determine the present value of the tax savings under this choice. in addition, determine which option lori should choose. f. present your solution to parts (d) and (e) of the problem in a spreadsheet using appropriate microsoft excel formulas. e-mail your spreadsheet to your instructor with a two-paragraph summary of your findings.

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)? $