(5 pts) Given x units of capital and y units of labor, a company produces P(x, y) = 10x 1/2y 1/3 units of its product. Each unit of capital costs $2000, and each unit of labor costs $4000. Use Lagrange multipliers to find the values of x and y which maximize the company’s production if the company spends $20, 000 total on capital and labor. You may assume the maximum occurs at a point where the Lagrange multipliers condition is satisfied.

Chance company had two operating divisions, one manufacturing farm equipment and the other office supplies. both divisions are considered separate components as defined by generally accepted accounting principles. the farm equipment component had been unprofitable, and on september 1, 2018, the company adopted a plan to sell the assets of the division. the actual sale was completed on december 15, 2018, at a price of $600,000. the book value of the division’s assets was $1,000,000, resulting in a before-tax loss of $400,000 on the sale. the division incurred a before-tax operating loss from operations of $130,000 from the beginning of the year through december 15. the income tax rate is 40%. chance’s after-tax income from its continuing operations is $350,000. required: prepare an income statement for 2018 beginning with income from continuing operations. include appropriate eps disclosures assuming that 100,000 shares of common stock were outstanding throughout the year. (amounts to be deducted should be indicated with a minus sign. round eps answers to 2 decimal places.)

Garfield corporation is considering building a new plant in canada. it predicts sales at the new plant to be 50,000 units at $5.00/unit. below is a listing of estimated expenses. category total annual expenses % of annual expense that are fixed materials $50,000 10% labor $90,000 20% overhead $40,000 30% marketing/admin $20,000 50% a canadian firm was contracted to sell the product and will receive a commission of 10% of the sales price. no u.s. home office expenses will be allocated to the new facility. the contribution margin ratio for garfield corporation is

Suppose you hold a portfolio consisting of a $10,000 investment in each of 8 different common stocks. the portfolio's beta is 1.25. now suppose you decided to sell one of your stocks that has a beta of 1.00 and to use the proceeds to buy a replacement stock with a beta of 1.55. what would the portfolio's new beta be? do not round your intermediate calculations.