A boat, costing $108,000 and uninsured, was wrecked the very first day it was used. It can either be disposed of for $11,000 cash and be replaced with a similar boat costing $110,000, or rebuilt for $98,000 and be brand new as far as operating characteristics and looks are concerned. A relevant cost analysis of the decision to replace the boat shows:

A cost equivalence between the two decision options.

An $11,000 net advantage associated with the decision to fix the old boat.

A $1,000 cost advantage associated with the decision to fix the old boat.

A $21,000 cost advantage associated with the decision to fix the old boat.

A $2,000 cost advantage associated with the decision to purchase a new boat.

Oceanside marine company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. oceanside uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 2 pound per unit; $ 11 per pound direct labor: 2 hours per unit; $ 19 per hour oceanside produced 2 comma 000 units during the quarter. at the end of the quarter, an examination of the direct materials records showed that the company used 7 comma 500 pounds of direct materials and actual total materials costs were $ 98 comma 100. what is the direct materials cost variance? (round any intermediate calculations to the nearest cent, and your final answer to the nearest dollar.)

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

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.