On 2 May, Maisarah wrote to Ramlah offering to sell her a female Bengal cat and requiring an answer through post. The letter was misdirected and Ramlah only received Maisarah’s letter on 5 May. Ramlah posted her acceptance on the same day, but it only reached Maisarah on 9 May. Meanwhile, on 8 May, Maisarah, not having received an answer by 7 May as she had expected, sold the cat to someone else. Maisarah argued that there could not be a binding contract unless she actually received Ramlah’s acceptance letter. Until that happens, she is free to sell the cat to another buyer. Advise Ramlah, whether there was a valid contract between her and Maisarah.

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.]

Rolston music company is considering the sale of a new sound board used in recording studios. the new board would sell for $27,200, and the company expects to sell 1,570 per year. the company currently sells 2,070 units of its existing model per year. if the new model is introduced, sales of the existing model will fall to 1,890 units per year. the old board retails for $23,100. variable costs are 57 percent of sales, depreciation on the equipment to produce the new board will be $1,520,000 per year, and fixed costs are $1,420,000 per year.if the tax rate is 35 percent, what is the annual ocf for the project?

Environmentalists are concerned about emissions of sulfur dioxide into the air. the average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in milan, italy, is 29. the number of days per year in which emission limits are exceeded is normally distributed with a standard deviation of 4.0 days. what percentage of the years would exceed 37 days?