Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:x 1 2 3 4 5y 14 18.9 14.4 19.6 20.0 (a) Draw a scatter diagram. (3 points)(b) Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a). (3 points)(c) Find the correlation coefficient r. Find the coefficient of determination . What percentage of variation in y is explained by the variation in x and the least squares model? (4 points)

Kahn company's static budget was based on sales volume of 12,000 units. its flexible budget was based on sales volume of 14,000 units. based on this information multiple choice the sales volume variance is expected to be unfavorable. the materials cost volume variance is expected to be favorable. the labor cost volume variance is expected to be unfavorable. none of the answers is correct.

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Down under products, ltd., of australia has budgeted sales of its popular boomerang for the next four months as follows: unit salesapril 74,000may 85,000june 114,000july 92,000the company is now in the process of preparing a production budget for the second quarter. past experience has shown that end-of-month inventory levels must equal 10% of the following month’s unit sales. the inventory at the end of march was 7,400 units.required: prepare a production budget by month and in total, for the second quarter.