The nation of ectenia has 40 competitive apple orchards, which sell apples at the world price of $2 per apple. the following equations describe the production function and the marginal product of labor in each orchard: q = 120l−l2, mpl = 120−2l where q is the number of apples produced in a day, l is the number of workers, and mpl is the marginal product of labor. what is each orchard’s labor demand as a function of the daily wage w?

(a) l=60−0.25w
(b) l=2,400−10w
(c) l=120−2w
(d) l=60−0.5w

Alocal club is selling christmas trees and deciding how many to stock for the month of december. if demand is normally distributed with a mean of 100 and standard deviation of 20, trees have no salvage value at the end of the month, trees cost $20, and trees sell for $50 what is the service level?

Suppose an economist believes that the price level in the economy is directly related to the money supply, or the amount of money circulating in the economy. the economist proposes the following relationship: p=a x m - p=price level - m=money supply - a=a composite of other factors, including real gdp, that change very slowly over time. how might an economist gather empirical data to test the proposed relationship between money and the price level? an economist would persuade the federal reserve to change the money supply to various levels, and observe the resulting changes in the price level. unlike researchers in the hard sciences, economists cannot study complex relationships using data. economists do not usually develop theoretical models of the economy but only analyze summary statistics about the current state of the economy. an economist would look for data on past changes in the money supply, and note the resulting changes in the price level

What are the forecasted levels of the line of credit and special dividends? (hints: create a column showing the ratios for the current year; then create a new column showing the ratios used in the forecast. also, create a preliminary forecast that doesn’t include any new line of credit or special dividends. identify the financing deficit or surplus in this preliminary forecast and then add a new column that shows the final forecast that includes any new line of credit or special dividend.) now assume that the growth in sales is only 3%. what are the forecasted levels of the line of credit and special dividends?