Aship has a single cargo hold which has a weight capacity of 70,000 pounds and a volume capacity of 30,000 cubic feet. the shipowner has contracted to carry loads of packaged beef. the total weight of the available beef is 65,000 pounds; the total weight of the available grain is 75,000 pounds. the volume per mass of the beef is 0.2 cubic foot per pound, and the volume per mass of the grain is 0.4 cubic foot per pound. the profit for shipping beef is $0.35 per pound, and the profit for shipping grain is $0.12 per pound. the shipowner is free to accept all or part of the available cargo; he wants to know how much meat and grain to accept in order to maximize profit.

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?

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms. a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Lillypad toys is a manufacturer of educational toys for children. six months ago, the company's research and development division came up with an idea for a unique touchscreen device that can be used to introduce children to a number of foreign languages. three months ago, the company produced a working prototype, and last month the company successfully launched its new device on the commercial market. what should lillypad's managers prepare for next? a. increased competition from imitators b. a prolonged period of uncontested success c. a sharp decline in demand for the product d. a difficult struggle to move from invention to innovation