An industrial firm makes two products, A and B. Water is needed to make each unit of A and B. The production functions relating the amount of water XA needed to make A, and the amount of water XB needed to make B are A = 0.5 XA, and B = 0.25 XB, respectively. Water is the scarce resource-they have plenty of other needed resources. The products they make are unique, and hence they can set the unit price of each product at any value they want to. However experience tells them that the higher the unit price for a product, the less amount of that product they will sell. The relationship between unit price and quantity that can be sold is given by the following two demand functions. Required:
a. What are the amounts of A and B, and their unit prices, that maximize the total revenue that can be obtained?
b. Suppose the total amount of A and B could not exceed some amount Tmax. What are the amounts of A and B, and their unit prices, that maximize total revenue, if

1. Tmax = 10
2. Tmax = 5

c. Use linear programming to find the amounts of A and B and their unit prices that maximize total revenue assuming the total amount of water available is 10 units.

Ryan terlecki organized a new internet company, capuniverse, inc. the company specializes in baseball-type caps with logos printed on them. ryan, who is never without a cap, believes that his target market is college and high school students. you have been hired to record the transactions occurring in the first two weeks of operations. issued 2,900 shares of $0.01 par value common stock to investors for cash at $29 per share. borrowed $68,000 from the bank to provide additional funding to begin operations; the note is due in two years. paid $1,000 for the current month's rent of a warehouse and another $1,000 for next month's rent. paid $1,440 for a one-year fire insurance policy on the warehouse (recorded as a prepaid expense). purchased furniture and fixtures for the warehouse for $16,000, paying $3,200 cash and the rest on account. the amount is due within 30 days. purchased for $2,800 cash the university of pennsylvania, notre dame, the university of texas at austin, and michigan state university baseball caps as inventory to sell online. placed advertisements on google for a total of $340 cash. sold caps totaling $1,900, half of which was charged on account. the cost of the caps sold was $1,100. (hint: make two entries.) made full payment for the furniture and fixtures purchased on account in (e). received $280 from a customer on account.

For the year ended december 31, a company has revenues of $323,000 and expenses of $199,000. the company paid $52,400 in dividends during the year. the balance in the retained earnings account before closing is $87,000. which of the following entries would be used to close the dividends account?

Four students are at an extracurricular activity fair at their high school and are trying to decide which clubs to join. some information about the students is listed in this chart: which describes which ctso each student should join?