Harry enjoys dark roast coffee because he thinks drinking it makes him look quite sophisticated. In order to stomach it, however, he puts three containers of creamer into every cup of coffee so it is not too bitter. Harry only enjoys coffee in this combination. With less creamer the coffee is too bitter and he won't drink it; with more creamer the coffee is too sweet and also undrinkable. With coffee and creamer in the right proportions, however, Harry is always happy to have more coffee and creamer. His utility function can be written as follows: u(x, y) = min(3x, y), where x is cups of coffee y is containers of creamer. Required:
Suppose that Harry drinks one cup of coffee with his preferred three packs of creamer every day for seven days. What is his utility for that week?

The production manager of rordan corporation has submitted the following quarterly production forecast for the upcoming fiscal year: 1st quarter 2nd quarter 3rd quarter 4th quarter units to be produced 10,800 8,500 7,100 11,200 each unit requires 0.25 direct labor-hours, and direct laborers are paid $20.00 per hour. required: 1. prepare the company’s direct labor budget for the upcoming fiscal year. assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,500 hours of work each quarter. if the number of required direct labor-hours is less than this number, the workers are paid for 2,500 hours anyway. any hours worked in excess of 2,500 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

The owner of firewood to go is considering buying a hydraulic wood splitter which sells for $50,000. he figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. if, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is expected to be 32 cords per day, what would be its efficiency?

The common stock and debt of northern sludge are valued at $65 million and $35 million, respectively. investors currently require a return of 15.9% on the common stock and a return of 7.8% on the debt. if northern sludge issues an additional $14 million of common stock and uses this money to retire debt, what happens to the expected return on the stock? assume that the change in capital structure does not affect the interest rate on northern’s debt and that there are no taxes.