Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD:

Demand: P= 1000 -10Q
Total Revenue: TR= 1000Q- 10Q^2
Marginal Revenue: MR= 1000- 20Q
Marginal Cost: MC= 100+10Q

Scenario Price (Dollars) Quantity (DVDs)

Maximizes the company's profit:
Maximizes social welfare:

The deadweight loss from the monopoly is $ .

Suppose, in addition to the foregoing costs, the director of the film has to be paid. The company is considering four options:

I. A flat fee of 2,000 Ectenian dollars
II. 50 percent of the profits
III. 150 Ectenian dollars per unit sold
IV. 50 percent of the revenue

You and your new australian bride matilda, are applying for a loan and are required to submit a balance sheet with your net worth. you own a 2008 toyota camry that you bought last month for $9,995. the kelly blue book value for this car is $13,995. you owe $8,150 on the car loan for the camry. you pay off your visa credit card every month and have not paid any credit card interest this year. the current visa credit card balance is $3,522, and the next statement is due in 15 days. you have a student loan balance of $6,500. you presently have $425 in your checking account and $1,540 in your savings account. you own 100 shares of ibm stock that you purchased for $85.50 per share. one share of ibm is now selling for $158.42. you own computers and other electronics that you purchased for $4,100 but could probably sell today on e-bay for $1,800. your gross income is $80,000 per year. what is your current net worth? (see wb ch. 2 example 2.3)

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Salaries are $4,500 per week for five working days and are paid weekly at the end of the day fridays. the end of the month falls on a thursday. the accountant for dayton company made the appropriate accrual adjustment and posted it to the ledger. the balance of salaries payable, as shown on the adjusted trial balance, will be a (assume that there was no beginning balance in the salaries payable account.)