Dart, inc. makes and sells umbrellas. the company is in the process of preparing its selling and administrative expense budget for the last half of the year. the following budget data are available: variable cost per unit sold monthly fixed cost sales commissions$0.60 $ 6000 shipping1.20 advertising0.30 executive salaries 4 depreciation on office equipment 8000 other0.35 28000 expenses are paid in the month incurred. if the company has budgeted to sell 8000 umbrellas in october, how much is the total budgeted variable selling and administrative expenses for october?

Following is a list of various costs incurred in producing replacement automobile parts. with respect to the production and sale of these auto parts, classify each cost as either variable costs, fixed costs, or mixed costs. 1. oil used in manufacturing equipment 2. plastic 3. property taxes, $165,000 per year on factory building and equipment 4. salary of plant manager 5. cost of labor for hourly workers 6. packaging 7. factory cleaning costs, $6,000 per month 8. metal 9. rent on warehouse, $10,000 per month plus $25 per square foot of storage used 10. property insurance premiums, $3,600 per month plus $0.01 for each dollar of property over $1,200,000 11. straight-line depreciation on the production equipment 12. hourly wages of machine operators 13. electricity costs, $0.20 per kilowatt-hour 14. computer chip (purchased from a vendor) 15. pension cost, $1.00 per employee hour on the job

Granby foods' (gf) balance sheet shows a total of $25 million long-term debt with a coupon rate of 8.50%. the yield to maturity on this debt is 8.00%, and the debt has a total current market value of $27 million. the company has 10 million shares of stock, and the stock has a book value per share of $5.00. the current stock price is $20.00 per share, and stockholders' required rate of return, r s, is 12.25%. the company recently decided that its target capital structure should have 35% debt, with the balance being common equity. the tax rate is 40%. calculate waccs based on book, market, and target capital structures. what is the sum of these three waccs?

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.