Kellogg's begins to sell its cereals in new markets after conducting extensive marketing research. after the cereal begins to appear in these new markets, the company increases its promotion expenditure to counteract competitive responses. kellogg's is in the stage of the product life cycle.

Beta coefficients and the capital asset pricing model personal finance problem katherine wilson is wondering how much risk she must undertake to generate an acceptable return on her porfolio. the risk-free return currently is 4%. the return on the overall stock market is 14%. use the capm to calculate how high the beta coefficient of katherine's portfolio would have to be to achieve a portfolio return of 16%.

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

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.