How might profitability and market share be affected if retail pricing fluctuates depending on the cost of raw materials?

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.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

Salge inc. bases its manufacturing overhead budget on budgeted direct labor-hours. the variable overhead rate is $8.10 per direct labor-hour. the company's budgeted fixed manufacturing overhead is $74,730 per month, which includes depreciation of $20,670. all other fixed manufacturing overhead costs represent current cash flows. the direct labor budget indicates that 5,300 direct labor-hours will be required in september. the company recomputes its predetermined overhead rate every month. the predetermined overhead rate for september should be: