Night shades inc. (nsi) manufactures biotech sunglasses. the variable materials cost is $15.70 per unit, and the variable labor cost is $6.10 per unit. a. what is the variable cost per unit? (do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) b. suppose the company incurs fixed costs of $620,000 during a year in which total production is 260,000 units. what are the total costs for the year? (do not round intermediate calculations and round your answer to the nearest whole number, e. g., 32.) c. if the selling price is $43.50 per unit, what is the cash break-even point? if depreciation is $420,000 per year, what is the accounting break-even point?

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

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.

Palmer frosted flakes company offers its customers a pottery cereal bowl if they send in 3 boxtops from palmer frosted flakes boxes and $1. the company estimates that 60% of the boxtops will be redeemed. in 2012, the company sold 675,000 boxes of frosted flakes and customers redeemed 330,000 boxtops receiving 110,000 bowls. if the bowls cost palmer company $3 each, how much liability for outstanding premiums should be recorded at the end of 2012?