Andrea purchased an auto insurance policy with bodily injury liability limits of 250/500 ($250,000/$500,000). she also purchased a personal umbrella policy with a $1 million limit and a $500 self-insured retention. andrea was talking on her cell phone while driving, and her car struck and killed a pedestrian in a crosswalk. the court ordered her to pay $750,000 to the spouse of the person she killed. how will this claim be settled?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

The cutting department of cassel company has the following production and cost data for july. production costs 1. transferred out 12,300 units. beginning work in process $0 2. started 3,900 units that are 60% materials 62,856 complete as to conversion labor 12,622 costs and 100% complete as manufacturing overhead 23,100 to materials at july 31. materials are entered at the beginning of the process. conversion costs are incurred uniformly during the process. determine the equivalent units of production for (1) materials and (2) conversion costs. materials conversion costs total equivalent units of production link to text link to text compute unit costs. (round unit costs to 2 decimal places, e.g. 2.25.) materials $ conversion costs $ link to text link to text prepare a cost reconciliation schedule. (round unit costs to 2 decimal places, e.g. 2.25 and final answers to 0 decimal places, e.g. 1,225.) cost reconciliation costs accounted for transferred out $ work in process, july 31 materials $ conversion costs total costs $

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.