Hospital Equipment Company (HEC) acquired several fMRI machines for its inventory at a cost of $2,700 per machine. HEC usually sells these machines to hospitals at a price of $6,240. HEC also separately sells 12 months of training and repair services for fMRI machines for $1,560. HEC is paid $6,240 cash on November 30 for the sale of an fMRI machine delivered on December 1. HEC sold the machine at its regular price, but included one year of free training and repair service. Prepare journal entries would HEC record on November 30 and December 1? (Assume HEC uses a perpetual inventory system for recording the cost of goods sold.) (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)

Afreezer manufacturer might purchase sheets of steel, wiring, shelving, and so forth, as part of its final product. this is an example of what sub-classification of business market?

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.

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.