Caro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow: Proportion of Services Used by Department Direct Costs Maintenance Cafeteria Machining Assembly Machining $ 99,000 Assembly 64,400 Maintenance 40,000 — 0.2 0.5 0.3 Cafeteria 32,000 0.8 — 0.1 0.1 Caro estimates that the variable costs in the Maintenance Department total $14,500, and in the Cafeteria variable costs total $16,000. Avoidable fixed costs in the Maintenance Department are $9,000. Required: If Caro outsources the Maintenance Department, what is the maximum it can pay an outside vendor without increasing total costs? (Do not round intermediate calculations.)

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls

Drag the tiles to the correct boxes to complete the pairs.(there's not just one answer)match each online banking security practice with the pci security requirement that mandates it.1. encrypting transfer of card data2. installing a firewall3. installing antivirus software4. assigning unique ids and user namesa. vulnerability management programb. credit card data protectionc. strong access controlsd. secure network

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.