Simba Company’s standard materials cost per unit of output is $10.25 (2.50 pounds x $4.10). During July, the company purchases and uses 3,150 pounds of materials costing $16,695 in making 1,400 units of finished product. Compute the total, price, and quantity materials variances.

Insurance companies have internal controls in place to protect assets, monitor the accuracy of accounting records and encourage operational efficiencies and adherence to policies. these internal controls are generally of two types: administrative controls and accounting controls. administrative controls are the policies and procedures that guide the daily actions of employees. accounting controls are the policies and procedures that delineate authorizations of financial transactions that are done, safeguard assets, and provide reports on the company’s financial status in a reliable and timely manner. internal controls should include both preventative and detective controls. the purpose of preventative controls is to stop problems and errors before they occur. detective controls identify problems after they have occurred. preventative controls are usually more effective at reducing problems, but they also tend to be more expensive. internal controls must be flexible to adjust for changes in laws and regulations in addition to adding new products or modifying current ones. companies must also do regular analyses to ensure that the benefits of implementing the controls are worth their costs. when concerned about paying unwarranted insurance claims which type of control would be useful?

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.

The school cafeteria can make pizza for approximately $0.30 a slice. the cost of kitchen use and cafeteria staff runs about $200 per day. the pizza den nearby will deliver whole pizzas for $9.00 each. the cafeteria staff cuts the pizza into eight slices and serves them in the usual cafeteria line. with no cooking duties, the staff can be reduced by half, for a fixed cost of $75 per day. should the school cafeteria make or buy its pizzas?