What causes the economy to move from its short-run equilibrium to its long-run equilibrium?

Exercise 8-6 goods in transit [lo8-2] the kwok company's inventory balance on december 31, 2016, was $190,000 (based on a 12/31/16 physical count) before considering the following transactions: 1. goods shipped to kwok f.o.b. destination on december 20, 2016, were received on january 4, 2017. the invoice cost was $35,000. 2. goods shipped to kwok f.o.b. shipping point on december 28, 2016, were received on january 5, 2017. the invoice cost was $22,000. 3. goods shipped from kwok to a customer f.o.b. destination on december 27, 2016, were received by the customer on january 3, 2017. the sales price was $45,000 and the merchandise cost $27,000. 4. goods shipped from kwok to a customer f.o.b. destination on december 26, 2016, were received by the customer on december 30, 2016. the sales price was $25,000 and the merchandise cost $18,000. 5. goods shipped from kwok to a customer f.o.b. shipping point on december 28, 2016, were received by the customer on january 4, 2017. the sales price was $30,000 and the merchandise cost $17,000. required: determine the correct inventory amount to be reported in kwok's 2016 balance sheet.

The production manager of rordan corporation has submitted the following quarterly production forecast for the upcoming fiscal year: 1st quarter 2nd quarter 3rd quarter 4th quarter units to be produced 10,800 8,500 7,100 11,200 each unit requires 0.25 direct labor-hours, and direct laborers are paid $20.00 per hour. required: 1. prepare the company’s direct labor budget for the upcoming fiscal year. assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,500 hours of work each quarter. if the number of required direct labor-hours is less than this number, the workers are paid for 2,500 hours anyway. any hours worked in excess of 2,500 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

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.