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.

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

Oerstman, inc. uses a standard costing system and develops its overhead rates from the current annual budget.the budget is based on an expected annual output of 120,000 units requiring 480,000 direct labor hours.(practical capacity is 500,000 hours)annual budgeted overhead costs total $772,800, of which $556,800 is fixed overhead.a total of 119,300 units, using 478,000 direct labor hours, were produced during the year.actual variable overhead costs for the year were $260,400 and actual fixed overhead costs were $555,450.required: 1. compute the fixed overhead spending variance and indicate if favorable or unfavorable.2. compute the fixed overhead volume variance and indicate if favorable or unfavorable.

Which of the following is not one of the four principles of bottleneck management? a. increasing capacity at non-bottleneck stations is a mirageb. lost time at the bottleneck is lost system capacity.c. release work orders to the system at the bottleneck's capacity pace.d. increased bottleneck capacity is increased system capacity.e. bottlenecks should be moved to the end of the system process.