A cob Douglas production function for a firm is given as Q=4L ½K½. The firm has also established that wage rate and interest paid on capital are $3 and $5 respectively for a production period. The firm intents to spend $200 million for the period on production cost. Compute the levels of capital and labor that will maximize output. What is the maximum output

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 smelting department of kiner company has the following production and cost data for november. production: beginning work in process 3,700 units that are 100% complete as to materials and 23% complete as to conversion costs; units transferred out 10,500 units; and ending work in process 8,100 units that are 100% complete as to materials and 41% complete as to conversion costs. compute the equivalent units of production for (a) materials and (b) conversion costs for the month of november. materials conversion costs total equivalent units

Bernard made a gift of $500,000 to his brother in 2014. due to bernard’s prior taxable gifts he paid $200,000 of gift tax. when bernard died in 2019, the applicable gift tax credit had increased. at bernard’s death, what amount related to the $500,000 gift to his brother is included in his gross estate?