Fosbre corporation's april 30 inventory was destroyed by fire. january 1 inventory was $156,000, and purchases for january through april totaled $468,200. sales revenue for the same period were $718,800. fosbre's normal gross profit percentage is 35% on sales. using the gross profit method, estimate fosbre's april 30 inventory that was destroyed by fire.

Atoy manufacturer makes its own wind-up motors, which are then put into its toys. while the toy manufacturing process is continuous, the motors are intermittent flow. data on the manufacture of the motors appears below.annual demand (d) = 50,000 units daily subassembly production rate = 1,000setup cost (s) = $85 per batch daily subassembly usage rate = 200carrying cost = $.20 per unit per year(a) to minimize cost, how large should each batch of subassemblies be? (b) approximately how many days are required to produce a batch? (c) how long is a complete cycle? (d) what is the average inventory for this problem? (e) what is the total annual inventory cost (holding plus setup) of the optimal behavior in this problem?

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.

Aborrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. the first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 5% annual payment cap. on the reset date, the composite rate is 6%. what would the year 3 monthly payment be?