This question concerns the efficient market allocation of a depletable resource. let’s think about rare earth minerals used in electronic devices and present in relatively small quantities in the earth’s crust. there are two time periods. suppose the willingness to pay function for the rare mineral is p=15-0.3q and the marginal cost of supplying a ton of the mineral is $5. the total stock of the mineral is 50 tons. as a benevolent social planner, you need to allocate the total stock of the mineral between the two periods in a dynamic efficient allocation. you decide that the discount rate should be 0%. given this information, find (a) how much of the mineral should you allocate to each time period? why? (b) what is the efficient price in each time period? (c) what is the marginal user cost in each time period? (d) do the static and dynamic efficiency criteria yield the same answers in this situation?

Suppose that hubert, an economist from an am talk radio program, and kate, an economist from a nonprofit organization on the west coast, are arguing over government bailouts. the following dialogue shows an excerpt from their debate: kate: to recent financial crises, the concept of bailouts is a hot topic for debate among everyone these days. hubert: indeed, it’s gotten crazy! a government bailout of severely distressed financial firms is unnecessary because free markets will properly price assets. kate: i don’t know about that. without a bailout of severely distressed financial firms, the economy will experience a deep recession. the disagreement between these economists is most likely due todifferences in scientific judgments . despite their differences, with which proposition are two economists chosen at random most likely to agree? business managers can raise profit more easily by reducing costs than by raising revenue. central banks should focus more on maintaining low unemployment than on maintaining low inflation. employers should not be restricted from outsourcing work to foreign nations

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.

During the year, the delph company had no beginning or ending inventories and it started, completed, and sold only two jobs—job d-75 and job c-100. it provided the following information related to those two jobs: job d-75: molding fabrication total direct materials cost $ 375,000 $ 325,000 $ 700,000 direct labor cost $ 200,000 $ 160,000 $ 360,000 machine-hours 15,000 5,000 20,000 job c-100: molding fabrication total direct materials cost $ 300,000 $ 250,000 $ 550,000 direct labor cost $ 175,000 $ 225,000 $ 400,000 machine-hours 5,000 25,000 30,000delph had no overapplied or underapplied manufacturing overhead during the year. assume delph uses a plantwide overhead rate based on machine-hours.1-a. compute the predetermined plantwide overhead rate.1-b. compute the total manufacturing costs assigned to job d-70 and job c-200.1-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 1-d. what is delph's cost of goods sold for the year? assume delph uses departmental overhead rates based on machine-hours.2-a. compute the predetermined departmental overhead rates.2-b. compute the total manufacturing costs assigned to job d-70 and job c-200.2-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 2-d. what is delph's cost of goods sold for the year?