A nation's production possibilities curve might shift to the left (inward) as a result of: Group of answer choices1. technological advance. 2. increases in the size of the labor force. 3. the depletion of its soil fertility due to overplanting and overgrazing. 4. investing in more capital goods.

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.

Two products, qi and vh, emerge from a joint process. product qi has been allocated $34,300 of the total joint costs of $55,000. a total of 2,900 units of product qi are produced from the joint process. product qi can be sold at the split-off point for $11 per unit, or it can be processed further for an additional total cost of $10,900 and then sold for $13 per unit. if product qi is processed further and sold, what would be the financial advantage (disadvantage) for the company compared with sale in its unprocessed form directly after the split-off point?

The direct labor budget of yuvwell corporation for the upcoming fiscal year contains the following details concerning budgeted direct labor-hours: 1st quarter 2nd quarter 3rd quarter 4th quarterbudgeted direct labor-hours 11,200 9,800 10,100 10,900the company uses direct labor-hours as its overhead allocation base. the variable portion of its predetermined manufacturing overhead rate is $6.00 per direct labor-hour and its total fixed manufacturing overhead is $80,000 per quarter. the only noncash item included in fixed manufacturing overhead is depreciation, which is $20,000 per quarter. required: 1. prepare the company’s manufacturing overhead budget for the upcoming fiscal year.2. compute the company’s predetermined overhead rate (including both variable and fixed manufacturing overhead) for the upcoming fiscal year.